Advertisement

Applications of Three-Body Methods to Many-Body Hadronic Systems

  • E. F. Redish
Part of the Topics in Current Physics book series (TCPHY, volume 2)

Abstract

The three-body methods discussed in previous chapters have been applied to hadronic systems with considerable success. The applications are of two types: calculations of the properties of three-hadron systems, and studies of three-body reaction mechanisms in many-hadron systems (N > 3). The former has been extensively reviewed at recent conferences [6.1–4] and in current books and monographs [6.5–7], while reviews of the latter have been few and far between [6.8,9]. In this chapter, we restrict our scope to the application of three-body methods to scattering and reactions in nonrelativistic hadronic systems with more than three particles.

Keywords

Elastic Scattering Optical Potential Distorted Wave Spectroscopic Factor Distort Wave Born Approximation 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 6.1
    7th Intern.Conf. Few Body Problems in Nuclear and Particle Physics, Delhi, India, Dec.29, 1975-Jan.4, 1976, to be publishedGoogle Scholar
  2. 6.2
    Few Body Problems in Nuclear and Partiale Physics, ed. by R. Slobodrian et al. (University of Laval Press, Quebec 1976)Google Scholar
  3. 6.3
    Few Particle Problems, ed. by I. Slaus et al. (American Elsevier, New York 1972)Google Scholar
  4. 6.4
    The Nuclear Many-Body Problem, ed. by F. Cologero, C. Ciofi Degli Atti (Editrice Compositori, Bologna 1972)Google Scholar
  5. 6.5
    J.S. Levinger: in Nuclear Physics, ed. by G. Höhler (Springer-Verlag, Berlin, Heidelberg, New York 1974)Google Scholar
  6. 6.6
    E.W. Schmid, H. Ziegelmann: The Quantum Mechanical Three-Body Problem (Per-gamon Press, Oxford 1974)Google Scholar
  7. 6.7
    Y.E. Kim, A. Tubis: Ann. Rev. Nucl. Sci. 24, 69 (1974)ADSCrossRefGoogle Scholar
  8. 6.8
    A.N. Mitra: Adv. Nucl. Phys. 3, 1 (1970)ADSGoogle Scholar
  9. 6.9
    V. Vanzani: Extended Seminar on Nuclear Physics, Extended Seminar on Nuclear PhysicsSept. 17-Dec.21, 1973, ICTP, TriesteGoogle Scholar
  10. 6.10
    J.A. Maruhn, C.Y. Wong, T.A. Welton: Bull. Am. Phys. Soc. II, 20, 1158 (1975)Google Scholar
  11. 6.11
    P.E. Hodgson: Nuclear Reactions and Nuclear Structure (Clarendon Press, Oxford 1971)Google Scholar
  12. 6.12
    W. Tobocman: Theory of Direct Nuclear Reactions (Oxford University Press, Oxford, 1961)Google Scholar
  13. 6.13
    N. Austern: Direct Nuclear Reaction Theories (Wiley-Interscience, New York 1970)Google Scholar
  14. 6.14
    D. Jackson: Nuclear Reactions (Methuen, London 1970)Google Scholar
  15. 6.15
    F.S. Levin, H. Feshbach: Reaction Dynamics (Gordon and Breach, New York 1973)Google Scholar
  16. 6.16
    A.N. Mitra: Phys. Rev. 139B, 1472 (1965)ADSCrossRefGoogle Scholar
  17. 6.17
    L.R. Dodd, K.R. Greider: Phys. Rev. 146, 675 (1966)MathSciNetADSCrossRefGoogle Scholar
  18. 6.18
    E.O. Alt, P. Grassberger, W. Sandhas: Nucl. Phys. A139, 209 (1969)ADSGoogle Scholar
  19. 6.19
    J.V. Noble: Phys. Rev. 157, 939 (1967)ADSCrossRefGoogle Scholar
  20. 6.20
    C.A. Edvi-nies: Nucl. Phys. A164, 385 (1971)ADSGoogle Scholar
  21. 6.21
    D. Bouldin, F.S. Levin: Phys. Lett. 37B, 145 (1971)ADSGoogle Scholar
  22. 6.22
    E.F. Redish: Phys. Rev. C10, 67 (1974)ADSGoogle Scholar
  23. 6.23
    I.H. Sloan: Phys. Rev. C6, 1945 (1972)MathSciNetADSGoogle Scholar
  24. 6.24
    Gy. Bencze: Nucl. Phys. A210, 568 (1973)ADSGoogle Scholar
  25. 6.25
    E.F. Redish: Nucl. Phys. A225, 16 (1974)ADSGoogle Scholar
  26. 6.26
    P. Grassberger, W. Sandhas: Z. Physik 220, 29 (1969)ADSMATHCrossRefGoogle Scholar
  27. 6.27
    A.N. Mitra, V.S. Bhasin: Phys. Rev. 131, 1265 (1963)ADSCrossRefGoogle Scholar
  28. 6.28
    R.D. Amado: Phys. Rev. 122, 696 (1961)MathSciNetADSMATHCrossRefGoogle Scholar
  29. 6.29
    L. Rosenberg: Phys. Rev. 135, B715 (1964)ADSCrossRefGoogle Scholar
  30. 6.30
    R. Aaron, P.E. Shanley: Phys. Rev. 142, 608 (1966)ADSCrossRefGoogle Scholar
  31. 6.31
    P.E. Shanley, R. Aaron: Ann. Phys. (N.Y.) 44, 363 (1967)ADSCrossRefGoogle Scholar
  32. 6.32
    A.S. Reiner, A.I. Jaffe: Phys. Rev. 161, 935 (1967)ADSCrossRefGoogle Scholar
  33. 6.33
    A.I. Baz, V.F. Demin, I.I. Kuz’min: Sov. J. Nucl. Phys. (U.S.A.) 4, 815 (1967)Google Scholar
  34. 6.34
    C. Gignoux: J. Physique 30, 19 (1969)Google Scholar
  35. 6.35
    D.P. Bouldin, F.S. Levin: Phys. Lett 42B, 167 (1972)ADSGoogle Scholar
  36. 6.36
    K. King, B.H.J. McKellar: Phys. Rev. Lett. 30, 562 (1973)ADSCrossRefGoogle Scholar
  37. 6.37
    K. King, B.H.J. McKellar: Phys. Rev. C9, 1309 (1974)ADSGoogle Scholar
  38. 6.38
    B.H.J. McKellar: J. Phys. G: Nucl. Phys. 2, 180 (1975)ADSCrossRefGoogle Scholar
  39. 6.39
    D.P. Bouldin: Ph.D. Thesis, Brown University 1972Google Scholar
  40. 6.40
    M. MacFarlane: In Proc. Intern. Conf. Properties of Nuclear States, Montreal, Canada, August 1969, ed. by M. Harvey (U. de Montreal Press, Montreal 1969), p. 385Google Scholar
  41. 6.41
    S.T. Butler, R.G.L. Hewitt, B.H.J. McKellar, R.M. May: Ann. Phys. (N.Y.) 43, 282 (1967)ADSCrossRefGoogle Scholar
  42. 6.42
    A.I. Baz, V.F. Demin, I.I. Kuz’min: Sov. J. Nucl. Phys. (U.S.A.) 4, 525 (1967)Google Scholar
  43. 6.43
    R. Newton: J. Math. Phys. 1, 319 (1960)ADSMATHCrossRefGoogle Scholar
  44. 6.44
    I.H. Sloan: Phys. Lett. 34B, 243 (1971)ADSGoogle Scholar
  45. 6.45
    I. Lovas, J. Revai : Acta Phys. Acad. Sci. Hung. 25, 307 (1968)CrossRefGoogle Scholar
  46. 6.46
    P. Beregi, I. Lovas, J. Revai: Ann. Phys. (N.Y.) 61, 57 (1970)ADSCrossRefGoogle Scholar
  47. 6.47
    P. Beregi, I. Lovas: Phys. Lett. 33B, 150 (1970)ADSGoogle Scholar
  48. 6.48
    I. Lovas: Magyar Fiz. Folyóirat 19, 209 (1971)Google Scholar
  49. 6.49
    P. Beregi: Ref. [6.3], p.318Google Scholar
  50. 6.50
    I. Lovas, E. Dénes: Phys. Rev. C7, 937 (1973)ADSGoogle Scholar
  51. 6.51
    P. Beregi, I. Lovas, Z. Physik 241, 410 (1971)ADSCrossRefGoogle Scholar
  52. 6.52
    P. Beregi: Z. Physik 257, 440 (1972)ADSCrossRefGoogle Scholar
  53. 6.53
    W.A. Friedman: Ann. Phys. (N.Y.) 45, 265 (1967)ADSCrossRefGoogle Scholar
  54. 6.54
    H. Tyren, P. Hillman, Th.A.J. Maris: Nuovo Cim. 6, 1507 (1957)CrossRefGoogle Scholar
  55. 6.55
    G. Jacob, Th.A.J. Maris: Rev. Mod. Phys. 38, 121 (1966), 45, 6 (1973)ADSCrossRefGoogle Scholar
  56. 6.56
    S.K. Young, E.F. Redish: Phys. Rev. C10, 498 (1974)ADSGoogle Scholar
  57. 6.57
    S.K. Young: Ph.D. Thesis, University of Maryland, 1973Google Scholar
  58. 6.58
    R. Koshel: in Ref. [6.126]Google Scholar
  59. 6.59
    T.K. Lim, I.E. McCarthy: Phys. Rev. 133, B1006 (1964)ADSCrossRefGoogle Scholar
  60. 6.60
    P. Kazaks, R. Koshel: Phys. Rev. C1, 1906 (1970)ADSGoogle Scholar
  61. 6.61
    H.G. Pugh et al.: Phys. Lett. 46B, 192 (1973)ADSGoogle Scholar
  62. 6.62
    R.D. Amado, T. Takahashi: Phys. Rev. C12, 1134 (1975)ADSGoogle Scholar
  63. 6.63
    L.D. Rickertsen, P.D. Kunz: Phys. Lett. 47B, 11 (1973)ADSGoogle Scholar
  64. 6.64
    N.C. Francis, K.M. Watson: Phys. Rev. 92, 291 (1953)ADSMATHCrossRefGoogle Scholar
  65. 6.65
    H. Feshbach: Ann. Phys. (N.Y.) 5, 357 (1958); 19, 287 (1962)MathSciNetADSMATHCrossRefGoogle Scholar
  66. 6.66
    A.K. Kerman, H. McManus, R.M. Thaler: Ann. Phys. (N.Y.) 8, 551 (1959)ADSCrossRefGoogle Scholar
  67. 6.67
    J.S. Bell, E.J. Squires: Phys. Rev. Lett. 3, 96 (1959)ADSCrossRefGoogle Scholar
  68. 6.68
    M. Goldberger, K.M. Watson: Collision Theory (Wiley, New York 1964)MATHGoogle Scholar
  69. 6.69
    E.F. Redish: Nucl. Phys. A235, 82 (1974)ADSGoogle Scholar
  70. 6.70
    F.E. Bertrand, R.W. Peele: Phys. Rev. C8, 1045 (1973)ADSGoogle Scholar
  71. 6.71
    J.R. Wu et al.: in Clustering Phenomena in Nuclei, U.S.E.R.D.A. publication ORO-4856–26 (1975), p.360Google Scholar
  72. 6.72
    N.S. Wall, P.G. Roos: Phys. Rev. 150, 811 (1969)ADSCrossRefGoogle Scholar
  73. 6.73
    D. Corley et al.: Nucl. Phys. A184, 437 (1972)ADSGoogle Scholar
  74. 6.74
    F.R. Kroll, N.S. Wall: Phys. Rev. C1, 138 (1970)ADSGoogle Scholar
  75. 6.75
    P.C. Tandy, E.F. Redish, D. Bollé: Phys. Rev. Lett. 35, 921 (1975)ADSCrossRefGoogle Scholar
  76. 6.76
    P.C. Tandy, E.F. Redish, D. Bollé, in Ref. [6.1], and University of Maryland Technical Rpt., to be publishedGoogle Scholar
  77. 6.77
    G.M. Lerner, E.F. Redish: Nucl. Phys. A193, 565 (1972)ADSGoogle Scholar
  78. 6.78
    G.M. Lerner: Ph.D. Thesis, University of Maryland, 1971Google Scholar
  79. 6.79
    R.V. Reid: Ann. Phys. (N.Y.) 50, 411 (1968)ADSCrossRefGoogle Scholar
  80. 6.80
    R.S. Mackintosh, A.M. Kobos: “The Real and Imaginary Proton Optical Potential: The Importance of Deuteron Channels”, preprintGoogle Scholar
  81. 6.81
    R.S. Mackintosh: Nucl. Phys. A230, 195 (1974)ADSGoogle Scholar
  82. 6.82
    E. Kujawski, M. Aitken: Nucl. Phys. A221, 60 (1974)ADSGoogle Scholar
  83. 6.83
    R.H. Landau, A.W. Thomas: Phys. Lett. 61B, 361 (1976)ADSGoogle Scholar
  84. 6.84
    P. Desgrolard, T.F. Hammann: Phys. Rev. C6, 482 (1972)ADSGoogle Scholar
  85. 6.85
    R. Seki, C. Wiegand: Ann. Rev. Nucl. Sci. 25, 241 (1975)ADSCrossRefGoogle Scholar
  86. 6.86
    M. Alberg, E.M. Henley, L. Wilets: Ann. Phys. (N.Y.) 96, 43 (1976)ADSCrossRefGoogle Scholar
  87. 6.87
    M. Krell: Phys. Rev. Lett. 26, 584 (1971)ADSCrossRefGoogle Scholar
  88. 6.88
    R. Seki: Phys. Rev. C5, 1196 (1972)ADSGoogle Scholar
  89. 6.89
    M. Krell, T. Ericson: J. Comput. Phys. 3, 202 (1968)ADSCrossRefGoogle Scholar
  90. 6.90
    A.R. Kunselman, R. Seki: Phys. Rev. C8, 2492 (1973)ADSGoogle Scholar
  91. 6.91
    S.D. Bloom, M.H. Johnson, E. Teller: Phys. Rev. Lett 23, 28 (1969)ADSCrossRefGoogle Scholar
  92. 6.92
    U.K. Kim: Phys. Rev. Lett. 19, 1074 (1967)ADSCrossRefGoogle Scholar
  93. 6.93
    W.A. Bardeen, E.W. Torigo: Phys. Lett. 38B, 135 (1972)ADSGoogle Scholar
  94. 6.94
    V. Chaloupka et al.: Phys. Lett. 50B, 1 (1974)Google Scholar
  95. 6.95
    J. Negele; Phys. Rev. C1, 1260 (1970)ADSGoogle Scholar
  96. 6.96
    G. Baur, D. Trautmann: Nucl. Phys. A208, 261 (1973)ADSGoogle Scholar
  97. 6.97
    Gy. Bencze: Ann. Acad, Sci. Fennicae, Ser. A. 194 (1966)Google Scholar
  98. 6.98
    Gy. Bencze, I. Szentpetery: Phys. Lett. 30B, 446 (1969)ADSGoogle Scholar
  99. 6.99
    J. Testoni, L.C. Gomes: Nucl. Phys. 89, 288 (1966)CrossRefGoogle Scholar
  100. 6.100
    K. Ueta, K. Hara: Z. Physik 248, 311 (1971)ADSCrossRefGoogle Scholar
  101. 6.101
    R.C. Johnson, P.J.R. Soper: Phys. Rev. C1, 976 (1970)ADSGoogle Scholar
  102. 6.102
    J.D. Harvey, R.C. Johnson: J. Phys. A. 7, 2017, (1974)ADSCrossRefGoogle Scholar
  103. 6.103
    R.C. Johnson, P.C. Tandy: Nucl. Phys. A235, 56 (1974)ADSGoogle Scholar
  104. 6.104
    G.H. Rawitscher: Phys. Rev. 163, 1223 (1967)ADSCrossRefGoogle Scholar
  105. 6.105
    G.H. Rawitscher: Phys. Rev. Lett. 20, 673 (1968)ADSCrossRefGoogle Scholar
  106. 6.106
    G.H. Rawitscher, S.N. Mukherjee: Phys. Rev. 181, 1518 (1969)ADSCrossRefGoogle Scholar
  107. 6.107
    G.H. Rawitscher, S.N. Mukherjee: Ann. Phys. (N.Y.) 68, 57 (1971)ADSCrossRefGoogle Scholar
  108. 6.108
    S. Watanabe: Nucl. Phys. 8, 484 (1958)CrossRefGoogle Scholar
  109. 6.109
    G.H. Rawitscher: Phys. Rev. C9, 2210 (1974)ADSGoogle Scholar
  110. 6.110
    G.H. Rawitscher: Phys. Rev. C11, 1152 (1975)ADSGoogle Scholar
  111. 6.111
    J.P. Farrell Jr., C.M. Vincent, N. Austern: Ann. Phys. (N.Y.) 96, 333 (1976)ADSCrossRefGoogle Scholar
  112. 6.112
    G.L. Wales, R.C. Johnson: University of Maryland Technical Rpt. 76–127, to be publishedGoogle Scholar
  113. 6.113
    J.P. Farrell, Jr.: Ph.D. Thesis, University of Pittsburgh, 1974Google Scholar
  114. 6.114
    G.R. Satchler: Phys. Rev. C4, 1485 (1971); also see correction in Ref. [6.112]ADSGoogle Scholar
  115. 6.115
    M.D. Cooper, W.F. Hornyak, P.G. Roos: Nucl. Phys. A218, 249 (1974)ADSGoogle Scholar
  116. 6.116
    P.G. Roos et al.: Nucl. Phys. A255, 187 (1975)ADSGoogle Scholar
  117. 6.117
    J.L. Gammel, B.J. Hill, R.M. Thaler: Phys. Rev. 119, 267 (1960)ADSCrossRefGoogle Scholar
  118. 6.118
    P.E. Shanley: Phys. Rev. 187, 1328 (1969)ADSCrossRefGoogle Scholar
  119. 6.119
    K.A.-A. Hamza, S. Edwards: Phys. Rev. 181, 1494 (1969)ADSCrossRefGoogle Scholar
  120. 6.120
    Gy. Bencze: “Three-Body Model Calculations for the Deuteron Nucleus Collision”, unpublished preprint, Finnish Summer School, Liperi, 1973Google Scholar
  121. 6.121
    Gy. Bencze: Nucl. Phys. A196, 135 (1972)ADSGoogle Scholar
  122. 6.122
    L. Rosenberg: Phys. Rev. C13, 1406 (1976)ADSGoogle Scholar
  123. 6.123
    K.H. Yang, W.J. Gerace, J.F. Walker: Nucl. Phys. A240, 189 (1975); A242, 365 (1975)ADSGoogle Scholar
  124. 6.124
    K.H. Yang: Ph.D. Thesis, University of Massachusetts, Amherst, 1975Google Scholar
  125. 6.125
    R.D. Amado, J.V. Noble: Phys. Rev. 185, 1993 (1969)ADSCrossRefGoogle Scholar
  126. 6.126
    Symp. Momentum Space Wave Functions in Atoms, Molecules, and Nuclei, Bloomington, Indiana, ed. by R. Bonham et al., May 31-June 4, 1976, to be publishedGoogle Scholar
  127. 6.127
    R.G. Newton: Scattering Theory of Waves and Particles (McGraw Hill, New York 1966)Google Scholar
  128. 6.128
    A.M. Gleeson, W.J. Meggs, M. Parkinson: Phys. Rev. Lett. 25, 74 (1970)ADSCrossRefGoogle Scholar
  129. 6.129
    Z. Gromadzki, J.V. Noble: Phys. Lett. 51B, 9 (1974)ADSGoogle Scholar
  130. 6.130
    E.F. Redish: Phys. Rev. Lett 31, 617 (1973)ADSCrossRefGoogle Scholar
  131. 6.131
    E.F. Redish, G.J. Stephenson Jr., G.M. Lerner: Phys. Rev. C2, 1665 (1970)ADSGoogle Scholar
  132. 6.132
    G.J. Stephenson Jr., E.F. Redish, G.M. Lerner, M.I. Haftel: Phys. Rev. C6, 1559 (1972)ADSGoogle Scholar
  133. 6.133
    R.J. Bhowmik, C.C. Chang, P.G. Roos, H.D. Holmgren: Nucl. Phys. A226, 365 (1974)ADSGoogle Scholar
  134. 6.134
    P.G. Roos: Phys. Rev. C9, 2437 (1974)ADSGoogle Scholar
  135. 6.135
    V. Vanzani: Nuovo Cim. 16A, 449 (1973)ADSCrossRefGoogle Scholar
  136. 6.136
    N.S. Wall: Univ. of Maryland Technical Rpt. 76–060, 1975, unpublishedGoogle Scholar
  137. 6.137
    T. Revai: Nucl. Phys. A205, 20 (1973)ADSGoogle Scholar
  138. 6.138
    J.D. Harvey, R.C. Johnson: Phys. Rev. C3, 636 (1971)ADSGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1977

Authors and Affiliations

  • E. F. Redish

There are no affiliations available

Personalised recommendations