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Physics of Neutrinos

  • Masataka Fukugita
  • Tsutomu Yanagida

Abstract

Ever since it was first proposed the neutrino has played a crucial role in the advancement of our understanding of particle physics. The neutrino was first conjectured by W. Pauli in a letter written in 1930 [1] as “verzweifeltes Ausweg” in order to save the energy conservation law in the nuclear beta-decay process, in which the emitted electron exhibits a continuous energy spectrum [2], as well as to explain the wrong statistics of 14N and 6Li — the neutron was not yet known at that time, and this latter problem was solved by its discovery. According to his conjecture this hypothetical particle is electrically neutral and has a mass much smaller than the proton. The particle was also supposed to have a spin of 1/2 and to respect the exclusion (Pauli) principle. Pauli argued that this neutral particle may have a finite, but small, magnetic moment no greater than 10-13 e cm (0.02 Bohr magneton) with a penetration power of at least 10 times greater than that of the gamma ray. He asked experimentalists participating in the conference in Tübingen whether such a particle could be found experimentally.

Keywords

Yukawa Coupling Radiative Correction Neutrino Oscillation Solar Neutrino Baryon Asymmetry 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    W. Pauli, Letter to L. Meitner and her colleagues (letter open to the participants of the conference in Tübingen) (1930), recorded in W. Pauli, Wissenschaftlicher Briefwechsel, Band II (Springer, Berlin, 1985) S. 39; the first publication was given in VV. Pauli, Septième Conseil de Physique Solvay 1933: “Noyaux Atomiques”, Paris 1934, p.324f.Google Scholar
  2. [2]
    J. Chadwick, Verh. d. deutschen phys. Ges. 16, 383 (1914).Google Scholar
  3. [3]
    E. Fermi, Ricercha Scient. 2, No 12 (1933); Z. Phys. 88, 161 (1934).Google Scholar
  4. [4]
    F. Perrin, Compt. Rendues 197, 1625 (1933).Google Scholar
  5. [5]
    M. Fierz, Z. Phys. 104, 553 (1937).ADSGoogle Scholar
  6. [6]
    B. Stech and J. H. D. Jensen, Z. Phys. 141, 175 (1955).ADSMATHGoogle Scholar
  7. [7]
    L. Landau, Nucl. Phys. 3, 127 (1957).Google Scholar
  8. [8]
    E. C. G. Sudarshan and R. E. Marshak, in Proc. Padua Conference on Mesons and Recently Discovered Particles (1957);Google Scholar
  9. [8a]
    R. P. Feynman and M. Gell-Mann, Phys. Rev. 109, 193 (1958);MathSciNetADSMATHGoogle Scholar
  10. [8b]
    E. C. G. Sudarshan and R. E. Marshak, Phys. Rev. 109, 1S60(L) (1958).Google Scholar
  11. [9]
    T. D. Lee and C. N. Yang, Phys. Rev. 104, 254 (1956).ADSGoogle Scholar
  12. [10]
    F. Reines and C. L. Cowan, Jr., Nature 178, 446 (1956);ADSGoogle Scholar
  13. [10a]
    C. L. Cowan et al., Science 124, 103 (1956).ADSGoogle Scholar
  14. [11]
    W. B. Herrmannsfeldt, D. R. Maxson, P. Stähelin and J. S. Allen, Phys. Rev. 107, 641(L) (1957).ADSGoogle Scholar
  15. [12]
    M. Goldhaber, L. Grodzins and A. W. Sunyar, Phys. Rev. 109, 1015(L) (1958).ADSGoogle Scholar
  16. [13]
    W. Pauli, in Aufsätze und Vorträge über Physik und Erkenntnistheorie (F. Vieweg und Sohn, Braunschweig, 1961) S. 156.Google Scholar
  17. [14]
    H. Yukawa, Proc. Phys. Math. Soc. Japan 17, 48 (1935).Google Scholar
  18. [15]
    J. Schwinger, Ann. Phys. (NY) 2, 407 (1957).MathSciNetADSMATHGoogle Scholar
  19. [16]
    S. L. Glashow, Nucl. Phys. 22, 579 (1961).Google Scholar
  20. [17]
    S. Weinberg, Phys. Rev. Lett. 19, 1264 (1967).ADSGoogle Scholar
  21. [18]
    A. Salam, in Elementary Particle Theory, Proc. of the 8th Nobel Symposium., Aspenäsgärden, 1968, ed. by N. Svartholm (Almqvist and Wiksell, Stockholm, 1968) p.367.Google Scholar
  22. [19]
    G.‘t Hooft, Nucl. Phys. B35, 167 (1971).ADSGoogle Scholar
  23. [20]
    F. J. Hasert et al, Phys. Lett. 46B, 138 (1973).ADSGoogle Scholar
  24. [21]
    S. Weinberg, Rev. Mod. Phys. 46, 255 (1974); in Proc. of the 19th International Conference on High Energy Physics, Tokyo, 1978, ed. by S. Homma, M. Kawaguchi and H. Miyazawa (Physical Society of Japan, Tokyo, 1979) p.907.MathSciNetADSGoogle Scholar
  25. [22]
    G. Arnison et al., Phys. Lett. 122B, 103 (1983);ADSGoogle Scholar
  26. [22]
    G. Arnison et al., Phys. Lett. 126B, 398 (1983);ADSGoogle Scholar
  27. [22]
    M. Banner et al, Phys. Lett. 122B, 476 (1983).Google Scholar
  28. [23]
    S. Weinberg, in Proc. of the First Workshop on Grand Unification, ed. by P. H. Frampton, S. L. Glashow and A. Yildiz (Math Sei Press, 1980) p.347; in Proc. of 23rd International Conference on High Energy Physics, Berkeley 1986, ed. by S. C. Loken (World Scientific, Singapore, 1987), vol. I, p.271.Google Scholar
  29. [24]
    E. Majorana, Nuovo Cim. 14, 171 (1937).Google Scholar
  30. [25]
    E. M. Lyman, Phys. Rev. 55, 234(A) (1939).Google Scholar
  31. [26]
    R. O. Haxby, W. E. Shoupp, W. E. Stephens and W. H. Wells, Phys. Rev. 58, 1035 (1940).ADSGoogle Scholar
  32. [27]
    E. J. Konopinski, Phys. Rev. 72, 518(L) (1947).ADSGoogle Scholar
  33. [28]
    L. M. Langer and R. J. D. Moffat, Phys. Rev. 88, 689 (1952).ADSGoogle Scholar
  34. [29]
    K.-E. Bergkvist, Nucl. Phys. B39, 317; 371 (1972).ADSGoogle Scholar
  35. [30]
    V. A. Lubimov et al., Phys. Lett. 94, 266 (1980).Google Scholar
  36. [31]
    M. Goeppert-Mayer, Phys. Rev. 48, 512 (1935).ADSMATHGoogle Scholar
  37. [32]
    W. H. Furry, Phys. Rev. 56, 1184 (1939).ADSMATHGoogle Scholar
  38. [33]
    B. Pontecorvo, Zh. Eksp. Teor. Fiz. 33, 549 (1957) [JETP 6, 429 (1958)]Google Scholar
  39. [34]
    Z. Maki, M. Nakagawa, S. Sakata, Prog. Theor. Phys. 28, 870 (1962).ADSMATHGoogle Scholar
  40. [35]
    S. S. Gershtein and Ya. B. Zeldovich, Pis’ma Zh. Eksp. Teor. Fiz. 4, 174 (1966) [JETP Lett. 4, 120 (1966).]Google Scholar
  41. [36]
    R. Cowsik and J. McClelland, Phys. Rev. Lett. 29, 669 (1972).ADSGoogle Scholar
  42. [37]
    R. Davis, D. S. Harmer and K. C. Hoffman, Phys. Rev. Lett. 20, 1205 (1968).ADSGoogle Scholar
  43. [38]
    J. N. Bahcall and R. Davis, Jr., in Essays in Nuclear Astrophysics, ed. by C. A. Barnes, D. D. Clayton and D. Schramm (Cambrige University Press, Cambridge, 1982) p.243.Google Scholar
  44. [39]
    J. N. Bahcall, Neutrino Astrophysics (Cambridge University Press, Cambridge, 1989).Google Scholar
  45. [40]
    K. S. Hirata et al., Phys. Rev. Lett. 63, 16 (1989);ADSGoogle Scholar
  46. [40a]
    K. S. Hirata et al., Phys. Rev. Lett. 65, 1297 (1990).ADSGoogle Scholar
  47. [41]
    A. I. Abazov et al, Phys. Rev. Lett. 67, 3332 (1991).ADSGoogle Scholar
  48. [42]
    P. Anselmann et al., Phys. Lett. B285, 376; 390 (1992).ADSGoogle Scholar
  49. [43]
    A. D. Dolgov and Ya. B. Zeldovich, Rev. Mod. Phys. 53, 1 (1981).MathSciNetADSGoogle Scholar
  50. [44]
    E. W. Kolb and M. S. Turner, The Early Universe (Addison-Wesley, Redwood, U. S. A., 1990).MATHGoogle Scholar
  51. [45]
    H. Weyl, Z. f. Phys. 56, 330 (1929). More discussion was made by W. Pauli, Handbuch d. Phys. 24.1, 83 (1933) [especially p.226].ADSMATHGoogle Scholar
  52. [46]
    E. S. Abers and B. W. Lee, Phys. Rep. C9, 1 (1973);ADSGoogle Scholar
  53. [46a]
    J. C. Taylor, Gauge Theories of Weak Interactions (Cambridge University Press, Cambridge, 1976).Google Scholar
  54. [47]
    C. N. Yang and R. L. Mills, Phys. Rev. 96, 191 (1954);MathSciNetADSGoogle Scholar
  55. [47a]
    R. Utiyama, Phys. Rev. 101, 1597 (1956).MathSciNetADSMATHGoogle Scholar
  56. [48]
    Y. Nambu, G. Jona-Lasinio, Phys. Rev. 122, 345 (1961);ADSGoogle Scholar
  57. [48a]
    Y. Nambu, G. Jona-Lasinio, Phys. Rev. 124, 246 (1961);ADSGoogle Scholar
  58. [48b]
    J. Goldstone, Nuovo Cim. Serie X, 19, 154 (1961).MathSciNetGoogle Scholar
  59. [49]
    P. W. Higgs, Phys. Lett. 12, 132 (1964);ADSGoogle Scholar
  60. [49a]
    P. W. Higgs, Phys. Rev. Lett. 13, 508 (1964);MathSciNetADSGoogle Scholar
  61. [49b]
    F. Englert and R. Brout, Phys. Rev. Lett. 13, 321 (1964);MathSciNetADSGoogle Scholar
  62. [49c]
    G. S. Guralnik, C. R. Hagen and T. W. B. Kibble, Phys. Rev. Lett. 13, 585 (1964);ADSGoogle Scholar
  63. [49d]
    T. W. B. Kibble, Phys. Rev. 155, 1554 (1967).ADSGoogle Scholar
  64. [50]
    S. L. Glashow, J. Iliopoulos and L. Maiani, Phys. Rev. D2, 1285 (1970).Google Scholar
  65. [51]
    M. Gell-mann and M. Levy, Nuovo Cim. 10, 705 (1960).MathSciNetGoogle Scholar
  66. [52]
    N. Cabibbo, Phys. Rev. Lett. 10, 531 (1963).ADSGoogle Scholar
  67. [53]
    M. Kobayashi and T. Maskawa, Prog. Theor. Phys. 49, 652 (1973).ADSGoogle Scholar
  68. [54]
    R. E. Behrends, R. J. Finkelstein and A. Sirlin, Phys. Rev. 101, 866 (1956).ADSMATHGoogle Scholar
  69. [55]
    Particle Data Group, Phys. Rev. D45, Part II, 1 (1992).Google Scholar
  70. [56]
    B. Adeva et al. (L3 collaboration), Z. Phys. C51, 179 (1991).Google Scholar
  71. [57]
    G. Alexander et al. (OPAL collaboration), Z. Phys. C52, 175 (1991).Google Scholar
  72. [58]
    P. Abreu et al. (Delphi collaboration), Nucl. Phys. B367, 511 (1991).Google Scholar
  73. [59]
    D. Decamp et al. (Aleph collaboration), Z. Phys. C53, 1 (1992).Google Scholar
  74. [60]
    The LEP collaborations: ALEPH, DELPHI, L3 and OPAL, Phys. Lett. B276, 247 (1992).Google Scholar
  75. [61]
    J. Alitti et al. (UA2 collaboration), Phys. Lett. B276, 354 (1992).Google Scholar
  76. [62]
    F. Abe et al. (CDF collaboration), Phys. Rev. Lett. 65, 2243 (1990).Google Scholar
  77. [63]
    H. Abramowicz et al. (CDHS collaboration), Phys. Rev. Lett. 57, 298 (1986).Google Scholar
  78. [64]
    J. V. Allaby et al. (CHARM Collaboration) Z. Phys. C36, 611 (1987).Google Scholar
  79. [65]
    A. Sirlin, Phys. Lett. B232, 123 (1989);ADSGoogle Scholar
  80. [65a]
    S. Fanchiotti and A. Sirlin, Phys. Rev. D41, 319 (1990).Google Scholar
  81. [66]
    A. Sirlin, Phys. Rev. D22, 971 (1980);ADSGoogle Scholar
  82. [66a]
    A. Sirlin, Phys. Rev. D29, 89 (1984).ADSGoogle Scholar
  83. [67]
    K.-I. Aoki, Z. Hioki, R. Kawabe, M. Konuma and T. Muta, Prog. Theor. Phys. Suppl. 73, 1 (1982).ADSGoogle Scholar
  84. [68]
    W. F. L. Hollik, Fortsch. Phys. 38, 165 (1990).ADSGoogle Scholar
  85. [69]
    P. Langacker, in Electroweak Physics Beyond the Standard Model, ed. J. W. F. Valle and J. Velasco (World Scientific, Singapore, 1991), p.75;Google Scholar
  86. [69a]
    P. Langacker, Phys. Rev. Lett. 63, 1920 (1989);ADSGoogle Scholar
  87. [69b]
    P. Langacker and M. Luo, Phys. Rev. D44, 817 (1991).ADSGoogle Scholar
  88. [70]
    J. Ellis and G. L. Fogli, Phys. Lett. B249, 543 (1990).ADSGoogle Scholar
  89. [71]
    L. F. Abbott and R. M. Barnett, Phys. Rev. D18, 3214 (1978);ADSGoogle Scholar
  90. [71a]
    J. E. Kim, P. Langacker, M. Levine and H. H. Williams, Rev. Mod. Phys. 53, 211 (1981).ADSGoogle Scholar
  91. [72]
    U. Amaldi et al., Phys. Rev. D36, 1385 (1987);ADSGoogle Scholar
  92. [72a]
    G. L. Fogli and D. Haidt, Z. Phys. C40, 379 (1988);ADSGoogle Scholar
  93. [72b]
    G. Costa et al., Nucl. Phys. B297, 244 (1988);ADSGoogle Scholar
  94. [72c]
    J. Ellis and G. L. Fogli, Phys. Lett. B232, 139 (1989).ADSGoogle Scholar
  95. [73]
    D. Decamp et al., Phys. Lett. B236, 233 (1990);ADSGoogle Scholar
  96. [73a]
    D. Decamp et al., Phys. Lett. 245, 289 (1990);Google Scholar
  97. [73b]
    D. Decamp et al., Phys. Lett. 246, 306 (1990).Google Scholar
  98. [74]
    S. Coleman and E. Weinberg, Phys. Rev. D7, 1888 (1973).ADSGoogle Scholar
  99. [75]
    D. Buskulic et. al., Phys. Lett. B313, 299 (1993).ADSGoogle Scholar
  100. [76]
    M. Veltman, Acta. Phys. Pol. B8, 475 (1977).Google Scholar
  101. [77]
    B. W. Lee, C. Quigg and H. B. Thacker, Phys. Rev. D16, 1519 (1977).ADSGoogle Scholar
  102. [78]
    J. Kuti, L. Lin and Y. Shen, Phys. Rev. Lett. 61, 678 (1988);ADSGoogle Scholar
  103. [78a]
    A. Hasenfratz et al., Nucl. Phys. B317, 81 (1989);MathSciNetADSGoogle Scholar
  104. [78b]
    G. Bhanot, K. Bitar, U. M. Heller and H. Neuberger, Nucl. Phys. B353, 551 (1991);ADSGoogle Scholar
  105. [78c]
    U. M. Heller, H. Neuberger and P. Vranas, Florida preprint FSU-SCRI-91–94 (1991);Google Scholar
  106. [78d]
    R. Dashen and H. Neuberger, Phys. Rev. Lett. 50, 1897 (1983).ADSGoogle Scholar
  107. [79]
    T. Kinoshita and A. Sirlin, Phys. Rev. 113, 1652 (1959);ADSGoogle Scholar
  108. [79a]
    G. Kâllén, Nucl. Phys. B1, 225 (1967);Google Scholar
  109. [79b]
    A. Sirlin, Phys. Rev. 164, 1767 (1967).ADSGoogle Scholar
  110. [80]
    A. Sirlin, Nucl. Phys. B71, 29 (1974).Google Scholar
  111. [81]
    W. J. Marciano and A. Sirlin, Phys. Rev. Lett. 56, 22 (1986);ADSGoogle Scholar
  112. [81a]
    W. J. Mar-ciano, Ann. Rev. Nucl. Part. Sci. 41, 469 (1992).ADSGoogle Scholar
  113. [82]
    J. C. Hardy et al., Nucl. Phys. A509, 429 (1990);ADSGoogle Scholar
  114. [82a]
    I. S. Towner and J. C. Hardy, Nucl. Phys. A205, 33 (1973)ADSGoogle Scholar
  115. [83]
    A. Sirlin, Phys. Rev. D35, 3423 (1987);ADSGoogle Scholar
  116. [83a]
    see also W. Jaus and G. Rasche, Nucl. Phys. A143, 202 (1970);ADSGoogle Scholar
  117. [83b]
    A. Sirlin and R. Zucchini, Phys. Rev. Lett. 57, 1994 (1986);ADSGoogle Scholar
  118. [83c]
    W. Jaus and G. Rasche, Phys. Rev. D35, 3420 (1987) for history of the radiative correction of O2)ADSGoogle Scholar
  119. [84]
    P. Bopp et al., Phys. Rev. Lett. 56, 919 (1986).ADSGoogle Scholar
  120. [85]
    W. Mampe et al., Phys. Rev. Lett. 63, 593 (1989);ADSGoogle Scholar
  121. [85a]
    J. Byrne et al., Phys. Rev. Lett. 65, 289 (1990).Google Scholar
  122. [86]
    D. H. Wilkinson, Nucl. Phys. A377, 474 (1982).ADSGoogle Scholar
  123. [87]
    M. Ademollo and R. Gatto, Phys. Lett. 10, 339 (1964).MathSciNetADSGoogle Scholar
  124. [88]
    H. Leutwyler and M. Roos, Z. Phys. C25, 91 (1984).ADSGoogle Scholar
  125. [89]
    J. F. Donoghue, B. R. Holstein and S. W. Klimt, Phys. Rev. D35, 934 (1987).ADSGoogle Scholar
  126. [90]
    M. Bourquin et al., Z. Phys. C21, 27 (1983).ADSGoogle Scholar
  127. [91]
    D. I. Britton et al., Phys. Rev. Lett. 68, 3000 (1992);ADSGoogle Scholar
  128. [91a]
    G. Czapek et al., Phys. Rev. Lett. 70, 17 (1993).ADSGoogle Scholar
  129. [92]
    F. Abe et al, Phys. Rev. Lett. 69, 28 (1992).ADSGoogle Scholar
  130. [93]
    J. Alitti et al., Z. Phys. C52, 209 (1991).ADSGoogle Scholar
  131. [94]
    D. A. Dryman, preprint Triumf TRI-PP-92–3 (1992).Google Scholar
  132. [95]
    H. Albrecht et al., Phys. Lett. B292, 221 (1992).ADSGoogle Scholar
  133. [96]
    J. Z. Bai, et. al., Phys. Rev. Lett. 69, 3021 (1992).Google Scholar
  134. [97]
    D. Buskulic et al., Phys. Lett B297, 432 (1992).ADSGoogle Scholar
  135. [98]
    J. Bernstein, M. Ruderman and G. Feinberg, Phys. Rev. 132, 1227 (1963).ADSGoogle Scholar
  136. [99]
    S. L. Adler, Phys. Rev. 177, 2426 (1969);ADSGoogle Scholar
  137. [99a]
    J. S. Bell and R. Jackiw, Nuovo Cim. 60A, 47 (1969).Google Scholar
  138. [100]
    N. G. Deshpande, Oregon preprint OITS-107 (1979);Google Scholar
  139. [100a]
    C. Q. Geng and R. E. Marshak, Phys. Rev. D39, 693 (1989);ADSGoogle Scholar
  140. [100b]
    R. Foot, G. C. Joshi, H. Lew, and R. R. Volkas, Mod. Phys. Lett. A5, 95 (1990);ADSGoogle Scholar
  141. [100c]
    K. S. Babu and R. N. Mohapatra, Phys. Rev. Lett. 63, 938 (1989).ADSGoogle Scholar
  142. [101]
    K. S. Babu and R. N. Mohapatra, Phys. Rev. D42, 3866 (1990).ADSGoogle Scholar
  143. [102]
    L. Davis,A. S. Goldhaber and M. M. Nieto, Phys. Rev. Lett. 35, 1402 (1975).ADSGoogle Scholar
  144. [103]
    H. F. Dylla and J. G. King, Phys. Rev. A7, 1224 (1973);ADSGoogle Scholar
  145. [103a]
    see also J. C. Zorn, G. E. Chamberlain and V. W. Hughes, Phys. Rev. 129, 2566 (1963).ADSGoogle Scholar
  146. [104]
    J. Baumann, R. Gähler, J. Kalus and W. Mampe, Phys. Rev. D37, 3107 (1988);ADSGoogle Scholar
  147. [104a]
    R. Gähler, J. Kalus and W. Mampe, Phys. Rev. D25, 2887 (1982).ADSGoogle Scholar
  148. [105]
    G. Barbiellini and G. Cocconi, Nature 329, 21 (1987).ADSGoogle Scholar
  149. [106]
    W. J. Marciano and A. I. Sanda, Phys. Lett. 67B, 303 (1977);ADSGoogle Scholar
  150. [106a]
    B. W. Lee and R. E. Shrock, Phys. Rev. D16. 1444 (1977).ADSGoogle Scholar
  151. [107]
    J. E. Gunn, B. W. Lee, I. Lerche, D. N. Schramm and G. Steigman, Astro-phys. J. 223, 1015 (1978).ADSGoogle Scholar
  152. [108]
    K. Fujikawa and R. E. Shrock, Phys. Rev. Lett. 45, 963 (1980).ADSGoogle Scholar
  153. [109]
    H. A. Bethe, Proc. Cam. Phil. Soc. 31, 108 (1935).MATHGoogle Scholar
  154. [110]
    C. L. Cowan, Jr. and F. Reines, Phys. Rev. 107, 528 (1957).MathSciNetADSGoogle Scholar
  155. [Ill]
    A. V. Kyuldjiev, Nucl. Phys. B243, 387 (1984).ADSGoogle Scholar
  156. [112]
    F. Reines, H. S. Gurr and H. W. Sobel, Phys. Rev. Lett. 37, 315 (1976).ADSGoogle Scholar
  157. [113]
    W. J. Marciano, cited in Particle Data Group, Phys. Lett. B239, 1 (1990).Google Scholar
  158. [114]
    P. Vogel and J. Engel, Phys. Rev. D39, 3378 (1989).ADSGoogle Scholar
  159. [115]
    D. A. Krakauer et al., Phys. Lett. B252, 177 (1990).ADSGoogle Scholar
  160. [116]
    L. A. Ahrens et al., Phys. Rev. D41, 3297 (1990).ADSGoogle Scholar
  161. [117]
    J. Dorenbosch et al, Z. Phys. C41, 567 (1989).Google Scholar
  162. [118]
    H. Grotch and R. W. Robinett, Z. Phys. C39, 553 (1988).ADSGoogle Scholar
  163. [119]
    G. Beaudet, V. Petrosian and E. E. Salpeter, Astrophys. J. 150, 979 (1967);ADSGoogle Scholar
  164. [119a]
    see also J. B. Adams, M. A. Ruderman and C.-H. Woo, Phys. Rev. 129, 1383 (1963);ADSGoogle Scholar
  165. [119b]
    V. N. Tsytovich, Zh. Eksp. Teor. Fiz. 45, 1183 (1964) [Sov. Phys. JETP 18, 816 (1964)].Google Scholar
  166. [120]
    G. V. Domogatskii and D. K. Nadezhin, Yad. Fiz. 12, 1233 (1970); [Sov. J. Nucl. Phys. 12, 678 (1971)].Google Scholar
  167. [121]
    P. Sutherland et al., Phys. Rev. D13, 2700 (1976).ADSGoogle Scholar
  168. [122]
    M. A. B. Bég, W. J. Marciano and M. Ruderman, Phys. Rev. D17, 1395 (1978).ADSGoogle Scholar
  169. [123]
    M. Fukugita and S. Yazaki, Phys. Rev. D36, 3817 (1987).ADSGoogle Scholar
  170. [124]
    S. I. Blinnikov, Moscow preprint ITEP-SS-19 (1988).Google Scholar
  171. [125]
    G. G. Raffelt, Phys. Rev. Lett. 64, 2856 (1990).ADSGoogle Scholar
  172. [126]
    J. M. Lattimer and J. Cooperstein, Phys. Rev. Lett. 61, 23 (1988);ADSGoogle Scholar
  173. [126a]
    R. Barbi-eri and R. N. Mohapatra, Phys. Rev. Lett. 61, 27 (1988);ADSGoogle Scholar
  174. [126b]
    D. Nötzold, Phys. Rev. D38, 1658 (1988).ADSGoogle Scholar
  175. [127]
    M. Fukugita, N. Iwamoto, L. Qin and S. Tsuruta, Toledo preprint (1993).Google Scholar
  176. [128]
    W. A. Bardeen, R. Gastmans and B. Lautrup, Nucl. Phys. B46, 319 (1972);ADSGoogle Scholar
  177. [126a]
    A. D. Dolgov and Ya. B. Zeldovich, Ref.[43]; G. Auriemma, Y. Srivastava and A. Widom, Phys. Lett. B195, 254 (1987);Google Scholar
  178. [126b]
    J. L. Lucio, A. Rosado and A. Zepeda, Phys. Rev. D31, 1091 (1985);ADSGoogle Scholar
  179. [126c]
    for early discussion of form factors see J. Bernstein and T. D. Lee, Phys. Rev. Lett. 11, 512 (1963).Google Scholar
  180. [129]
    G. Degrassi, A. Sirlin and W. J. Marciano, Phys. Rev. D39, 287 (1989).ADSGoogle Scholar
  181. [130]
    M. Fukugita and K. Kubodera, Z. Phys. C9, 365 (1981).ADSGoogle Scholar
  182. [131]
    J. Law, Phys. Lett. 102B, 371 (1981).ADSGoogle Scholar
  183. [132]
    O. Fackler et al., Phys. Rev. Lett. 55, 1388 (1985).ADSGoogle Scholar
  184. [133]
    R. L. Martin and J. S. Cohen, Phys. Lett. 110A, 95 (1985).ADSGoogle Scholar
  185. [134]
    H. Ågren and V. Carravetta, Phys. Rev. A38, 2707 (1988).ADSGoogle Scholar
  186. [135]
    I. G. Kaplan, V. N. Smutny and G. V. Smelov, Phys. Lett. 112B, 417 (1982);ADSGoogle Scholar
  187. [135a]
    I. G. Kaplan, V. N. Smutny and G. V. Smelov, Phys. Lett. 161B, 389 (1985);ADSGoogle Scholar
  188. [135b]
    I. G. Kaplan, V. N. Smutny and G. V. Smelov, Zh. Eksp. Teor. Fiz. 84, 833 (1983) [Sov. Phys. JETP 57, 483 (1983)];Google Scholar
  189. [126b]
    I. Kaplan et al., Dokl. Akad. Nauk. SSSR 279, 1110 (1984) [Sov. Phys. Doklady 29, 1023 (1984)].Google Scholar
  190. [136]
    J. Arafune and T. Watanabe, Phys. Rev. C34, 336 (1986);ADSGoogle Scholar
  191. [136a]
    J. Arafune, N. Koga, K. Morokuma and T. Watanabe, J. Phys. Soc. Japan 55, 3806; 3813 (1986).ADSGoogle Scholar
  192. [137]
    S. Boris et al., Phys. Lett. 159B, 217 (1985);ADSGoogle Scholar
  193. [137a]
    S. Boris et al., Phys. Rev. Lett. 58, 2019 (1987).ADSGoogle Scholar
  194. [138]
    M. Fritschi et al., Phys. Lett. B173, 485 (1986).ADSGoogle Scholar
  195. [139]
    H. Kawakami et al., Phys. Lett. B187, 198 (1987).ADSGoogle Scholar
  196. [140]
    J. F. Wilkerson et al., Phys. Rev. Lett. 58, 2023 (1987).ADSGoogle Scholar
  197. [141]
    E. Holzschuh, M. Fritschi and W. Kündig, Phys. Lett. B287, 381 (1992).ADSGoogle Scholar
  198. [142]
    H. Kawakami et al, Phys. Lett. B256, 105 (1991).ADSGoogle Scholar
  199. [143]
    R. G. H. Robertson et al., Phys. Rev. Lett. 67, 957 (1991).ADSGoogle Scholar
  200. [144]
    H. Backe et al., in Proc. Neutrino 92, Granada, 1992, ed. by A. Morales, Nucl. Phys. B (Proc. Suppl.) 31, 46 (1993).Google Scholar
  201. [145]
    IBEC was first studied by E.G.C. Stueckelberg [Nature 137, 1070 (1936);Google Scholar
  202. [145a]
    IBEC: Helv. Phys. Acta. 9, 533 (1936)]Google Scholar
  203. [145b]
    IBEC: C. Moller [Phys. Zeits d. Sowjetunion, 11, 9 (1937)]. The process was first observed by H. Bradt et al. [Helv. Phys. Acta 19, 222 (1946)]. The theory was further developed by R. J. Glauber and P. C. Martin, Phys. Rev. 104, 158 (1956);Google Scholar
  204. [145c]
    P. C. Martin and R. J. Glauber 109, 1307 (1958), A. de Rújula (Ref.[146]) and others. For a review, see W. Bambynek et al., Rev. Mod. Phys. 49, 77 (1977).Google Scholar
  205. [146]
    A. de Rújula, Nucl. Phys. B188, 414 (1981);ADSGoogle Scholar
  206. [146a]
    A. de Rûjula and M. Lusignoli, Nucl. Phys. B219, 277 (1983).ADSGoogle Scholar
  207. [147]
    J. U. Andersen et al, Phys. Lett. 113B, 72 (1982).ADSGoogle Scholar
  208. [148]
    S. Yasumi et al., Phys. Lett. B181, 169 (1986).ADSGoogle Scholar
  209. [149]
    P. T. Springer, C. L. Bennett and P. A. Baisden, Phys. Rev. A35, 679 (1987).ADSGoogle Scholar
  210. [150]
    C. L. Bennett et al., Phys. Lett. 107B, 19 (1981).ADSGoogle Scholar
  211. [151]
    R. Abela et al., Phys. Lett. 146B, 431 (1984).Google Scholar
  212. [152]
    B. Jeckelmann et al., Phys. Rev. Lett. 56, 1444 (1986).ADSGoogle Scholar
  213. [153]
    M. Daum et al, Phys. Lett. B265, 425 (1991).Google Scholar
  214. [154]
    H. B. Anderhub et al., Phys. Lett. 114B, 76 (1982).Google Scholar
  215. [155]
    H. Albrecht et al., Phys. Lett., B202, 149 (1988).ADSGoogle Scholar
  216. [156]
    D. Cinabro et al, Phys. Rev. Lett. 70, 3700 (1993).ADSGoogle Scholar
  217. [157]
    A partial list for this work is: J. Arafune and M. Fukugita, Phys. Rev. Lett. 59, 367 (1987);ADSGoogle Scholar
  218. [157a]
    K. Sato and II. Suzuki, Phys. Rev. Lett. 58, 2722 (1987);ADSGoogle Scholar
  219. [157b]
    J. N. Bahcall and S. L. Glashow, Nature (London) 326, 476 (1987);ADSGoogle Scholar
  220. [157c]
    W. D. Arnett and J. L. Rosner, Phys. Rev. Lett. 58, 1906 (1987);ADSGoogle Scholar
  221. [157d]
    E. W. Kolb, A. J. Stebbins and M. S. Turner, Phys. Rev. D35, 3598 (1987);ADSGoogle Scholar
  222. [157e]
    A. Burrows and J. M. Lattimer, Astrophys. J. Lett. 318, L63 (1987);ADSGoogle Scholar
  223. [157f]
    K. Hikasa, M. Kobayashi and M. Yoshimura, Prog. Theor. Phys. (Lett.) 78, 180 (1987);ADSGoogle Scholar
  224. [157g]
    S. H. Kahana, J. Cooperstein and E. Baron, Phys. Lett. B196, 259 (1987).Google Scholar
  225. [158]
    E. Ma and J. Okada, Phys. Rev. Lett. 41, 287 (1978).ADSGoogle Scholar
  226. [159]
    M. Z. Akrawy et al., Z. Phys. C 50, 373 (1991).Google Scholar
  227. [160]
    V. F. Shvartsman, Zh. Eksp. Teor. Fiz. Pisma 9, 315 (1969) [JETP Lett. 9, 184 (1969)]. The dependence of the helium abundance on the number of neutrino species was originally noted by Hoyle and Tayler [F. Hoyle and R. J. Tayler, Nature 203, 1108 (1964)].Google Scholar
  228. [160a]
    See also, P. J. E. Peebles, Astrophys. J. 146, 542 (1966),ADSGoogle Scholar
  229. [160b]
    R. V. Wagoner, W. A. Fowler and F. Hoyle, Astrophys. J. 148, 3 (1967)ADSGoogle Scholar
  230. [160c]
    H. Sato, Prog. Theor. Phys. 38, 1083 (1967) for pioneering attempts for light element nucleosynthesis.ADSGoogle Scholar
  231. [161]
    G. Steigman, D. N. Schramm and J. E. Gunn, Phys. Lett. 66B, 202 (1977).Google Scholar
  232. [162]
    T. P. Walker et al., Astrophys. J. 376, 51 (1991).ADSGoogle Scholar
  233. [163]
    M. Green and M. Veltman, Nucl. Phys. B169, 137 (1980).MathSciNetADSGoogle Scholar
  234. [164]
    K.-I. Aoki et al., Prog. Theor. Phys. 65, 1001 (1981);ADSGoogle Scholar
  235. [164a]
    K.-I. Aoki and Z. Hioki, Prog. Theor. Phys. 66, 2234 (1981).ADSGoogle Scholar
  236. [165]
    S. Sarantakos, A. Sirlin and W. J. Marciano, Nucl. Phys. B217, 84 (1983).ADSGoogle Scholar
  237. [166]
    W. J. Marciano and A. Sirlin, Phys. Rev. D22, 2695 (1980).ADSGoogle Scholar
  238. [167]
    P. Vilain et al., Phys. Lett. B281, 159 (1992);Google Scholar
  239. [167a]
    D. Geiregat et al, Phys. Lett. B259, 499 (1991).Google Scholar
  240. [168]
    N. Cabibbo and R. Gatto, Nuovo Cim. Serie X, 15, 304 (1960);Google Scholar
  241. [168a]
    Y. Yamaguchi, Prog. Theor. Phys. 23, 1117 (1960);ADSGoogle Scholar
  242. [168b]
    [M. Igarashi and S. Nakamura, Prog. Theor. Phys. 40, 576 (1968).ADSGoogle Scholar
  243. [169]
    R. P. Feynman, Photon-Hadron Interactions (W. A. Benjamin, Reading, U. S. A., 1972).Google Scholar
  244. [170]
    T. W. Donnelly, Phys. Lett. 43B, 93 (1973).Google Scholar
  245. [171]
    J. N. Bahcall and S. C. Frautschi, Phys. Rev. 136, B1547 (1964);ADSGoogle Scholar
  246. [171a]
    N. Itoh and Y. Kohyama, Nucl. Phys. A306, 527 (1978).Google Scholar
  247. [172]
    J. N. Bahcall and C. A. Barnes, Phys. Lett. 12, 48 (1964).ADSGoogle Scholar
  248. [173]
    J. C. Hardy and R. I. Verrall, Phys. Rev. Lett. 13, 764 (1964);ADSGoogle Scholar
  249. [173a]
    P. L. Reeder, A. M. Poskanzer and R. A. Esterlund, Phys. Rev. Lett. 13, 767 (1964).ADSGoogle Scholar
  250. [174]
    R. G. Sextro, R. A. Gough and J. Cerny, Nucl. Phys. A234, 130 (1974);Google Scholar
  251. [174a]
    the most modern data are given by A. Garcia et al., Phys. Rev. Lett. 67, 3654 (1991).ADSGoogle Scholar
  252. [175]
    M. Fukugita, T. Kuramoto and K. Shimizu, to be published.Google Scholar
  253. [176]
    S. Cohen and D. Kurath, Nucl. Phys. 73, 1 (1965).Google Scholar
  254. [177]
    For a review, A. Arima, K. Shimizu, W. Bentz and H. Hyuga, Adv. Nucl. Phys. 18, 1 (1987).Google Scholar
  255. [178]
    B. H. Wildenthal, Prog. Part. Nucl. Phys. 11, 5 (1984);ADSGoogle Scholar
  256. [178a]
    B. A. Brown and B. H. Wildenthal, . At. Data and Nucl Data. Tables 33, 347 (1985).ADSGoogle Scholar
  257. [179]
    C. D. Goodman et al., Phys. Rev. Lett. 44, 1755 (1980);ADSGoogle Scholar
  258. [179a]
    F. Petrovich, W. G. Love and R. J. McCarthy, Phys. Rev. C21, 1718 (1980);ADSGoogle Scholar
  259. [179b]
    T. N. Taddeucci et al., Phys. Rev. C25, 1094 (1982);ADSGoogle Scholar
  260. [179c]
    J. Rapaport et al, Phys. Rev. Lett. 47, 1518 (1981);ADSGoogle Scholar
  261. [179d]
    J. Rapaport et al, Nucl. Phys. A410, 371 (1983);Google Scholar
  262. [179e]
    D. Krofcheck et al., Phys. Rev. Lett., 55, 1051 (1985).ADSGoogle Scholar
  263. [180]
    T. N. Taddeucci et al., Nucl. Phys. A469, 125 (1987).Google Scholar
  264. [181]
    B. Pontecorvo, Chalk River report PD-205 (1946); L. W. Alvarez, University of California Radiation Laboratory report UCRL-328 (1949); R. Davis, Jr., Ref.[215].ADSGoogle Scholar
  265. [182]
    V. A. Kuzmin, Zh. Eksp. Theor. Fiz. 49, 1532 (1965) [Sov. Phys. JETP 22, 1051 (1966)].Google Scholar
  266. [183]
    A. J. Baltz, J. Weneser, B. A. Brown and J. Rapaport, Phys. Rev. Lett. 53, 2078 (1984);ADSGoogle Scholar
  267. [183a]
    D. Krof check et al. Ref. [179];Google Scholar
  268. [183b]
    G. J. Mathews et al. S. D. Bloom, G. M. Fuller and J. N. Bahcall, Phys. Rev. C32, 796 (1985);ADSGoogle Scholar
  269. [183c]
    K. Grotz et al., Astron. Astrophys. 154, Ll (1986); for the ground-to-ground transition,Google Scholar
  270. [183d]
    W. Hampel and L. P. Remsberg, Phys. Rev. C31, 666 (1985).ADSGoogle Scholar
  271. [184]
    J. N. Bahcall, Rev. Mod. Phys. 50, 881 (1978); see also Ref.[39].ADSGoogle Scholar
  272. [185]
    S. S. Gershtein, N. van Hieu and R. A. Eramzhyan, Zh. Eksp. Teor. Fiz. 43, 1554 (1962) [Sov. Phys. JETP 16, 1097 (1963)].Google Scholar
  273. [186]
    H. C. Lee., Nucl. Phys. A294, 473 (1978).Google Scholar
  274. [187]
    J. Bernabéu and P. Pascual, Nucl. Phys. A324, (1979).Google Scholar
  275. [188]
    T. W. Donnelly and R. D. Peccei, Phys. Rep. 50, 1 (1979).ADSGoogle Scholar
  276. [189]
    R. S. Raghavan, S. Pakvasa and B. A. Brown, Phys. Rev. Lett., 57, 1801 (1986);ADSGoogle Scholar
  277. [189a]
    R. S. Raghavan and S. Pakvasa, Phys. Rev. D37, 849 (1988).MathSciNetADSGoogle Scholar
  278. [190]
    M. Fukugita, Y. Kohyama and K. Kubodera, Phys. Lett. B212, 139 (1988).Google Scholar
  279. [191]
    M. Pourkaviani and S. L. Minz, J. Phys. G 16, 569 (1990).ADSGoogle Scholar
  280. [192]
    M. Aglietta et al., Astroparticle Phys. 1, 1 (1992).ADSGoogle Scholar
  281. [193]
    J. Arafune, M. Fukugita, Y. Kohyama and K. Kubodera, Phys. Lett. B217, 186 (1989)Google Scholar
  282. [194]
    F. J. Kelly and H. Überall, Phys. Rev. Lett. 16, 145 (1966).ADSGoogle Scholar
  283. [195]
    S. D. Ellis and J. N. Bahcall, Nucl. Phys. A114, 636 (1968).Google Scholar
  284. [196]
    A. Ali and C. A. Domingnez, Phys. Rev. D12, 3673 (1975)ADSGoogle Scholar
  285. [197]
    S. Nozawa, Y. Kohyama, T. Kanata and K. Kubodera, J. Phys. Soc. Japan, 55, 263 (1986);Google Scholar
  286. [197a]
    J. N. Bahcall, K. Kubodera and S. Nozawa, Phys. Rev. D38, 1030 (1988).ADSGoogle Scholar
  287. [198]
    W. C. Haxton, Phys. Rev. D36, 2283 (1987).ADSGoogle Scholar
  288. [199]
    J. B. Langworthy, B. A. Lamers and H. Überall, Nucl. Phys. A280, 351 (1977).Google Scholar
  289. [200]
    E. V. Bugaev, G. S. Bisnovatyi-Kogan, M. A. Rudzsky and Z. F. Seidov, Nucl. Phys. A324, 350 (1979).Google Scholar
  290. [201]
    T. K. Gaisser and J. S. O’Connell, Phys. Rev. D34, 822 (1986).ADSGoogle Scholar
  291. [202]
    T. Kuramoto, M. Fukugita, Y. Kohyama and K. Kubodera, Nucl. Phys. A512, 711 (1990).Google Scholar
  292. [203]
    J. Engel, E. Kolbe, K. Langanke and P. Vogel, preprint BA-93–20 (1993).Google Scholar
  293. [204]
    T. W. Donnelly and W. C. Haxton, Nucl. Phys. A287, 506 (1977).Google Scholar
  294. [205]
    R. C. Allen et al, Phys. Rev. Lett. 64, 1871 (1990);ADSGoogle Scholar
  295. [205a]
    D. A. Krakauer et al. Phys. Rev. C45, 2450 (1992).ADSGoogle Scholar
  296. [206]
    B. Bodmann et al., Phys. Lett. B267, 321 (1991);Google Scholar
  297. [206a]
    B. Bodmann et al., in Neutrino92, Granada, 1992, ed. by A. Morales, Nucl. Phys. B (Proc. Suppl.) 31, 301 (1993).Google Scholar
  298. [207]
    B. Bodmann et al, Phys. Lett. B280, 198 (1992).Google Scholar
  299. [208]
    S. L. Minz and M. Pourkaviani, Phys. Rev. C40, 2458 (1989).ADSGoogle Scholar
  300. [209]
    D. Z. Freedman, Phys. Rev. D9, 1389 (1974);ADSGoogle Scholar
  301. [209a]
    H. A. Bethe, in Proc. International School of Physics, Enrico Fermi Course 91, Varenna 1984 (North Holland, Amsterdam, 1986), for a review of the stellar collapse theory.Google Scholar
  302. [210]
    A. Drukier and L. Stodolsky, Phys. Rev. D30, 2295 (1984).ADSGoogle Scholar
  303. [211]
    M. W. Goodman and E. Witten, Phys. Rev. D31, 3059 (1985).ADSGoogle Scholar
  304. [212]
    M. Fukugita, D. Nötzold, G. Raffelt and J. Silk, Phys. Rev. Lett. 60, 879 (1988);ADSGoogle Scholar
  305. [212a]
    D. Nötzold and G. Raffelt, Nucl. Phys. B307, 924 (1988).ADSGoogle Scholar
  306. [213]
    F. J. Botella, C. S. Lim and W. J. Marciano, Phys. Rev. D35, 896 (1987).ADSGoogle Scholar
  307. [214]
    K. Enqvist, K. Kainulainen and J. Maalampi, Nucl. Phys. B349, 754 (1991).ADSGoogle Scholar
  308. [215]
    R. Davis, Jr., Phys. Rev. 97, 766 (1955)ADSGoogle Scholar
  309. [216]
    T. Yanagida, in Proc. of the Workshop on the Unified Theory and Baryon Number in the Universe, ed. by O. Sawada and A. Sugamoto (KEK report 79–18, 1979), p.95;Google Scholar
  310. [216a]
    M. Gell-Mann, P. Ramond and R. Slansky, in Super-gravity, ed. by P. van Nieuwenhuizen and D. Z. Freedman (North Holland, Amsterdam, 1979), p.315.Google Scholar
  311. [230]
    M. Fukugita and T. Yanagida [217] J. A. McLennan, Jr., Phys. Rev. 106, 821 (1957).MathSciNetADSMATHGoogle Scholar
  312. [218]
    Ya. B. Zeldovich, Dokl. Akad. Nauk. SSSR 86, 505 (1952);Google Scholar
  313. [218a]
    E. J. Konopinski and H. M. Mahmoud, Phys. Rev. 92, 1045 (1953).ADSMATHGoogle Scholar
  314. [219]
    L. Wolfenstein, Phys. Lett. 107B, 77 (1981).Google Scholar
  315. [220]
    G. B. Gelmini and M. Roncadelli, Phys. Lett. 99B, 411 (1981).Google Scholar
  316. [221]
    H. M. Georgi, S. L. Glashow and S. Nussinov, Nucl. Phys. B193, 297 (1981).ADSGoogle Scholar
  317. [222]
    K. Choi, C. W. Kim, W. P. Lam and A. Santamaria, Carnegie-Melon preprint CMU-HEP 89–22 (1989).Google Scholar
  318. [223]
    K. M. Case, Phys. Rev. 107, 307 (1957);MathSciNetADSMATHGoogle Scholar
  319. [223a]
    see also P. D. Mannhein, Int. J. Theor. Phys. 23, 643 (1984).Google Scholar
  320. [224]
    B. Touschek, Z. Phys. 125, 108 (1949).MathSciNetADSGoogle Scholar
  321. [225]
    J. Serpe, Physica 18, 295 (1952).ADSMATHGoogle Scholar
  322. [226]
    W. Pauli, Nuovo Cim. Serie X, 6, 204 (1957).MathSciNetMATHGoogle Scholar
  323. [227]
    F. Gürsey, Nuovo Cim. Serie X, 7, 411 (1958).MATHGoogle Scholar
  324. [228]
    L. A. Radicati and B. Touschek, Nuovo Cim. 5, 1693 (1957).MATHGoogle Scholar
  325. [229]
    C. Ryan and S. Okubo, Nuovo. Cim. Suppl. 2, 234 (1964).MathSciNetGoogle Scholar
  326. [230]
    H. Jehle, Phys. Rev. 75, 1609(L) (1949).MathSciNetADSMATHGoogle Scholar
  327. [231]
    M. Fukugita and T. Yanagida, unpublished note (1991).Google Scholar
  328. [232]
    H. Goldberg, Phys. Rev. Lett. 50, 1419 (1983).ADSGoogle Scholar
  329. [233]
    e.g., H. Primakoff and S. P. Rosen, Rep. Prog. Phys. 22, 121 (1959);ADSGoogle Scholar
  330. [233a]
    H. Primakoff and S. P. Rosen, Ann. Rev. Nucl. Part. Sci. 31, 145 (1981).ADSGoogle Scholar
  331. [234]
    M. Doi, T. Kotani, H. Nishiura, K. Okuda and E. Takasugi, Phys. Lett. 103B, 219 (1981).Google Scholar
  332. [235]
    W. C. Haxton and G. J. Stephenson, Jr., Prog. Part. Nucl. Phys. 12, 409 (1984).ADSGoogle Scholar
  333. [236]
    M. Doi, T. Kotani and E. Takasugi, Prog. Theor. Phys. Suppl. 83, 1 (1985).ADSGoogle Scholar
  334. [237]
    J. D. Vergados, Phys. Rep. C133, 1 (1986).ADSGoogle Scholar
  335. [238]
    D. O. Caldwell, in Proc. of the XXIII International Conference on High Energy Physics, Berkeley, 1986, ed. by S. C. Loken (World Scientific, Singapore, 1987) vol. II, p.951.Google Scholar
  336. [239]
    A. Molina and P. Pascual, Nuovo. Cim. 41A, 756 (1977).ADSGoogle Scholar
  337. [240]
    J. D. Vergados, Phys. Rev. C24, 640 (1981).ADSGoogle Scholar
  338. [241]
    W. C. Haxton, G. J. Stephenson, Jr. and D. Strottman, Phys. Rev. D25, 2360 (1982);ADSGoogle Scholar
  339. [241a]
    M. Doi, T. Kotani, H. Nishiura and E. Takasugi, Prog. Theor. Phys. 70 1353 (1984); Relativistic corrections to beta decay is given in, H. Behrens and J. Jännecke, Numerical Tables for Beta-Decay and Electron Capture (J. Springer, Berlin, 1969).ADSGoogle Scholar
  340. [242]
    L. Zhao, B. A. Brown and W. A. Richter, Phys. Rev. C42, 1120 (1990).ADSGoogle Scholar
  341. [243]
    J. A. Halbleib and R. A. Sorensen, Nucl. Phys. A98, 542 (1967).Google Scholar
  342. [244]
    A. H. Huffman, Phys. Rev. C2, 742 (1970).ADSGoogle Scholar
  343. [245]
    P. Vogel and P. Fisher, Phys. Rev. C32, 1362 (1985).ADSGoogle Scholar
  344. [246]
    K. Grotz and H. V. Klapdor, Phys. Lett. 153B, 1 (1985);Google Scholar
  345. [246a]
    K. Grotz and H. V. Klapdor, Phys. Lett. 157B, 242 (1985);Google Scholar
  346. [246b]
    K. Grotz and H. V. Klapdor, Nucl. Phys. A460, 395 (1986).Google Scholar
  347. [247]
    T. Tomoda, A. Faessler, K. W. Schmid and F. Grümmer, Nucl. Phys. A452, 591 (1986).Google Scholar
  348. [248]
    P. Vogel and M. R. Zirnbauer, Phys. Rev. Lett. 57, 3148 (1986).ADSGoogle Scholar
  349. [249]
    J. Engel, P. Vogel and M. R. Zirnbauer, Phys. Rev. C37, 731 (1988).ADSGoogle Scholar
  350. [250]
    O. Civitarese, A. Faessler and T. Tomoda, Phys. Lett. B194, 11 (1987),Google Scholar
  351. [250a]
    T. Tomoda and A. Faessler, Phys. Lett. 199B, 475 (1987).Google Scholar
  352. [251]
    J. Engel, P. Vogel, X. Ji and S. Pittel, Phys. Lett. 225B, 5 (1989).Google Scholar
  353. [252]
    For earlier attempts, E. L. Fireman, Phys. Rev. 74, 1238(A) (1948);Google Scholar
  354. [252a]
    E. L. Fireman, Phys. Rev. 75, 323(L) (1949);ADSGoogle Scholar
  355. [252b]
    J. S. Lawson, Phys. Rev. 81, 299(A) (1951);Google Scholar
  356. [252c]
    M. I. Kalkstein and W. F. Libby, Phys. Rev. 85, 368(L) (1952).ADSGoogle Scholar
  357. [253]
    M. G. Inghram and J. H. Reynolds, Phys. Rev. 76, 1265(L) (1949);ADSGoogle Scholar
  358. [253a]
    M. G. Inghram and J. H. Reynolds, Phys. Rev. 78, 822(L) (1950).ADSGoogle Scholar
  359. [254]
    N. Takaoka and K. Ogata, Z. Naturforsch. 21a, 84 (1966).ADSGoogle Scholar
  360. [255]
    T. Kirsten, W. Centner and O. Müller, Z. Naturforsch. 22a, 1783 (1967);ADSGoogle Scholar
  361. [255a]
    T. Kirsten, W. Gentner and O. A. Schaeffer, Z. Phys. 202, 273 (1967).ADSGoogle Scholar
  362. [256]
    R. K. Bardin, P. J. Gollon, J. D. Ullman and C. S. Wu, Nucl. Phys. A158, 337 (1970).Google Scholar
  363. [257]
    E. Bellotti et al., Nuovo Cim. 95A, 1 (1986);ADSGoogle Scholar
  364. [257a]
    E. Fiorini et al., Phys. Lett. B25, 602 (1967) used a 76Ge detector at the first time.Google Scholar
  365. [258]
    F. T. Avignone III, H. S. Miley, R. L. Brudzinski and J. H. Reeves, Phys. Rev. D35, 1713 (1987).ADSGoogle Scholar
  366. [259]
    D. O. Caldwell et al., Phys. Rev. Lett. 59, 419 (1987);ADSGoogle Scholar
  367. [259a]
    D. O. Caldwell et al., ibid 54, 281 (1985).ADSGoogle Scholar
  368. [260]
    J. J. Simpson et al., Phys. Rev. Lett. 53, 141 (1984).ADSGoogle Scholar
  369. [261]
    H. Ejiri et al., Nucl. Phys. A448, 271 (1986).ADSGoogle Scholar
  370. [262]
    H. V. Klapdor-Kleingrothaus, in Neutrino92, Granada, 1992, ed. by A. Morales, Nucl. Phys. B (Proc. Suppl.) 31, 72 (1993);Google Scholar
  371. [262a]
    A. Balysh et al., Phys. Lett. B283, 32 (1992).Google Scholar
  372. [263]
    H. S. Miley et al., Phys. Rev. Lett. 65, 3092 (1990).ADSGoogle Scholar
  373. [264]
    S. R. Elliott, A. A. Hahn and M. K. Moe, Phys. Rev. Lett. 59, 2020 (1987);ADSGoogle Scholar
  374. [264a]
    S. R. Elliott, A. A. Hahn and M. K. Moe, S. R. Elliott et al. Phys. Rev. C46, 1535 (1992).ADSGoogle Scholar
  375. [265]
    T. Kirsten et al., in Nuclear Beta Decays and Neutrino, Osaka, 1986, ed. by T. Kotani, H. Ejiri and E. Takasugi (World Scientific, Singapore, 1986) p.81;Google Scholar
  376. [265a]
    T. Kirsten, H. Richter and E. K. Jessberger, Phys. Rev. Lett. 50, 474 (1983);ADSGoogle Scholar
  377. [265b]
    T. Kirsten, H. Richter and E. K. Jessberger, Z. Phys. C16, 189 (1983).Google Scholar
  378. [266]
    O. Manuel, in Nuclear Beta Decays and Neutrino, Osaka, 1986, ed. by T. Kotani, H. Ejiri and E. Takasugi (World Scientific, Singapore, 1986) p.71;Google Scholar
  379. [266a]
    E. W. Hennecke, O. K. Manuel and D. D. Sabu, Phys. Rev. C11, 1378 (1975).ADSGoogle Scholar
  380. [267]
    K. Marti and S. V. S. Murty, Phys. Lett. 163B, 71 (1985).Google Scholar
  381. [268]
    S. R. Elliott, A. A. Hahn and M. K. Moe, in Weak and Electromagnetic Interactions in Nuclei, Heidelberg, 1986, ed. by H. V. Klapdor (Springer Verlag, Berlin, 1987) p.692.Google Scholar
  382. [269]
    M. Alston-Garnjost et al., Phys. Rev. Lett. 63, 1671 (1989).ADSGoogle Scholar
  383. [270]
    H. Ejiri et al, Phys. Lett. B258, 17 (1991).Google Scholar
  384. [271]
    S. R. Elliott et al., J. Phys. G17, S145 (1991).ADSGoogle Scholar
  385. [272]
    A. S. Barabash et al., Phys. Lett. B223, 273 (1989).Google Scholar
  386. [273]
    E. J. Konopinski, The Theory of Beta Radioactivity (Clarendon Press, Oxford, 1966).Google Scholar
  387. [274]
    K. Muto and H. V. Klapdor, Phys. Lett. B201, 420 (1988);Google Scholar
  388. [274a]
    K. Muto, E. Bender and H. V. Klapdor, Z. Phys. A334, 177; 187 (1989).ADSGoogle Scholar
  389. [275]
    B. Pontecorvo, Phys. Lett. 26B, 630 (1968).Google Scholar
  390. [276]
    A. Halprin, S. T. Petcov and S. P. Rosen, Phys. Lett. 125B, 335 (1983).Google Scholar
  391. [277]
    H. Primakoff and S. P. Rosen, Phys. Rev. 184, 1925 (1969).ADSGoogle Scholar
  392. [278]
    C. P. Enz, Nuovo Cim. 6, 250 (1957).MATHGoogle Scholar
  393. [279]
    R. N. Mohapatra and G. Senjanovic, Phys. Rev. D23, 165 (1981).ADSGoogle Scholar
  394. [280]
    M. Doi, T. Kotani, H. Nishiura and E. Takasugi, Prog. Theor. Phys. 69, 602 (1983).ADSGoogle Scholar
  395. [281]
    R. N. Mohapatra, Phys. Rev. D34, 909 (1986).ADSGoogle Scholar
  396. [282]
    G. K. Leontaris, K. Tamvakis and J. D. Vergados, Phys. Lett. 171B, 412 (1986);Google Scholar
  397. [282a]
    J. D. Vergados, Phys. Lett. B184, 55 (1987);Google Scholar
  398. [282b]
    R. N. Mohapatra, Phys. Rev. D34, 3457 (1986).ADSGoogle Scholar
  399. [283]
    T. P. Cheng and L. F. Li, Phys. Rev. Lett. 38, 381 (1977);ADSGoogle Scholar
  400. [283a]
    T. P. Cheng and L. F. Li, Phys. Rev. D16, 1425 (1977);ADSGoogle Scholar
  401. [283b]
    B. W. Lee, S. Pakvasa, R. E. Shrock and H. Sugawara, Phys. Rev. Lett. 38, 937 (1977);ADSGoogle Scholar
  402. [283c]
    H. Terazawa, Prog. Theor. Phys. 57, 1808 (1977);ADSGoogle Scholar
  403. [283d]
    B. W. Lee and R. E. Shrock, Phys Rev. D16, 1444 (1977);ADSGoogle Scholar
  404. [283e]
    J. D. Bjorken, K. Lane and S. Weinberg, Phys. Rev. D16, 1474 (1977);ADSGoogle Scholar
  405. [283f]
    S. T. Petcov, Yad. Phys. 25, 641 (1977)* [Sov. J. Nucl. Phys. 25, 340 (1977)]. (* presents also a calculation of μeee)Google Scholar
  406. [284]
    C. N. Yang and J. Tiomno, Phys. Rev. 79, 495 (1950).MathSciNetADSMATHGoogle Scholar
  407. [285]
    P. B. Pal and L. Wolfenstein, Phys. Rev. D25, 766 (1982).ADSGoogle Scholar
  408. [286]
    J. Schechter and J. W. F. Valle, Phys. Rev. D22, 2227 (1980).ADSGoogle Scholar
  409. [287]
    S. M. Bilenky, J. Hosek and S. T. Petcov, Phys. Lett. 94B, 495 (1980),Google Scholar
  410. [287a]
    M. Doi et al, Phys. Lett. 102B, 323 (1981).Google Scholar
  411. [288]
    J. Schechter and J. W. F. Valle, Phys. Rev. D23, 1666 (1981).ADSGoogle Scholar
  412. [289]
    V. Gribov and B. Pontecorvo, Phys. Lett. 28B, 493 (1969).Google Scholar
  413. [290]
    S. Eliezer and D. A. Ross, Phys. Rev.D10, 3088 (1974);ADSGoogle Scholar
  414. [290a]
    S. Eliezer, A. R. Swift, Nucl. Phys. B105, 45 (1976).ADSGoogle Scholar
  415. [291]
    Earlier studies include: J. N. Bahcall and S. Frautschi, Phys. Lett. 29B, 623 (1969);Google Scholar
  416. [291a]
    S. M. Bilenky and B. Pontecorvo, Phys. Lett. 61B, 248 (1976);Google Scholar
  417. [291b]
    H. Fritzsch, P. Minkowski, Phys. Lett. 62B, 72 (1976);Google Scholar
  418. [291c]
    A. K. Mann and H. Primakoff, Phys. Rev. D15, 655 (1977); for a review,ADSGoogle Scholar
  419. [291d]
    S. M. Bilenky and B. Pontecorvo, Phys. Rep. 41C, 225 (1978).ADSGoogle Scholar
  420. [292]
    S. Nussinov, Phys. Lett. 63B, 201 (1976).Google Scholar
  421. [293]
    B. Kayser, Phys. Rev. D24, 110 (1981).ADSGoogle Scholar
  422. [294]
    C. Giunti, C. W. Kim and U. W. Lee, Phys. Rev. D44, 3635 (1991).ADSGoogle Scholar
  423. [295]
    R. G. Winter, Lett. Nuovo Cim. 30, 101 (1981).Google Scholar
  424. [296]
    A. Loeb, Phys. Rev. D39, 1009 (1989).ADSGoogle Scholar
  425. [297]
    H. Anada and H. Nishimura, Phys. Rev. D37, 552 (1988).ADSGoogle Scholar
  426. [298]
    L. Borodovsky et al, Phys. Rev. Lett. 68, 274 (1992);ADSGoogle Scholar
  427. [298a]
    B. Blumenfeld et al, Phys. Rev. Lett. 62, 2237 (1989);ADSGoogle Scholar
  428. [298b]
    L. S. Durkin et al, Phys. Rev. Lett. 61, 1811 (1988);ADSGoogle Scholar
  429. [298c]
    C. Angelini et al., Phys. Lett. B179, 307 (1986);Google Scholar
  430. [298d]
    L. A. Ahrens et al., Phys. Rev. D31, 2732 (1985).ADSGoogle Scholar
  431. [299]
    G. Zacek et al., Phys. Rev. D34, 2621 (1986).ADSGoogle Scholar
  432. [300]
    F. Bergsmaetal., Phys. Lett. 142B, 103 (1984);Google Scholar
  433. [300a]
    F. Dydak et al., Phys. Lett. 134B, 281 (1984);Google Scholar
  434. [300b]
    I. E. Stockdale et al, Z. Phys. C27, 53 (1985).Google Scholar
  435. [301]
    N. Ushida et al, Phys. Rev. Lett. 57, 2897 (1986).ADSGoogle Scholar
  436. [302]
    H. Harari, in Weak Interactions and Neutrinos — 1989, Proc. of the 12th International Workshop on Weak Interactions and Neutrinos, Sea of Galilee, 1989, ed. by P. Singer and G. Eilam, Nucl. Phys. B (Proc. Suppl.) 13, 103 (1990).Google Scholar
  437. [303]
    The representative reports from the 37C1 experiment at Homestake include: R. Davis, Jr. in Proc. of International Symposium on Neutrino Astrophysics, Takayama 1992 (to be published);Google Scholar
  438. [303a]
    R. Davis in Proc. of Seventh Workshop on Grand Unification, ICOBAN 86, ed. by J. Arafune (World Scientific, Singapore, 1987) p.237;Google Scholar
  439. [303b]
    J. K. Rowley, B. T. Cleveland and R. Davis, Jr., in Solar Neutrinos and Neutrino Astronomy, Homestake, 1984, ed. by M. L. Cherry, K. Lande and W. A. Fowler (AIP Conf. Proc. No.126, 1985) p.1;Google Scholar
  440. [303c]
    R. Davis Jr., in Proc. Informal Conference on Status and Future of Solar Neutrino Research, BNL, 1978, BNL report 50879 ed. G. Friedlander (1978) p.1.Google Scholar
  441. [304]
    J. N. Bahcall and R. K. Ulrich, Rev. Mod. Phys. 60, 297 (1988).ADSGoogle Scholar
  442. [305]
    S. Turck-Chièze, S. Cahen, M. Cassé and C. Doom, Astrophys. J. 335, 415 (1988).ADSGoogle Scholar
  443. [306]
    J. N. Bahcall and M. H. Pinsonneault, Rev. Mod. Phys. 64, 885 (1992).ADSGoogle Scholar
  444. [307]
    J. N. Bahcall, in Neutrino 90, Proc of the 14th International Conference on Neutrino Physics and Astrophysics, CERN, 1990, ed. by J. Panman and K. Winter, Nucl. Phys. B (Proc. Suppl.) 19, 94 (1991);Google Scholar
  445. [307a]
    M. Fukugita and T. Yanagida, Mod. Phys. Lett. A6, 645 (1991);ADSGoogle Scholar
  446. [307b]
    J. N. Bahcall and H. A. Bethe, Phys. Rev. Lett. 65, 2233 (1990);ADSGoogle Scholar
  447. [307c]
    J. N. Bahcall and H. A. Bethe, Phys. Rev. D47, 1298 (1993); S. Bludman, N. Hata and P. Langacker, Pennsylvania preprint UPR-0572T (1993).ADSGoogle Scholar
  448. [308]
    B. Pontecorvo, Zh. Eksp. Teor. Fiz. 53, 1717 (1968). [Sov. Phys. JETP 26, 984 (1968)].Google Scholar
  449. [309]
    V. Barger, K. Whisnant and R. J. N. Phillips, Phys. Rev. D24, 538 (1981).ADSGoogle Scholar
  450. [310]
    S. L. Glashow and L. Kraus, Phys. Lett. 190B, 179 (1987).Google Scholar
  451. [311]
    V. Barger, R. J. N. Phillips and K. Whisnant, Phys. Rev. Lett. 65, 3084 (1990);ADSGoogle Scholar
  452. [311a]
    V. Barger, R. J. N. Phillips and K. Whisnant, Phys. Rev. Lett. 69, 3135 (1992).ADSGoogle Scholar
  453. [312]
    A. Acker, S. Pakvasa and J. Pantaleone, Phys. Rev. D43, R1754 (1991).ADSGoogle Scholar
  454. [313]
    S. Pakvasa and J. Pantaleone, Phys. Rev. Lett. 65, 2479 (1990).ADSGoogle Scholar
  455. [314]
    F. Reines, Ann. Rev. Nucl. Sci. 10, 1 (1969);ADSGoogle Scholar
  456. [314a]
    M. A. Markov, in Proc. of the 1960 Annual International Conference on High Energy Physics at Rochester, 1960, ed. by E. C. G. Sudershan, J. H. Tinlot and A. C. Melissinos (Rochester University, New York, 1960) p.578;Google Scholar
  457. [314b]
    M. A. Markov and I. M. Zheleznykh, Nucl. Phys. 27, 385 (1961).Google Scholar
  458. [315]
    G. T. Zatsepin and V. A. Kuzmin, Zh. Eksp. Teor. Fiz. 41, 1818 (1961) [Sov. Phys. JETP 14, 1294 (1962)].Google Scholar
  459. [316]
    P. H. Frampton and S. L. Glashow, Phys. Rev. D25, 1982 (1982).ADSGoogle Scholar
  460. [317]
    D. S. Ayres et al., Phys. Rev. D29, 902 (1984);ADSGoogle Scholar
  461. [317a]
    G. V. Dass and K. V. L. Sarma, Phys. Rev. D30, 80 (1984).ADSGoogle Scholar
  462. [318]
    J. M. LoSecco et al., Phys. Rev. Lett. 54, 2299 (1985).ADSGoogle Scholar
  463. [319]
    K. S. Hirata et al., Phys. Lett. B280, 146 (1992); see also, ibid B205, 416 (1988).ADSGoogle Scholar
  464. [320]
    J. G. Learned, S. Pakvasa and T. J. Weiler, Phys. Lett. B207, 79 (1988);Google Scholar
  465. [320a]
    V. Barger and K. Whisnant, Phys. Lett. B209, 365 (1988);Google Scholar
  466. [320b]
    K. Hidaka, M. Honda and S. Midorikawa, Phys. Rev. Lett. 61, 1537 (1988);ADSGoogle Scholar
  467. [321]
    R. Becker-Szendy et al., Phys. Rev. D46, 3720 (1992);ADSGoogle Scholar
  468. [321a]
    D. Casper et al., Phys. Rev. Lett. 66, 2561 (1991).ADSGoogle Scholar
  469. [322]
    R. Becker-Szendy et al., Phys. Rev. Lett. 69, 1010 (1992); see also LoSecco et al., Ref.[318].ADSGoogle Scholar
  470. [323]
    C. Berger et al., Phys. Lett. B245, 305 (1990).Google Scholar
  471. [324]
    E. C. M. Young, in Cosmic Rays at Ground Level, ed by A. W. Wolfendale (Institute of Physics, London, 1973) p.105;Google Scholar
  472. [324a]
    L. V. Volkova, Yad. Fiz. 31, 1510 (1980) [Sov. J. Nucl. Phys. 31, 784 (1980)];Google Scholar
  473. [324b]
    T. K. Gaisser, T. Stanev, S. A. Bludman and H. Lee, Phys. Rev. Lett. 51, 223 (1983);ADSGoogle Scholar
  474. [324c]
    A. Dar, Phys. Rev. Lett. 51, 227 (1983).ADSGoogle Scholar
  475. [325]
    T. K. Gaisser, T Stanev and G. Barr, Phys. Rev. D38, 85 (1988)ADSGoogle Scholar
  476. [325a]
    T. K. Gaisser and T. Stanev, Phys. Rev. D39, 3532 (1989);Google Scholar
  477. [325b]
    M. Honda et al., Phys. Lett. B248, 193 (1990);MathSciNetGoogle Scholar
  478. [325c]
    E. V. Bugaev and V. A. Naumov, Phys. Lett. B232, 391 (1989);Google Scholar
  479. [325d]
    H. Lee and Y. S. Koh, Nuovo Cim. 105B, 883 (1990);ADSGoogle Scholar
  480. [325e]
    M. Kawasaki and S. Mizuta, Phys. Rev. D43, 2900 (1991).ADSGoogle Scholar
  481. [326]
    C. Stornier, Astrophysics 1, 237 (1930);Google Scholar
  482. [326a]
    D. J. Cooke, Phys. Rev. Lett. 51, 320 (1983).ADSGoogle Scholar
  483. [327]
    L. V. Volkova, unpublished (1988) (quoted in G. Barr et al., Ref.[325].) 236 M. Fukugita and T. YanagidaADSGoogle Scholar
  484. [328]
    M. Fukugita, H. Murayama and T. Yanagida, unpublished (1992).Google Scholar
  485. [329]
    T. Yanagida and M. Yoshimura, Prog. Theor. Phys. 64, 1870 (L) (1980).ADSGoogle Scholar
  486. [330]
    V. Barger, P. Langacker, J. P. Leveille and S. Pakvasa, Phys. Rev. Lett. 45, 692 (1980).ADSGoogle Scholar
  487. [331]
    L. Wolfenstein, Phys. Rev. D17, 2369 (1978).ADSGoogle Scholar
  488. [332]
    S. P. Mikheyev and A. Yu. Smirnov, Yad. Fiz. 42, 1441 (1985) [Sov. J. Nucl. Phys. 42, 913 (1985)]; Nuovo Cim. 9C, 17 (1986).ADSGoogle Scholar
  489. [333]
    V. Barger, K. Whisnant, S. Pakvasa and R. J. N. Phillips, Phys. Rev. D22, 2718 (1980).ADSGoogle Scholar
  490. [334]
    H. A. Bethe, Phys. Rev. Lett. 56, 1305 (1986).ADSGoogle Scholar
  491. [335]
    P. D. Mannheim, Phys. Rev. D37, 1935 (1988).ADSGoogle Scholar
  492. [336]
    S. J. Parke, Phys. Rev. Lett. 57, 1275 (1986).ADSGoogle Scholar
  493. [337]
    W. C. Haxton, Phys. Rev. Lett. 57, 1271 (1986).ADSGoogle Scholar
  494. [338]
    L. Landau, Phys. Zeits. d. Sowjetunion, 2, 46 (1932);Google Scholar
  495. [338a]
    C. Zener, Proc. Roy. Soc. London A137, 696 (1932);ADSGoogle Scholar
  496. [338b]
    E. C. G. Stueckelberg, Helv. Phys. Acta 5, 369 (1932).Google Scholar
  497. [339]
    S. P. Rosen and J. M. Gelb, Phys. Rev. D34, 969 (1986).MathSciNetADSGoogle Scholar
  498. [340]
    E. W. Kolb, M. S. Turner and T. P. Walker, Phys. Lett. B175, 478 (1986).Google Scholar
  499. [341]
    T. K. Kuo and J. Pantaleone, Phys. Rev. Lett. 57, 1805 (1986).ADSGoogle Scholar
  500. [342]
    S. P. Mikheev and A. Yu. Smirnov, Usp. Fiz. Nauk 153, 3 (1987) [Sov. Phys. Usp. 30, 759 (1987)].Google Scholar
  501. [343]
    T. K. Kuo and J. Pantaleone, Rev. Mod. Phys. 61, 937 (1989).ADSGoogle Scholar
  502. [344]
    E. T. Whittaker and G. N. Watson, Modern Analysis (Cambridge University Press, Cambridge 1927).MATHGoogle Scholar
  503. [345]
    S. Toshev, Phys. Lett. B196, 170 (1987);Google Scholar
  504. [345a]
    T. Kaneko, Prog. Theor. Phys. 78, 532 (1987).ADSGoogle Scholar
  505. [346]
    T. K. Kuo and J. Pantaleone, Phys. Rev. D39, 1930 (1989).ADSGoogle Scholar
  506. [347]
    V. Barger, R. J. N. Phillips and K. Whisnant, Phys. Rev. D34, 980 (1986);ADSGoogle Scholar
  507. [347a]
    J. Bouchez et al., Z. Phys. C32, 499 (1986);Google Scholar
  508. [347b]
    S. J. Parke and T. P. Walker, Phys. Rev. Lett. 57, 2322 (1986);ADSGoogle Scholar
  509. [347c]
    W. C. Haxton, Phys. Rev. D35, 2352 (1987);ADSGoogle Scholar
  510. [347d]
    J. N. Bahcall, J. M. Gelb and S. P. Rosen, Phys. Rev. D35, 2976 (1987);ADSGoogle Scholar
  511. [347e]
    A. Dar, A. Mann, Y. Melina and D. Zajfman, Phys. Rev. D35, 3607 (1987);ADSGoogle Scholar
  512. [347f]
    P. I. Krastev and S. T. Petcov, Phys. Lett. 207B, 64 (1988);Google Scholar
  513. [347g]
    J. N. Bahcall and VV. C. Haxton, Phys. Rev. D40, 931 (1989);ADSGoogle Scholar
  514. [347h]
    K. S. Hirata et al., Phys. Rev. Lett. 65, 1301 (1990); P. I. Krastev, S. P. Mikheev and A. Yu. Smirnov, Inst. Nucl. Research (Moscow) preprint, P-695 (1991).ADSGoogle Scholar
  515. [348]
    Analyses with three neutrinos are carried out by: H. W. Zaglauer and K. H. Schwarzer, Phys. Lett. B 198, 556 (1987);ADSGoogle Scholar
  516. [348a]
    C. W. Kim and W. K. Sze, Phys. Rev. D35, 1404 (1987);MathSciNetADSGoogle Scholar
  517. [348b]
    T. K. Kuo and J. Pantaleone, Phys. Rev. D35, 3432 (1987);ADSGoogle Scholar
  518. [348c]
    S. T. Petcov, Phys. Lett. B214, 259 (1988);Google Scholar
  519. [348d]
    S. P. Mikheyev and A. Yu. Smirnov, Phys. Lett. B200, 560 (1988).ADSGoogle Scholar
  520. [349]
    More recent analyses are given in: P. Anselmann, Phys. Lett. B285, 390 (1992);ADSGoogle Scholar
  521. [349a]
    X. Shi, D. N. Schramm and J. N. Bahcall, Phys. Rev. Lett. 69, 717 (1992);ADSGoogle Scholar
  522. [349b]
    P. I. Krastev and S. T. Petcov, Phys. Lett. B299, 99 (1993);Google Scholar
  523. [349c]
    S. A. Bludman, N. Hata, D. C. Kennedy and P. G. Langacker, Phys. Rev. D47, 2220 (1993);ADSGoogle Scholar
  524. [349d]
    M. White, L. Krauss and E. Gates, Phys. Rev. Lett. 70, 375 (1993).ADSGoogle Scholar
  525. [350]
    S. P. Mikheyev and A. Yu. Smirnov, in ′86 Massive Neutrinos in Astrophysics and in Particle Physics, Proc. of the 6th Moriond Workshop, Tignes, 1986, ed. by O. Fackler and J. Tran Thanh Van (Editions Frontières, Gif-sur-Yvette, 1986) p.355;Google Scholar
  526. [350a]
    J. Bouchez et al, Z. Phys. C32, 499 (1986);Google Scholar
  527. [350b]
    A. Dar and A. Mann, Nature (London) 325, 790 (1987);ADSGoogle Scholar
  528. [350c]
    A. J. Baltz and J. Weneser, Phys. Rev. D35, 528 (1987);ADSGoogle Scholar
  529. [350d]
    M. Cribier, W. Hampel, J. Rich and D. Vignaud, Phys. Lett. B182, 89 (1986);Google Scholar
  530. [350e]
    M. L. Cherry and K. Lande, Phys. Rev. D36, 3571 (1987);ADSGoogle Scholar
  531. [350f]
    S. Hiroi, H. Sakuma, T. Yanagida and M. Yoshimura, Phys. Lett. B198, 403 (1987):ADSGoogle Scholar
  532. [350g]
    S. Hiroi, H. Sakuma, T. Yanagida and M. Yoshimura, Prog. Theor. Phys. 78, 1428 (1987);ADSGoogle Scholar
  533. [350g]
    A. J. Baltz and J. Weneser, Phys. Rev. D37, 3364 (1988).ADSGoogle Scholar
  534. [351]
    F. D. Stacey, Physics of the Earth (Wiley, New York, 1969).Google Scholar
  535. [352]
    M. Koshiba, in Proc. of Workshop on Grand Unified Theories and Cos-mology, Tsukuba, 1983 ed. by K. Odaka and A. Sugamoto, KEK report 84–12 (1984) p.24;Google Scholar
  536. [352a]
    Y. Totsuka, in Seventh Workshop on Grand Unification / ICOBAN′86, Toyama, 1986, ed. by J. Arafune (World Scientific, Singapore, 1987) p.11S.Google Scholar
  537. [353]
    K. S. Hirata et al., Phys. Rev. Lett, 66, 9 (1991).ADSGoogle Scholar
  538. [354]
    G. Sinclair et al. Nuovo Cim. 9C, 308 (1986);ADSGoogle Scholar
  539. [354a]
    G. Aardsma, Phys. Lett. 194B, 321 (1987).Google Scholar
  540. [355]
    C. Arpesella et al. (BOREXINO Collaboration) BOREXINO at Gran Sasso, Proposal for a Real Time Detector for Loiu Energy Neutrinos (Gran Sasso Lab. 1991) vol. I and II.Google Scholar
  541. [356]
    E. D. Carlson, Phys. Rev. D34, 1454 (1986);ADSGoogle Scholar
  542. [356a]
    J. M. LoSecco, Phys. Rev. Lett. 57, 652 (1986);ADSGoogle Scholar
  543. [356b]
    J. M. LoSecco et al., Phys. Lett. B184, 305 (1987).Google Scholar
  544. [357]
    P. O. Lagage, M. Cribier, J. Rich and D. Vignaud, Phys. Lett. B193, 127 (1987);Google Scholar
  545. [357a]
    L. Wolfenstein, Phys. Lett. B194, 197 (1987).Google Scholar
  546. [358]
    J. Arafune and M. Pukugita, Ref.[157];Google Scholar
  547. [358a]
    J. Arafune, M. Pukugita, T. Yanagida and M. Yoshimura, Phys. Rev. Lett. 59 1864 (1987);ADSGoogle Scholar
  548. [358b]
    J. Arafune, M. Pukugita, T. Yanagida and M. Yoshimura, Phys. Lett. B194, 477 (1987);Google Scholar
  549. [358c]
    H. Minakata, H. Nunokawa, K. Shiraishi and H. Suzuki, Mod. Phys. Lett. A2, 827 (1987);ADSGoogle Scholar
  550. [358d]
    S. P. Mikheyev and A. Yu. Smirnov, Pisma Zh. Eksp. Teor. Fiz. 46, 11 (1987) [JETP Lett. 46, 10 (1987)].ADSGoogle Scholar
  551. [359]
    J. N. Bahcall, A. Yu. Smirnov and D. N. Spergel, Princeton preprint IASSNS-93–15 (1983).Google Scholar
  552. [360]
    S. P. Mikeyev and A. Yu. Smirnov, Ref. [350]Google Scholar
  553. [361]
    P. Langacker, S. T. Petcov. G. Steigman and S. Toshev, Nucl. Phys. B282, 589 (1987).ADSGoogle Scholar
  554. [362]
    N. Cabibbo, Phys. Lett. 72B, 333 (1978).Google Scholar
  555. [363]
    S. M. Bilenky and S. T. Petcov, Rev. Mod. Phys. 59, 671 (1987).ADSGoogle Scholar
  556. [364]
    L. F. Li and F. Wilczek, Phys. Rev. D25, 143 (1982).ADSGoogle Scholar
  557. [365]
    H. Y. Chen, Phys. Rev. D34, 2794 (1986).ADSGoogle Scholar
  558. [366]
    M. Doi et al., Phys. Lett. 102B, 323 (1981).Google Scholar
  559. [367]
    B. W. Lee and S. Weinberg, Phys. Rev. Lett. 39, 165 (1977).ADSGoogle Scholar
  560. [368]
    D. A. Dicus, E. W. Kolb and V. L. Teplitz, Phys. Rev. Lett. 39, 168 (1977);ADSGoogle Scholar
  561. [368a]
    D. A. Dicus, E. W. Kolb and V. L. Teplitz, Astrophys. J. 221, 327 (1978).ADSGoogle Scholar
  562. [369]
    E. W. Kolb and T. Goldman, Phys. Rev. Lett. 43, 897 (1979).ADSGoogle Scholar
  563. [370]
    E. W. Kolb, M. S. Turner, A. Chakravorty and D. N. Schramm, Phys. Rev. Lett. 67, 533 (1991);ADSGoogle Scholar
  564. [370a]
    A. D. Dolgov, I. Z. Rothstein, Phys. Rev. Lett. 71, 476 (1993);ADSGoogle Scholar
  565. [370b]
    see also E. W. Kolb and R. J. Scherrer, Phys. Rev. D25, 1481 (1982).ADSGoogle Scholar
  566. [371]
    M. S. Turner, G. Steigman and L. M. Krauss, Phys. Rev. Lett. 52, 2090 (1984);ADSGoogle Scholar
  567. [371a]
    M. Fukugita nad T. Yanagida, Phys. Lett. 144B, 386 (1984).MathSciNetGoogle Scholar
  568. [372]
    R. Gandhi and A. Burrows, Phys. Lett. B246, 149 (1990);Google Scholar
  569. [372a]
    A. Burrows, R. Gandhi and M. S. Turner, Phys. Rev. Lett. 68, 3834 (1992).ADSGoogle Scholar
  570. [373]
    S. Dodelson, J. A. Frieman and M. S. Turner, Phys. Rev. Lett. 68, 2572 (1992).ADSGoogle Scholar
  571. [374]
    R. E. Shrock, Phys. Rev. D24, 1232 (1981).ADSGoogle Scholar
  572. [375]
    M. Daum et al., Phys. Rev. D36, 2624 (1987);ADSGoogle Scholar
  573. [375a]
    R. Abela et al., Phys. Lett. 105B, 263 (1981);Google Scholar
  574. [375b]
    see also R. C. Minehart et al., Phys. Rev. Lett. 52, 804 (1984).ADSGoogle Scholar
  575. [376]
    D. A. Bryman et al., Phys. Rev. Lett. 50, 1546 (1983);ADSGoogle Scholar
  576. [376a]
    N. De Leener-Rosier et al., Phys. Rev. D43, 3611 (1991).Google Scholar
  577. [377]
    L. Oberauer, F. von Feilitzsch and R. L. Mössbauer, Phys. Lett. B198, 113 (1987).Google Scholar
  578. [378]
    J. J. Simpson, Phys. Rev. Lett. 54, 1891 (1985).ADSGoogle Scholar
  579. [379]
    A. M. Apalikov et al, Pis’ma Zh. Eksp. Teor. Fiz. 42, 233 (1985) [JETP Lett. 42, 289 (1985)];Google Scholar
  580. [379a]
    J. Markey and F. Boehm, Phys. Rev. C32, 2215 (1985);ADSGoogle Scholar
  581. [379b]
    T. Altzitzoglou et al., Phys. Rev. Lett. 55, 799 (1985);ADSGoogle Scholar
  582. [379c]
    T. Ohi et al., Phys. Lett. 160B, 322 (1985);Google Scholar
  583. [379d]
    V. M. Dater et al., Nature 318, 547 (1985).ADSGoogle Scholar
  584. [380]
    J. J. Simpson, Phys. Lett. B174, 113 (1986);Google Scholar
  585. [380a]
    J. J. Simpson and A. Hime, Phys. Rev. D39, 1825; 1837 (1989);ADSGoogle Scholar
  586. [380b]
    B. Sur et al., Phys. Rev. Lett. 66, 2444 (1991);ADSGoogle Scholar
  587. [380c]
    A. Hime and N. A. Jelley, Phys. Lett. B257, 441 (1991).Google Scholar
  588. [381]
    M. J. Dugan, G. B. Gelmini, H. Georgi and L. J. Hall, Phys. Rev. Lett. 54, 2302 (1985);ADSGoogle Scholar
  589. [381a]
    S. L. Glashow and A. Manohar, Phys. Rev. Lett. 54, 2306 (1985);ADSGoogle Scholar
  590. [381b]
    J. F. Valle, Phys. Lett. B159, 49 (1985);Google Scholar
  591. [381c]
    M. J. Dugan, A. Manohar and A. E. Nelson, Phys. Rev. Lett. 55, 170 (1985).ADSGoogle Scholar
  592. [382]
    T. Ohshima et al., Phys. Rev. D47, 4840 (1993);ADSGoogle Scholar
  593. [382a]
    M Chen et al., Phys. Rev. Lett. 69, 3151 (1992);ADSGoogle Scholar
  594. [382b]
    J. Mortara et al., Phys. Rev. Lett. 70, 394 (1993);ADSGoogle Scholar
  595. [382c]
    F. Wietfeldt et al, Phys. Rev. Lett. 70, 1759 (1993);ADSGoogle Scholar
  596. [382d]
    A. Hime, Phys. Lett. B299, 165 (1993).Google Scholar
  597. [383]
    Y. Hosotani, Nucl. Phys. B191, 411 (1981).ADSGoogle Scholar
  598. [384]
    J. C. Pati and A. Salam, Phys. Rev. Lett. 31, 661 (1973).ADSGoogle Scholar
  599. [385]
    H. Georgi and S. L. Glashow, Phys. Rev. Lett. 32, 438 (1974).ADSGoogle Scholar
  600. [386]
    J. C. Pati and A. Salam, Phys. Rev. D10, 275 (1974);ADSGoogle Scholar
  601. R. N. Mohapatra and J. C. Pati, Phys. Rev. D11, 2558 (1975);ADSGoogle Scholar
  602. G. Senjanovic and R. N. Mohapatra, Phys. Rev. D12, 1502 (1975)ADSGoogle Scholar
  603. [387]
    R. N. Mohapatra and G. Senjanovic, Phys. Rev. Lett. 44, 912 (1980);ADSGoogle Scholar
  604. [387]
    R. N. Mohapatra and G. Senjanovic, Phys. Rev. D23, 165 (1981).ADSGoogle Scholar
  605. [388]
    H. Fritzsch and P. Minkowski, Ann. Phys. (NY) 93, 193 (1975).MathSciNetADSGoogle Scholar
  606. [389]
    H. Georgi, in Particles and Fields, APS/PPF Williamsburg, éd. C. E. Carlson (AIP, New York, 1975).Google Scholar
  607. [390]
    H. Georgi and S. L. Glashow, Phys. Rev. D6, 429 (1972);Google Scholar
  608. D. J. Gross and R. Jackiw, Phys. Rev. D6, 477 (1972).ADSGoogle Scholar
  609. [391]
    R. Slansky, Phys. Rep. C79, 1 (1981).MathSciNetADSGoogle Scholar
  610. [392]
    M. S. Chanowitz, J. Ellis and M. K. Gaillard, Nucl. Phys. B128, 506 (1977).ADSGoogle Scholar
  611. [393]
    G. Branco and A. Masiero, Phys. Lett. B97, 95 (1980);Google Scholar
  612. T. Yanagida and M. Yoshimura, Phys. Lett. B97, 99 (1980).ADSGoogle Scholar
  613. [394]
    A. J. Buras, J. Ellis, M. K. Gaillard and D. V. Nanopoulos, Nucl. Phys. B135, 66 (1978).ADSGoogle Scholar
  614. [395]
    P. Langacker, Phys. Rep. C72, 185 (1981).ADSGoogle Scholar
  615. [396]
    S. F. Tuan, Mod. Phys. Lett. A7, 641 (1992).Google Scholar
  616. [397]
    E. Witten, Phys. Lett. 91B, 81 (1980).MathSciNetADSGoogle Scholar
  617. [398]
    S. Rajpoot, Phys. Rev. D22, 2244 (1980).MathSciNetADSGoogle Scholar
  618. [399]
    H. Georgii H. R. Quinn and S. Weinberg, Phys. Rev. Lett. 33, 451 (1974).ADSGoogle Scholar
  619. [400]
    H. Georgi and D. V. Nanopoulos, Nucl. Phys. B159, 16 (1979);ADSGoogle Scholar
  620. Q. Shafi, M. Sondermann and C. Wetterich, Phys. Lett. 92B, 304 (1980);ADSGoogle Scholar
  621. T. G. Rizzo and G. Senjanovic, Phys. Rev. Lett. 46, 1315 (1981).ADSGoogle Scholar
  622. [401]
    W. E. Caswell, J. Milutinovic and G. Senjanovic, Phys. Rev. D26, 161 (1982);ADSGoogle Scholar
  623. R. W. Robinett and J. L. Rosner, Phys. Rev. D25, 3036 (1982).ADSGoogle Scholar
  624. [402]
    Y. Tosa, G. C. Branco and R. E. Marshak, Phys. Rev. D28, 1713 (1983).ADSGoogle Scholar
  625. [403]
    P. Langacher and M. X. Luo, Ref.[69].Google Scholar
  626. [404]
    T. J. Goldman and D. A. Ross, Phys. Lett. 84B, 208 (1979);ADSGoogle Scholar
  627. [404]
    T. J. Goldman and D. A. Ross, Nucl. Phys. B171, 273 (1980);ADSGoogle Scholar
  628. M. B. Einhorn and D. R. T. Jones, Nucl. Phys. B196, 475 (1982).ADSGoogle Scholar
  629. [405]
    For example, Y. Totsuka, in Proc of the 1985 International Symposium on Lepton and Photon Interaction at High Energies, Kyoto, 1985 ed. by M. Konuma and K. Takahashi (Yukawa. Hall, Kyoto 1986), p.120.Google Scholar
  630. [406]
    R. Becker-Szendy et al, Phys. Rev. D42, 2974 (1990).ADSGoogle Scholar
  631. [407]
    For example W. J. Marciano, in Proceedings of Eighth Workshop on Grand Unification, ed. C. Wali (World Scientific, Singapore, 1987) p.185.Google Scholar
  632. [408]
    U. Amaldi, W. de Boer and H. Fürstenau, Phys. Lett. B260, 447 (1991);Google Scholar
  633. [408]
    J. Ellis, S. Kelly and D. V. Nanopoulos, Phys. Lett. B260, 131 (1991).Google Scholar
  634. [409]
    S. Dimopoulos, S. Raby and F. Wilceek, Phys. Rev. D24, 1681 (1981).ADSGoogle Scholar
  635. [410]
    N. Sakai and T. Yanagida, Nucl. Phys. B197, 533 (1982).ADSGoogle Scholar
  636. [411]
    S. Weinberg, Phys. Rev. D26, 287 (1982).ADSGoogle Scholar
  637. [412]
    J. Hisano, H. Murayama and T. Yanagida, Phys. Rev. Lett. 69, 1014 (1992).ADSGoogle Scholar
  638. [413]
    P. Nath and R. Arnowitt, NUB-TH-3056/92 (1992);Google Scholar
  639. [413a]
    J. L. Lopez, D. V. Nanopoulos and A. Zichichi, CERN preprint TH 6934/93 (1993).Google Scholar
  640. [413]
    P. Nath and R. Arnowitt, NUB-TH-3056/92 (1992);Google Scholar
  641. [413a]
    J. L. Lopez, D. V. Nanopoulos and A. Zichichi, CERN preprint TH 6934/93 (1993).Google Scholar
  642. [414]
    M. Machacek, Nucl. Phys. B159, 37 (1979).ADSGoogle Scholar
  643. [415]
    V. V. Dixit and M. Sher, Phys. Rev. D40, 3765 (1989).ADSGoogle Scholar
  644. [416]
    M. K. Parida and P. K. Patra, Phys. Rev. Lett. 66, 858 (1991).ADSGoogle Scholar
  645. [417]
    D. Chang, R. N. Mohapatra and M. K. Parida, Phys. Rev. Lett. 52, 1072.Google Scholar
  646. [418]
    N. G. Deshpande, E. Keith and P. B. Pal, Phys. Rev. D46, 2261 (1992);ADSGoogle Scholar
  647. [418a]
    N. T. Shaban and W. J. Stirling, Phys. Lett. B291, 281 (1992);ADSGoogle Scholar
  648. [418]b
    M. K. Parida, P. K. Patra and C. C. Hazra, Phys. Rev. D43, 2351 (1991);ADSGoogle Scholar
  649. [418c]
    G. M. Asatryan and S. G. Matinyan, Yad. Fiz. 55, 479 (1992).Google Scholar
  650. [419]
    M. Pukugita and T. Yanagida, Ref. [307].Google Scholar
  651. [420]
    R. N. Mohapatra and M. K. Parida, Phys. Rev. D47, 264 (1993).ADSGoogle Scholar
  652. [421]
    D. Chang, R. N. Mohapatra, J. M. Gipson, R. E. Marshak and M. K. Parida, Phys. Rev. D31, 1718 (1985).ADSGoogle Scholar
  653. [422]
    J. A. Harvey, D. B. Reiss and P. Ramond, Nucl. Phys. B199, 223 (1982).ADSGoogle Scholar
  654. [423]
    H. Georgi and C. Jarlskog, Phys. Lett. 86B, 297 (1979).ADSGoogle Scholar
  655. [424]
    R. D. Peccei and H. R. Quinn, Phys. Rev. Lett. 38, 1440 (1977);ADSGoogle Scholar
  656. [424]
    R. D. Peccei and H. R. Quinn, Phys. Rev. D16, 1791 (1977).ADSGoogle Scholar
  657. [425]
    Y. Chikashige, R. M. Mohapatra and R. N. Peccei, Phys. Rev. Lett. 45, 1926 (1980).ADSGoogle Scholar
  658. [426]
    D. B. Reiss, Phys. Lett. B115, 217 (1982).ADSGoogle Scholar
  659. [427]
    F. Wilczek, Phys. Rev. Lett. 49, 1549 (1982);MathSciNetADSGoogle Scholar
  660. G. B. Gelmini, S. Nussinov and T. Yanagida, Nucl. Phys. B219, 31 (1983).ADSGoogle Scholar
  661. [428]
    M. Fukugita and T. Yanagida, Phys. Rev. Lett. 66, 2705 (1991).ADSGoogle Scholar
  662. [429]
    A. Jodidio et al., Phys. Rev. D34, 1967 (1986).ADSGoogle Scholar
  663. [430]
    M. S. Atiya et al, Phys. Rev. Lett. 64, 21 (1990).ADSGoogle Scholar
  664. [431]
    M. Fukugita and T. Yanagida, Phys. Rev. Lett. 55, 2645 (1985).ADSGoogle Scholar
  665. [432]
    T. Maehara and T. Yanagita, Nuovo. Cim. Lett. 19, 424 (1977);Google Scholar
  666. [432]
    T. Maehara and T. Yanagita, Prog. Theor. Phys. 60, 822 (1978);ADSGoogle Scholar
  667. [432a]
    K. Akama and H. Terazawa, INS-Report-257 (1977);Google Scholar
  668. [432b]
    F. Wilczek and A. Zee, Phys. Rev. Lett. 42, 421 (1979).ADSGoogle Scholar
  669. [433]
    T. Yanagida, Phys. Rev. D20, 2986 (1979).ADSGoogle Scholar
  670. [434]
    S. L. Glashow, Phys. Lett. B256, 255 (1991).MathSciNetADSGoogle Scholar
  671. [435]
    G. t’Hooft, Phys. Rev. Lett. 37, 8 (1976);ADSGoogle Scholar
  672. [435a]
    G. t’Hooft, Phys. Rev. D14, 3432 (1976).ADSGoogle Scholar
  673. [436]
    C. G. Callan, Jr., R. F. Dashen and D. J. Gross, Phys. Lett. B63, 334 (1976);ADSGoogle Scholar
  674. [436a]
    R. Jackiw and C. Rebbi, Phys, Rev. Lett. 37, 172 (1976).ADSGoogle Scholar
  675. [437]
    M. F. Smith, Phys. Lett. B234, 191 (1990).ADSGoogle Scholar
  676. [438]
    V. Baluni, Phys. Rev. D19, 2227 (1979);ADSGoogle Scholar
  677. [438a]
    R. J. Crewther, P. DiVecchia, G. Veneziano and E. Witten, Phys. Lett. 88B, 123 (1979).ADSGoogle Scholar
  678. [439]
    S. Weinberg, Phys. Rev. Lett. 40, 223 (1978);ADSGoogle Scholar
  679. F. Wilczek, Phys. Rev. Lett. 40, 279 (1978).ADSGoogle Scholar
  680. [440]
    For example, see R. D. Peccei, in Proceedings of Grand Unified Theories and Related Topics, Kyoto, 1981, ed. by M. Konuma and T. Maskawa (World Scientific, Singapore, 1981) p.347.Google Scholar
  681. [441]
    J. E. Kim, Phys. Rev. Lett. 43, 103 (1979).ADSGoogle Scholar
  682. [442]
    M. Dine, W. Fischler and M. Srednicki, Phys. Lett. 104B, 199 (1981).ADSGoogle Scholar
  683. [443]
    M. A. Shifman, A. I. Vainshtein and V. I. Zakharov, Nucl. Phys. B166, 493 (1980).MathSciNetADSGoogle Scholar
  684. [444]
    C. Vafa and E. Witten, Phys. Rev. Lett. 53, 535 (1984);ADSGoogle Scholar
  685. [444]
    C. Vafa and E. Witten, Nucl. Phys. B234, 173 (1984).MathSciNetADSGoogle Scholar
  686. [445]
    R. N. Mohapatra and G. Senjanovic, Z. Phys. C17, 53 (1983).ADSGoogle Scholar
  687. [446]
    R. Holman, G. Lazarides and Q. Shah, Phys. Rev. D27, 995 (1983).ADSGoogle Scholar
  688. [447]
    P. Langacker, R. D. Peccei and T. Yanagida, Mod. Phys. Lett. A1, 541 (1986).ADSGoogle Scholar
  689. [448]
    D. A. Dicus, E. W. Kolb, V. L. Teplitz and R. V. Wagoner, Phys. Rev. D18, 1829 (1978);ADSGoogle Scholar
  690. [448a.
    ] see also M. I. Vysotskii, Ya. B. Zeldovich, M. Yu. Khlopov and V. M. Chechetkin, Pisma Zh. Eksp. Teor. Fiz. 27, 533 (1978) [JETP Lett. 27, 502 (1978)];ADSGoogle Scholar
  691. [448b]
    the argument for the constraint on exotic scalar particle emission from stars was first made by K. Sato and H. Sato, Prog. Theor. Phys. 54, 1564 (1975).ADSGoogle Scholar
  692. [449]
    M. Fukugita, S. Watamura and M. Yoshimura, Phys. Rev. Lett. 48, 1522 (1982);ADSGoogle Scholar
  693. [449]
    M. Fukugita, S. Watamura and M. Yoshimura, Phys. Rev. D26, 1840 (1982);ADSGoogle Scholar
  694. [449a]
    D. S. P. Dearborn, D. N. Schramm and G. Steigman, Phys. Rev. Lett. 56, 26 (1986);ADSGoogle Scholar
  695. [449b]
    G. G. Raffelt, Phys. Rev. D33, 897 (1986); D41, 1324 (1990); constraints from neutron star cooling was discussed in N. Iwamoto, Phys. Rev. Lett. 53, 1198 (1984).ADSGoogle Scholar
  696. [450]
    R. Mayleet al, Phys. Lett. B203, 188 (1988); B219, 515 (1989);ADSGoogle Scholar
  697. [450a]
    A. Burrows, M. S. Turner and R. P. Brinkmann, Phys. Rev. D39, 1020 (1989).ADSGoogle Scholar
  698. [451]
    M. Fukugita, in Weak Interactions and Neutrinos — 1989, Proc. of the 12th International Workshop on Weak Interactions and Neutrinos, Sea of Galilee, 1989, ed. by P. Singer and G. Eilam, Nucl. Phys. B (Proc. Suppl.) 13, 401 (1990)Google Scholar
  699. [452]
    J. Preskill, M. B. Wise and F. Wilczek, Phys. Lett 120B, 127 (1983);Google Scholar
  700. L. F. Abbott and P. Sikivie, Phys. Lett 120B, 133 (1983);Google Scholar
  701. M. Dine and W. Fishier, Phys. Lett 120B, 137 (1983).Google Scholar
  702. [453]
    D. J. Gross, R. D. Pisaraki and L. G. Yaffe, Rev. Mod. Phys. 53, 43 (1981).ADSGoogle Scholar
  703. [454]
    P. Sikivie, Phys. Rev. Lett. 48, 1156 (1982).ADSGoogle Scholar
  704. [455]
    T. VV. B. Kibble, J. Phys. A9, 1387 (1976).ADSMATHGoogle Scholar
  705. [456]
    G. Lazarides and Q. Shah, Phys. Lett. 115B, 21 (1982).Google Scholar
  706. [457]
    S. M. Barr, D. B. Reiss and A. Zee, Phys. Lett. 116B, 227 (1982).Google Scholar
  707. [458]
    T. Maehara and T. Yanagida, Prog. Theor. Phys. 61, 1434 (1979);ADSGoogle Scholar
  708. R. N. Calm and H. Harari, Nucl. Phys. B176, 135 (1980).ADSGoogle Scholar
  709. [459]
    A. Zee, Phys. Lett. 93B, 389 (1980).Google Scholar
  710. [460]
    L. Wolfenstein, Nucl. Phys. B175, 93 (1980).ADSGoogle Scholar
  711. [461]
    R. N. Mohapatra and J. W. F. Valle, Phys. Rev. D34, 1642 (1986).MathSciNetADSGoogle Scholar
  712. [462]
    H. Fritzsch, Phys. Lett. 70B, 436 (1977); 73B, 317 (1978);Google Scholar
  713. Nucl. Phys. B155, 189 (1979).Google Scholar
  714. [463]
    M. Shin, Phys. Lett. B145, 285 (1984);Google Scholar
  715. H. Harari and Y. Nir, Phys. Lett. B195, 586 (1987);Google Scholar
  716. C. H. Albright, Phys. Lett. B227, 171 (1989).Google Scholar
  717. [464]
    S. Dimopoulos, L. J. Hall and S. Raby, Phys. Rev. Lett. 68, 1984 (1992);ADSGoogle Scholar
  718. V. Barger, M. S. Berger, T. Han and M. Zralek, Phys. Rev. Lett. 68, 3394 (1992).ADSGoogle Scholar
  719. [465]
    M. Fukugita, M. Tanimoto and T. Yanagida, Prog. Theor. Phys. 89, 263 (1993).ADSGoogle Scholar
  720. [466]
    R. E. Shrock, Nucl. Phys. B206, 359 (1982).ADSGoogle Scholar
  721. [467]
    S. T. Petcov, Yad, Fiz. 25, 641 (1977) [Sov. J. Nucl. Phys. 25, 340 (1977)];Google Scholar
  722. T. Goldman and G. J. Stephenson, Jr., Phys. Rev. D16, 2256 (1977);ADSGoogle Scholar
  723. K. Sato and M. Kobayashi, Prog. Theor. Phys. 58, 1775 (1977).ADSGoogle Scholar
  724. [468]
    J. Schechter and J. W. F. Valle, Phys. Rev. D24, 1883 (1981).ADSGoogle Scholar
  725. [469]
    B. Kayser, Phys. Rev. D26, 1662 (1982).ADSGoogle Scholar
  726. [470]
    J. E. Kim, Phys. Rev. D14, 3000 (1976);ADSGoogle Scholar
  727. M. A. Bég, W. J. Marciano and M. Ruderman, Phys. Rev. D17, 1395 (1978).Google Scholar
  728. [471]
    D. P. Stoker et al., Phys. Rev. Lett. 54, 1887 (1985).ADSGoogle Scholar
  729. [472]
    G. Beall, M. Bander and A. Soni, Phys. Rev. Lett. 48, 848 (1982).ADSGoogle Scholar
  730. [473]
    M. Fukugita and T. Yanagida, Phys. Rev. Lett. 58, 1807 (1987).ADSGoogle Scholar
  731. [474]
    A. Zee, Phys. Lett. 161B, 141 (1985).Google Scholar
  732. [475]
    M. Fukugita and T. Yanagida, Phys. Lett. 206B, 93 (1988).Google Scholar
  733. [476]
    J. W. F. Valle, Phys. Lett. 199B, 432 (1987).Google Scholar
  734. [477]
    M. B. Voloshin, Yad. Fiz. 48, 804 (1988) [Sov. J. Nucl. Phys. 48, 512 (1988)].Google Scholar
  735. [478]
    R. Barbieri and R. N. Mohapatra, Phys. Lett. 218B, 225 (1989);Google Scholar
  736. [478a]
    R. Barbieri and R. N. Mohapatra, J. Liu, Phys. Lett. 225B, 148 (1989).Google Scholar
  737. [479]
    M. Leurer and N. Marcus, Phys. Lett. B237, 81 (1990);Google Scholar
  738. K. S. Babu and R. N. Mohapatra, Phys. Rev. Lett. 63, 228 (1989);ADSGoogle Scholar
  739. K. S. Babu and R. N. Mohapatra, Phys. Rev. D42, 3778 (1990).ADSGoogle Scholar
  740. [480]
    H. Georgi and L. Randall, Phys. Lett. 244B, 196 (1990).Google Scholar
  741. [481]
    K. S. Babu and R. N. Mohapatra, Phys. Rev. Lett. 64, 1705 (1990);ADSGoogle Scholar
  742. G. Ecker, W. Grimus and H. Neufeld, Phys. Lett. B232, 217 (1990);Google Scholar
  743. D. Chang, W. Y. Keung and G. Senjanovic, Phys. Rev. D42, 1599 (1990);ADSGoogle Scholar
  744. D. Chang, W. Y. Keung, S. Lipovaca and G. Senjanovic, CERN-TH 6027–91 (1991).Google Scholar
  745. [482]
    S. M. Barr, E. M. Freire and A. Zee, Phys. Rev. Lett. 65, 2626 (1990).ADSGoogle Scholar
  746. [483]
    G. A. Bazilevskaya, Yu. I. Stozhkov and T. N. Charakhchyan, Pis’ma Zh. Eksp. Teor. Fiz. 35, 273 (1982) [JETP Lett. 35, 341 (1982)]; G. A. Bazilevskaya et al., Yad. Fiz. 39, 856 (1984) [Soviet J. Nucl. Phys. 39, 543 (1984)].ADSGoogle Scholar
  747. [484]
    J. N. Bahcall, G. B. Field and W. H. Press, Astrophys. J. 320, L69 (1987);ADSGoogle Scholar
  748. J. N. Bahcall and W. H. Press, Astrophys. J. 370, 730 (1991);ADSGoogle Scholar
  749. B. W. Filippone and P. Vogel, Phys. Lett. B246, 546 (1990);Google Scholar
  750. H. Nunokawa and H. Minakata, Int. J. Mod. Phys. A6, 2347 (1991);ADSGoogle Scholar
  751. J. W. Bieber, D. Seckel, T. Stanev and G. Steigman, Nature 348, 407 (1990).ADSGoogle Scholar
  752. [485]
    M. B. Voloshin and M. I. Vysotskii, Yad. Fiz. 44, 845 (1986)Google Scholar
  753. [485a]
    M. B. Voloshin and M. I. Vysotskii, [Sov. J. Nucl. Phys. 44, 544 (1986)];Google Scholar
  754. L. B. Okun, Yad. Fiz. 44, 847 (1986)Google Scholar
  755. L. B. Okun, [Sov. J. Nucl. Phys. 44, 546 (1986)];Google Scholar
  756. M. B. Voloshin, M. I. Vysotski and L. B. Okun, Yad. Fiz. 44, 677 (1986)Google Scholar
  757. M. B. Voloshin, M. I. Vysotski and L. B. Okun, [Sov. J. Nucl. Phys. 44, 440 (1986)];Google Scholar
  758. M. B. Voloshin, M. I. Vysotski and L. B. Okun, Zh. Eksp. Teor. Fiz. 91, 754 (1986)ADSGoogle Scholar
  759. M. B. Voloshin, M. I. Vysotski and L. B. Okun, [Sov. Phys. JETP 64, 446 (1986)].Google Scholar
  760. [486]
    A. Cisneros, Astrophys. Sp. Sci. 10, 87 (1971).ADSGoogle Scholar
  761. [487]
    R. Barbieri and G. Fiorentini, Nucl. Phys. B304, 909 (1988).ADSGoogle Scholar
  762. [488]
    W. A. Dziembowski and P. R. Goode, Astrophys. J. 347, 540 (1989).ADSGoogle Scholar
  763. [489]
    C. S. Lim and W. J. Marciano, Phys. Rev. D37, 1368 (1988);ADSGoogle Scholar
  764. [490]
    H. Minakata and H. Nunokawa, Phys. Rev. Lett. 63, 121 (1989);ADSGoogle Scholar
  765. J. Pulido, Phys. Lett. B251, 305 (1990).Google Scholar
  766. [491]
    C. S. Lim, M. Mori, Y. Oyama and A. Suzuki, Phys. Lett. B243, 389 (1990).Google Scholar
  767. [492]
    A. Suzuki, M. Mori, K. Numata and Y. Oyama, Phys. Rev. D43, 3557 (1991).ADSGoogle Scholar
  768. [493]
    M. Fukugita and T. Yanagida, Phys. Rev. Lett. 65, 1975 (1990).ADSGoogle Scholar
  769. [494]
    K. S. Babu, R. N. Mohapatra and I. Z. Rothstein, Phys. Rev. D44, 2265 (1991);ADSGoogle Scholar
  770. Y. Ono and D. Suematsu, Phys. Lett. B271, 165 (1991);Google Scholar
  771. E. Kh. Akhmedov, A. Lanza, and S. T. Petcov, Phys. Lett. B303, 85 (1993).Google Scholar
  772. [495]
    K. Sato and M. Kobayashi, Ref.[467]; A. De Rujúla and S. Glashow, Phys. Rev. Lett. 45, 942 (1980).ADSGoogle Scholar
  773. [496]
    J. Silk and A. Stebbins, Astrophys. J. 269, 1 (1983);ADSGoogle Scholar
  774. M. Kawasaki and K. Sato, Phys. Lett. 169B, 280 (1986).Google Scholar
  775. [497]
    J. Maalampi, K. Mursula and M. Roos, Phys. Rev. Lett. 56, 1031 (1986);ADSGoogle Scholar
  776. J. Murthy and R. C. Henry, Phys. Rev. Lett. 58, 1581 (1987).ADSGoogle Scholar
  777. [498]
    M. Fukugita and M. Kawasaki, Astrophys. J. 353, 384 (1990).ADSGoogle Scholar
  778. [499]
    J. C. Mather et al., COBE preprint 93–01 (1993).Google Scholar
  779. [500]
    P. Hut, Phys. Lett. 69B, 85 (1977);Google Scholar
  780. D. A. Dicus, E. W. Kolb, V. L. Teplitz and R. V. Wagoner, Phys. Rev. D17, 1529 (1978);ADSGoogle Scholar
  781. S. Miyama and K. Sato, Prog. Theor. Phys. 60, 1703 (1978);ADSGoogle Scholar
  782. E. W. Kolb and R. J. Scherrer Phys. Rev. D25, 1481 (1982);ADSGoogle Scholar
  783. M. Kawasaki, N. Terasawa and K. Sato, Phys. Lett. 178, 71 (1986).Google Scholar
  784. [501]
    R. Cowsik, Phys. Rev. Lett. 39, 784 (1977).ADSGoogle Scholar
  785. [502]
    S. W. Falk and D. N. Schramm, Phys. Lett. 79B, 511 (1978).Google Scholar
  786. [503]
    F. von Feilitzsch and L. Oberauer, Phys. Lett. 200B, 580 (1988);Google Scholar
  787. E. L. Chupp, W. T. Vestrand and C. Reppin, Phys. Rev. Lett. 62, 505 (1989);ADSGoogle Scholar
  788. E. VV. Kolb and M. S. Turner, Phys. Rev. Lett. 62, 509 (1989).ADSGoogle Scholar
  789. [504]
    D. A. Krakauer et al., Phys. Rev. D44, R6 (1991);ADSGoogle Scholar
  790. J. S. Frank et al., Phys. Rev. D24, 2001 (1981).ADSGoogle Scholar
  791. [505]
    J. Morgan, Phys. Lett. 102B, 247 (1981);Google Scholar
  792. [505]
    J. Morgan, Mon. Not. Roy. Astr. Soc. 195, 173 (1981).ADSGoogle Scholar
  793. [506]
    E. Asseo and H. Sol, Phys. Rep. 148C, 307 (1987);ADSGoogle Scholar
  794. see also, P. Coles, Comm. Astrophys. 16, 45 (1992) for cosmological implication of the primordial magnetic field.ADSGoogle Scholar
  795. [507]
    A. D. Sakharov, Pis’ma Zh. Eksp. Teor. Fiz. 5, 32 (1967) [JETP Lett. 5, 24 (1967)].Google Scholar
  796. [508]
    A. Yu. Ignatiev, N. V. Krasnikov, V. A. Kuzmin and A. N. Tavkhelidze, in Neutrino 77, Proc. of the International Conference on Neutrino Physics and Neutrino Astrophysics, Baksan Valley, 1977, ed. by M. A. Markov et al. (Nauka, Moscow, 1978) vol. II, p.293; Phys. Lett. 76B, 436 (1978).Google Scholar
  797. [509]
    M. Yoshimura, Phys. Rev. Lett. 41, 281 (1978).ADSGoogle Scholar
  798. [510]
    D. Toussaint, S. B. Treiman, F. Wilczek and A. Zee, Phys. Rev. D19, 1036 (1979);ADSGoogle Scholar
  799. S. Weinberg, Phys. Rev. Lett. 42, 850 (1979);ADSGoogle Scholar
  800. M. Yoshimura, Phys. Lett. 88B, 294 (1979).Google Scholar
  801. [511]
    T. Yanagida and M. Yoshimura, Phys. Rev. Lett. 45, 71 (1980).ADSGoogle Scholar
  802. [512]
    V. A. Kuzmin, V. A. Rubakov and M. E. Shaposhnikov, Phys. Lett. 155B, 36 (1985)Google Scholar
  803. see also S. Dimopoulos and L. Susskind, Phys. Rev. D18, 4500 (1978).ADSGoogle Scholar
  804. [513]
    A. D. Dolgov, Phys. Rep. 222, 309 (1992).ADSGoogle Scholar
  805. [514]
    M. Fukugita, T. Yanagida. and M. Yoshimura, Phys. Lett. 106B, 183 (1981).Google Scholar
  806. [515]
    A. D. Dolgov, Yad. Fiz. 32, 1606 (1980) [Sov. J. Nucl. Phys. 32, 831 (1980)].Google Scholar
  807. [516]
    J. N. Fry, K. A. Olive and M. S. Turner, Phys. Rev. Lett. 45, 2074 (1980);ADSGoogle Scholar
  808. Phys. Rev. D22, 2953; 2977 (1980).Google Scholar
  809. [517]
    T. Yanagida and M. Yoshimura, Phys. Rev. D23, 2048 (1981).ADSGoogle Scholar
  810. [518]
    For a review, S. Coleman, in The Whys of Subnuclear Physics, Erice, 1977, ed. by A. Zichichi (Plenum Press, New York 1979) p.805.Google Scholar
  811. [519]
    J. Arafune, P. G. O. Freund and C. Goebel, J. Math. Phys. 16, 433 (1975).MathSciNetADSGoogle Scholar
  812. [520]
    N. H. Christ, Phys. Rev. D21, 1591 (1980).MathSciNetADSGoogle Scholar
  813. [521]
    F. R. Klinkhamer and N. S. Manton, Phys. Rev. D30, 2212 (1984);ADSGoogle Scholar
  814. see also N. S. Manton, Phys. Rev. D28, 2019 (1983).MathSciNetADSGoogle Scholar
  815. [522]
    J. S. Langer, Ann. Phys. (NY) 54, 258 (1969).ADSGoogle Scholar
  816. [523]
    I. Affleck, Phys. Rev. Lett. 46, 388 (1981).MathSciNetADSGoogle Scholar
  817. [524]
    P. Arnold and L. McLerran, Phys. Rev. D36, 581 (1987);ADSGoogle Scholar
  818. A. Ringwald, Phys. Lett. B201, 510 (1988);Google Scholar
  819. D. Yu. Grigoriev and V. A. Rubakov, Nucl. Phys. B299, 67 (1988);ADSGoogle Scholar
  820. S. Yu. Khlebnikov and M. E. Shaposhnikov, Nucl. Phys. B308, 885 (1988).ADSGoogle Scholar
  821. [525]
    T. Akiba, H. Kikuchi and T. Yanagida, Phys. Rev. D40, 588 (1989).ADSGoogle Scholar
  822. [526]
    S. Yu. Khlebnikov and M. E. Shaposhnikov, Nucl. Phys. B308, 885 (1988).ADSGoogle Scholar
  823. [527]
    D. Yu. Grigoriev, V. A. Rubakov and M. E. Shaposhnikov, Phys. Lett. 216B, 172 (1989);Google Scholar
  824. Nucl. Phys. B326, 737 (1989).Google Scholar
  825. [528]
    J. Ambjørn, T. Askgaard, H. Porter and M. E. Shaposhnikov, Nucl. Phys. B353, 346 (1991).ADSGoogle Scholar
  826. [529]
    J. A. Harvey and M. S. Turner, Phys. Rev. D42, 3344 (1990).ADSGoogle Scholar
  827. [530]
    V. A. Kuzmin, V. A. Rubakov and M. E. Shaposhnikov, Phys. Lett. 191B, 171 (1987);Google Scholar
  828. [531]
    M. Shaposhnikov, in Lattice 91, Proc. of the International Symposium on Lattice Field Theory, Tsukuba, 1991, ed. by M. Fukugita et al., Nucl. Phys. B (Proc. Suppl.) 26, 78 (1992).Google Scholar
  829. [532]
    M. Fukugita and T. Yanagida, Phys. Rev. D42, 1285 (1990).ADSGoogle Scholar
  830. [533]
    B. A. Campbell, S. Davidson, J. Ellis and K. A. Olive, Phys. Lett. B256, 457 (1991);Google Scholar
  831. Astroparticle Phys. 1, 77 (1992).Google Scholar
  832. [534]
    W. Fischler, G. F. Giudice, R. G. Leigh and S. Paban, Phys. Lett. B258, 45 (1991);Google Scholar
  833. A. E. Nelson and S. M. Barr, Phys. Lett. B246, 141 (1990).Google Scholar
  834. [535]
    L. E. Ibanez and F. Quevedo, Phys. Lett. B283, 261 (1992).Google Scholar
  835. [536]
    V. A. Kuzmin, Pisma Zh. Eksp. Teor. Fiz. 12, 335 (1970) [JETP Lett 12, 228 (1970)];ADSGoogle Scholar
  836. R. N. Mohapatra and R. E. Marshak, Phys. Rev. Lett. 44, 1316 (1980).ADSGoogle Scholar
  837. [537]
    M. Baldo-Ceolin et al. Phys. Lett. 236, 95 (1990).Google Scholar
  838. [538]
    M. Takita et al, Phys. Rev. D34, 902 (1986);ADSGoogle Scholar
  839. C. Berger et al., Phys. Lett. B24, 237 (1990);Google Scholar
  840. see C. B. Dover, A. Gal and J. M. Richard, Phys. Rev. D27, 1090 (1983) for a nuclear physic for the binding effect.ADSGoogle Scholar
  841. [539]
    M. E. Shaposhnikov, Nucl. Phys. B287, 757 (1987); B299, 797 (1988).ADSGoogle Scholar
  842. [540]
    J. Ambjørn, M. L. Laursen and M. E. Shaposhnikov, Nucl. Phys. B316, 483 (1989);ADSGoogle Scholar
  843. L. McLerran, Phys. Rev. Lett. 62, 1075 (1989);ADSGoogle Scholar
  844. N. Turok and J. Zadrozny, Phys. Rev. Lett. 65, 2331 (1990);ADSGoogle Scholar
  845. L. McLerran, M. Shaposhnikov, N. Turok and M. Voloshin, Phys. Lett. B256, 451 (1991);Google Scholar
  846. M. Dine, P. Huet and R. Singleton, Jr., Nucl. Phys. B375, 625 (1992).ADSGoogle Scholar
  847. [541]
    A. G. Cohen, D. B. Kaplan and A. E. Nelson, Nucl. Phys. B349, 727 (1991);ADSGoogle Scholar
  848. A. E. Nelson, D. B. Kaplan and A. G. Cohen, Nucl. Phys. B373, 453 (1992).ADSGoogle Scholar
  849. [542]
    M. Fukugita and T. Yanagida, Phys. Lett. B174, 45 (1986).Google Scholar
  850. [543]
    M. Dine, R. G. Leigh, P. Huet, A. Linde and D. Linde, Phys. Rev. D46, 550 (1992).ADSGoogle Scholar
  851. [544]
    A. I. Bochkarev, S. V. Kuzmin and M. E. Shaposhnikov, Phys. Lett. B244, 275 (1990);J. R. Espinosa, M. Quiros and F. Zwirner, CERN preprint TH6833/93 (1993).Google Scholar
  852. [545]
    M. A. Luty, Phys. Rev. D45, 455 (1992).ADSGoogle Scholar
  853. [546]
    B. A. Campbell, S. Davidson, J. Ellis and K. A. Olive, Phys. Lett. B257, 457 (1991).Google Scholar
  854. [547]
    H. Murayama, H. Suzuki, T. Yanagida and J. Yokoyama, Phys. Rev. Lett. 70, 1912 (1993).ADSGoogle Scholar
  855. [548]
    B. A. Campbell, S. Davidson, and K. Olive, Nucl. Phys. B399, 111 (1993).ADSGoogle Scholar
  856. [549]
    A. Bohr and B. R. Mottelson, Nuclear Structure, (W. A. Benjamin, NY, 1969) vol.1.Google Scholar
  857. [550]
    M. Morita, Beta Decay and Muon Capture (W. A. Benjamin, Reading (U.S.A.), 1973).Google Scholar
  858. [551]
    R. J. Blin-Stoyle, Fundamental Interactions and the Nucleus (North-Holland, Amsterdam, 1973).Google Scholar
  859. [552]
    R. N. Mohapatra and B. Sakita, Phys. Rev. D21, 1062 (1980);MathSciNetADSGoogle Scholar
  860. F. Wilczek and A. Zee, Phys. Rev. D25, 553 (1982).ADSGoogle Scholar

Copyright information

© Springer Japan 1994

Authors and Affiliations

  • Masataka Fukugita
    • 1
  • Tsutomu Yanagida
    • 2
  1. 1.Yukawa Institute for Theoretical PhysicsKyoto UniversityJapan
  2. 2.Department of PhysicsTohoku UniversityJapan

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