Investigations of Superheavy Quasiatoms via Spectroscopy of δ Rays and Positrons

  • Hartmut Backe
  • Christophor Kozhuharov
Part of the Physics of Atoms and Molecules book series (IAUT, volume 18)

Abstract

There exists a long-standing and very interesting problem in atomic physics, namely, the question: What is the binding energy of an electron if the strength of the Coulomb potential exceeds Zα = 1? According to the Dirac-Sommerfeld fine-structure formula for a point charge
$$E = {m_e}{c^2}{[1 - {(Z\alpha )^2}]^{1/2}}$$
(1)
the total energy of the lowest bound Is-state becomes imaginary for Zα > 1. But even as early as 1945 it was realized(59) that this property of Eq. (1) is caused by the singularity of the Coulomb potential at the origin. Assuming a realistic charge distribution of the nucleus there is no restriction suc as Zα < 1 for the binding energy. Recent calculations show (cf., e.g., Ref. 81) that the binding energy exceeds 2mec2 = 1.022 MeV at a critical charge Zcr ≃ 173.

Keywords

Uranium 208Pb 

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References

  1. 1.
    P. Armbruster, H.-H. Behnke, S. Hagmann, D. Liesen, F. Folkmann, and P. H. Mokler, Z. Phys. A288, 277 (1978).ADSGoogle Scholar
  2. 2.
    P. Armbruster and P. Kienle, Z. Phys. A291, 399 (1979).ADSGoogle Scholar
  3. 3.
    H. Backe, Nordic Spring Symposium on Atomic Inner Shell Phenomena, Geilo, Norway, April 17-21, 1978, Lecture Notes, Vol. II, p. 191; H. Backe, in Selected Topics in Nuclear Structure, J. Styczen and R. Kulessa, Eds., Uniwersytet Jagiellonski, Krakow (1978), Vol. 2, p. 823.Google Scholar
  4. 4.
    H. Backe, in Trends in Physics 1978, M. M. Woolfson, Ed., Adam Hilger Ltd., Bristol (1979), p. 445.Google Scholar
  5. 5.
    H. Backe, in XVIII International Winter Meeting on Nuclear Physics, Bormio, Jan. 21-26, 1980 (University of Milan, ed.), Suppl. No. 13 (1980) 809.Google Scholar
  6. 6.
    H. Backe, Present Status and Aims of Quantum Electrodynamics, Lecture Notes in Physics, Vol. 143, Springer-Verlag, Berlin (1981), p. 277.Google Scholar
  7. 7.
    H. Backe, H. Bokemeyer, E. Kankeleit, E. Kuphal, Y. Nakayama, L. Richter, and R. Willwater, Laborbericht Nr. 67, Institut fur Kernphysik der TH Darmstadt (1975).Google Scholar
  8. 8.
    H. Backe, W. Bonin, W. Engelhardt, E. Kankeleit, P. Senger, F. Weik, V. Metag, and J. B. Wilhelmy, GSI-Sci. Rep. 1979 80-83 (1980), p. 101.Google Scholar
  9. 9.
    H. Backe, W. Bonin, E. Kankeleit, W. Patzner, P. Senger, and F. Weik, GSI-Sci. Rep. 1979 80-83 (1980), p. 168.Google Scholar
  10. 10.
    H. Backe, L. Handschug, F. Hessberger, E. Krankeleit, L. Richter, F. Weik, R. Willwater, H. Bokemeyer, P. Vincent, Y. Nakayama, and J. S. Greenberg, Phys. Rev. Lett. 40, 1443 (1978).ADSCrossRefGoogle Scholar
  11. 11.
    A. Balanda, H. J. Beeskow, K. Bethge, H. Bokemeyer, H. Folger, J. S. Greenberg, H. Grein, A. Gruppe, S. Ito, S. Matsuki, R. Schulte, R. Schultz, D. Schwalm, J. Schweppe, R. Steiner, P. Vincent, and M. Waldschmidt, GSI-Sci. Rep. 1979 80-83 (1980), p. 161.Google Scholar
  12. 12.
    J. Bang and J. M. Hansteen, K. Dan. Vidensk. Selsk. Mat.-Fys. Medd. 31, no. 13 (1959).Google Scholar
  13. 13.
    J. Bang and J. M. Hansteen, Phys. Lett. 72A, 218 (1979);Google Scholar
  14. Phys. Sci. 22, 609 (1981).Google Scholar
  15. 14.
    D. R. Bates and R. McCarroll, Proc. R. Soc. London, Ser A 245, 175 (1958).MATHCrossRefGoogle Scholar
  16. 15.
    F. Beck, H. Steinwedel, and G. Siissmann, Z. Phys. 171, 189 (1963).ADSMATHCrossRefGoogle Scholar
  17. 16.
    E. Berdermann, H. Bokemeyer, F. Bosch, M. Clemente, F. Giittner, P. Kienle, W. Koenig, C. Kozhuharov, H. Krimm, B. Martin, B. Povh, K. Traxel, and Th. Walcher, GSI-Jahresbericht (1978), p. 95.Google Scholar
  18. 17.
    E. Berdermann, H. Bokemeyer, F. Bosch, M. Clemente, F. Giittner, P. Kienle, C. Kozhu-harov, H. Krimm, B. Martin, B. Povh, K. Traxel, and Th. Walcher, Verh. Dtsch. Phys. Ges. (VI) 14, 492 (1979); E. Berdermann, F. Bosch, H. Bokemeyer, M. Clemente, F. Giittner, P. Kienle, W. Koenig, C. Kozhuharov, B. Martin, B. Povh, H. Tsertos, and Th. Walcher, GSI-Sci. Rep. 1978 79-11 (1979), p. 100.Google Scholar
  19. 18.
    E. Berdermann, F. Bosch, M. Clemente, F. Giittner, P. Kienle, W. Koenig, C. Kozhuharov, B. Martin, W. Potzel, B. Povh, C. Tsertos, W. Wagner, and Th. Walcher, GSI-Sci. Rep. 1979 80-3 (1980), p. 103;Google Scholar
  20. E. Berdermann, H. Bokemeyer, F. Bosch, M. Clemente, F. Giittner, P. Kienle, W. Koenig, C. Kozhuharov, B. Martin, B. Povh, H. Tsertos, and Th. Walcher, Verh. Dtsch. Phys. Ges. (VI) 15, 1168 (1980).Google Scholar
  21. 19.
    E. Berdermann, F. Bosch, M. Clemente, F. Giittner, P. Kienle, W. Koenig, C. Kozhuharov, B. Martin, B. Povh, C. Tsertos, W. Wagner, and Th. Walcher, GSI-Sci. Rep. 1980 81-82 (1981), p. 128.Google Scholar
  22. H. Bokemeyer, in Selected Topics in Nuclear Structure, J. Styczen and R. Kulessa, eds., Uniwersytet Jagiellonski, Krakow (1978), Vol. 2, p. 841.Google Scholar
  23. 21.
    H. Bokemeyer, in Heavy Ion Physics, A. Berinde, V. Ceausescu, and I. A. Dorobantu, eds., Proc. Predeal International School (1978), p. 489.Google Scholar
  24. 22.
    H. Bokemeyer, H. Folger, H. Grein, S. Ito, D. Schwalm, P. Vincent, K. Bethge, A. Gruppe, R. Schule, M. Waldschmidt, J. S. Greenberg, J. Schweppe, and N. Trautmann, GSI-Sci. Rep. 1980 81-82 (1981), p. 127.Google Scholar
  25. 25.
    H. Bokemeyer, H. Folger, H. Grein, S. Ito, D. Schwalm, P. Vincent, K. Bethge, A. Gruppe, R. Schule, M. Waldschmidt, J. S. Greenberg, J. Schweppe, and N. Trautmann, private communication.Google Scholar
  26. F. Bosch, F. Giittner, B. Martin, L. Meyer-Schiitzmeister, P. Kienle, W. Koenig, C. Koz-huharov, H. Krimm, B. Povh, H. Scappa, J. Soltani, and Th. Walcher, in XVIII International Winter Meeting on Nuclear Physics, Bormio, Jan. 21-26, 1980 ( University of Milan, ed. ), Suppl. No. 13.Google Scholar
  27. 25.
    F. Bosch, H. Krimm, B. Martin, B. Povh, Th. Walcher, and K. Traxel, Phys. Lett. 78B, 568 (1978).ADSGoogle Scholar
  28. 26.
    F. Bosch, D. Liesen, P. Armbruster, D. Maor, P. H. Mokler, H. Schmidt-Bocking, and R. Schuch, Z. Phys. A296, 11 (1980).ADSGoogle Scholar
  29. 27.
    J. S. Briggs, J. Phys. B 8, L485 (1975).ADSCrossRefGoogle Scholar
  30. 28.
    H. G. Dosch, J. H. D. Jensen, and V. F. Muller, Phys. Norv. 5, 151 (1971).Google Scholar
  31. 29.
    M. R. C. McDowell and J. P. Coleman, Introduction to the Theory of Ion-Atom Collisions, North-Holland, Amsterdam (1970).Google Scholar
  32. 30.
    B. Fricke and G. Soff, At. Nucl. Data Tables 19, 83 (1977).ADSCrossRefGoogle Scholar
  33. 31.
    J. S. Greenberg, in Electronic and Atomic Collisions, N. Oda and T. Takayanagi, eds., North-Holland, Amsterdam (1980), p. 351Google Scholar
  34. 32.
    F. Giittner, Diplomarbeit, Universitat Heidelberg (1979), unpublished.Google Scholar
  35. 33.
    F. Giittner, W. Koenig, B. Martin, B. Povh, H. Skapa, J. Soltani, Th. Walcher, F. Bosch, and C. Kozhuharov, preprint (1980), submitted to Z. Phys. A.Google Scholar
  36. 34.
    F. Giittner, W. Koenig, B. Martin, B. Povh, H. Skapa, J. Soltani, Th. Walcher, C. Kozhu-harov, P. Kienle, and L. Meyer-Schiitzmeister, in Book of Abstracts (Part II), European Conference on Atomic Physics (ECAP), J. Kowalski, G. zu Putlitz, and H. G. Weber, eds., Eur. Phys. Soc. C (1981), Vol. 5A, Part II, p. 899.Google Scholar
  37. 35.
    F. P. Hessberger, Diplomarbeit, Technische Hochschule Darmstadt (1977).Google Scholar
  38. 36.
    G. Hermann, Yearbook of Science and Technology, p. 385, McGraw-Hill (1980) and references cited therein.Google Scholar
  39. 37.
    D. H. Jakubassa, Z. Phys. A293, 281 (1979).ADSGoogle Scholar
  40. 38.
    O. Klein, Z. Phys. 53, 157 (1929).ADSMATHCrossRefGoogle Scholar
  41. 39.
    E. Kankeleit, in Nuclear Interactions, B. A. Robson, ed., Lecture Notes in Physics, Vol. 92, Springer-Verlag, New York (1979), p. 306.Google Scholar
  42. 40.
    E. Kankeleit, in Proceedings of the Twelfth Summer School of Nuclear Physics, Mikolajki 1979, Nukleonika 25, 253 (1980).Google Scholar
  43. 41.
    E. Kankeleit, R. Kohler, M. Kollatz, M. Kramer, R. Krieg, P. Senger, and H. Backe GSI-Sci. Rep. 1980 81-2 (1981), p. 195.Google Scholar
  44. 42.
    K. G. Kaun and S. A. Karamyan, JINR P 7-11420, Dubna (1978).Google Scholar
  45. 43.
    P. Kienle, in Progress in Particle and Nuclear Physics, Vol. 4, D. Wilkinson, ed., Plenum Press, New York (1980).Google Scholar
  46. 44.
    P. Kienle, in Atomic Physics 7, D. Kleppner and F. M. Pipkin, eds., Plenum Press, New York (1981), p. 1.CrossRefGoogle Scholar
  47. 45.
    C. Kozhuharov, P. Kienle, D. H. Jakubassa, and M. Kleber, Phys. Rev. Lett. 39, 540 (1977).ADSCrossRefGoogle Scholar
  48. 46.
    C. Kozhuharov, P. Kienle, E. Berdermann, H. Bokemeyer, J. S. Greenberg, Y. Nakayama, P. Vincent, H. Backe, L. Handschug, and E. Kankeleit, Phys. Rev. Lett. 42, 376 (1979).ADSCrossRefGoogle Scholar
  49. 47.
    H. Krimm, Diplomarbeit, Universitat Heidelberg (1978).Google Scholar
  50. 48.
    L. D. Landau and E. M. Lifschitz, Lehrbuch der theoretischen Physik, Vol. 11, Chap. 1, Akademie Verlag, Berlin (1973).Google Scholar
  51. 49.
    D. Liesen, P. Armbruster, H.-H. Behnke, F. Bosch, S. Hagmann, P. H. Mokler, H. Schmidt-Bocking, R. Schuch, in Electronic and Atomic Collisions, N. Oda and T. Takayanagi, eds., North-Holland, Amsterdam (1980), p. 337.Google Scholar
  52. 50.
    D. Liesen, P. Armbruster, F. Bosch, S. Hagmann, P. H. Mokler, J. Wollersheim, H. Schmidt-Bocking, R. Schuch, and J. B. Wilhelmy, Phys. Rev. Lett. 44, 983 (1980).ADSCrossRefGoogle Scholar
  53. 51.
    W. E. Meyerhoff, R. Anholt, Y. El Masri, D. Cline, F. S. Stephens, and R. Diamond, Phys. Lett. B69, 41 (1977).ADSGoogle Scholar
  54. 52.
    W. E. Meyerhoff and K. Taulbjerg, Ann. Rev. Nucl Sci. 27, 279 (1977).ADSCrossRefGoogle Scholar
  55. 53.
    A. B. Migdal, Qualitative Methods in Quantum Theory, Don Mills, Ontario (1977), p. 115.MATHGoogle Scholar
  56. 54.
    P. H. Mokler and F. Folkmann, in Structure and Collisions of Ions andAtomi, I. A. Sellin, ed., Springer-Verlag, Berlin (1978).Google Scholar
  57. 55.
    P. H. Mokler and D. Liesen, Chapter 8, this volume.Google Scholar
  58. 56.
    E. Moll and E. Kankeleit, Nukleonik 7, 180 (1965).Google Scholar
  59. 57.
    B. Miiller, G. Soff, W. Greiner, and V. Ceausescu, Z. Phys. A285, 27 (1978).ADSGoogle Scholar
  60. 58.
    J. R. Nix, Ann. Rev. Nucl. Sci. 22, 65 (1972).ADSCrossRefGoogle Scholar
  61. I. Pomeranchuk and J. Smorodinsky, J. Phys. USSR IX, 97 (1945).Google Scholar
  62. 60.
    J. Rafelski, L. Fulcher, and A. Klein, Phys. Rep. 38C, 227 (1978).ADSCrossRefGoogle Scholar
  63. 61.
    J. Rafelski, B. Miiller, and W. Greiner, Z. Phys. A285, 49 (1978).ADSGoogle Scholar
  64. 62.
    J. Reinhardt and W. Greiner, Rep. Progr. Phys. 40, 219 (1977).ADSCrossRefGoogle Scholar
  65. 63.
    J. Reinhardt, U. Miiller, B. Miiller, and W. Greiner, Z. Phys. A 303, 173 (1981).ADSCrossRefGoogle Scholar
  66. 64.
    J. Reinhardt, B. Miiller, and W. Greiner, Phys. Rev. A 24, 103 (1981).ADSCrossRefGoogle Scholar
  67. 65.
    F. Sauter, Z. Phys. 69, 742 (1931).ADSCrossRefGoogle Scholar
  68. 66.
    F. Sauter, Z. Phys. 73, 547 (1932).ADSCrossRefGoogle Scholar
  69. 67.
    L. I. Schiff, H. Snyder, and J. Weinberg, Phys. Rev. 57, 315 (1940).ADSCrossRefGoogle Scholar
  70. 68.
    P. Schluter, G. Soff, and W. Greiner, Z. Phys. A286, 149 (1978).ADSGoogle Scholar
  71. 69.
    P. Schluter and G. Soff, ADANDT 24, 509 (1979).ADSCrossRefGoogle Scholar
  72. 70.
    P. Schluter, G. Soff, and W. Greiner, Phys. Rep. 75 (6), 329 (1981).ADSGoogle Scholar
  73. 71.
    H. Skapa, Diplomarbeit, Universitat Heidelberg (1980), unpublished.Google Scholar
  74. 72.
    G. Soff, W. Betz, B. Miiller, W. Greiner, and E. Merzbacher, Phys. Lett. 65a, 19. (1978).ADSGoogle Scholar
  75. 73.
    G. Soff, J. Reinhardt, B. Miiller, and W. Greiner, Phys. Rev. Lett. 43, 43 (1979).CrossRefGoogle Scholar
  76. 74.
    G. Soff, J. Reinhardt, B. Miiller, and W. Greiner, Z. Phys. A249, 137 (1980).ADSGoogle Scholar
  77. 75.
    G. Soff, private communication.Google Scholar
  78. 76.
    J. Soltani, Diplomarbeit, Universitat Heidelberg (1980), unpublished.Google Scholar
  79. 77.
    H. Tsertos, Diplomarbeit, Technische Universitat Munchen (1980), unpublished.Google Scholar
  80. 78.
    Ch. Urbanek, Diplomarbeit, Technische Hochschule Darmstadt (1979).Google Scholar
  81. 79.
    V. V. Voronkov and N. N. Kolesnikov, Sov. Phys. JETP 12, 136 (1961).Google Scholar
  82. 80.
    F. G. Werner and J. H. Wheeler, Phys. Rev. 109, 126 (1958).ADSCrossRefGoogle Scholar
  83. 81.
    G. Soff, B. Miiller, and J. Rafelski, Z. Naturforsch. 29a, 1267 (1974).ADSGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1984

Authors and Affiliations

  • Hartmut Backe
    • 1
  • Christophor Kozhuharov
    • 2
  1. 1.Johannes-Gutenberg-UniversitätMainzGermany
  2. 2.Gesellschaft für Schwerionenforschung mbHDarmstadtGermany

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