Direct Methods in the Theory of Nuclear Reactions

  • V. P. Zhigunov
  • B. N. Zakhar’ev


The paper surveys the current state of reaction theory based on channel strong coupling. The various methods are discussed as detailed examples of the Bubnov-Galerkin-Petrov principle. Variational principles for scattering problems are discussed.


Incident Wave Free Particle Trial Function Particle Composition Closed Channel 
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Literature Cited

  1. 1.
    Yu. M. Berezanskii, Series Expansion via Eigenfunctions of Self-Conjugate Operators [in Russian], Kiev, Naukova Dumka (1965).Google Scholar
  2. 2.
    S. G. Mikhlin, Variational Methods in Mathematical Physics [in Russian], Moscow, Gostekhizdat (1951).Google Scholar
  3. 3.
    S. G. Mikhlin, Numerical Realization of Variational Methods [in Russian], Moscow, Nauka (1966).Google Scholar
  4. 4.
    M. A. Krasnoseltskii et al., Approximate Solution of Operational Equations [in Russian], Moscow, Nauka (1969).Google Scholar
  5. 5.
    M. Feshbach, Ann. Phys., 5, 357 (1958)MathSciNetADSMATHCrossRefGoogle Scholar
  6. M. Feshbach, Ann. Phys., 19, 287 (1962).MathSciNetADSMATHCrossRefGoogle Scholar
  7. 6.
    N. F. Mott and H. Massey, Theory of Atomic Collisions, Oxford Univ. Press (1965).Google Scholar
  8. 7.
    G. F. Drukarev, Theory of Electron-Atom Collisions [in Russian], Moscow, Fizmatgiz (1963).Google Scholar
  9. 8.
    Yu. N. Demkov, Variational Principles in Scattering Theory [in Russian], Moscow, Fizmatgiz (1958).Google Scholar
  10. 9.
    T. Omura et al., Prog. Theor. Phys., 41, 391 (1969).ADSCrossRefGoogle Scholar
  11. T. Omura et al., Prog. Theor. Phys., 43, 347 (1970).ADSCrossRefGoogle Scholar
  12. K. Hasegawa, Progr. Theor. Phys., 42, 799 (1969).ADSCrossRefGoogle Scholar
  13. 10.
    T. G. Erimenko et al., JINR Preprint R4–4923, Dubna (1970).Google Scholar
  14. 11.
    M. R. H. Rudge and M. J. Seaton, Proc. Roy. Soc., 283, 262 (1965)MathSciNetADSCrossRefGoogle Scholar
  15. M. R. H. Rudge and M. J. Seaton, J. Nuttal, Phys. Rev. Lett., 19, 473 (1967).CrossRefGoogle Scholar
  16. 12.
    V. S. Rudakov, JINR Preprint R4–4934, Dubna (1970).Google Scholar
  17. 13.
    T. G. Efimenko et al., JINR Preprint R4–4099, Dubna (1968).Google Scholar
  18. 14.
    L. Spruch et al., Phys. Rev., 134, B397 (1964); see also M. Gailetis, Zh. Éksp. Teor. Fiz., 47, 160 (1964).Google Scholar
  19. 15.
    L. M. Delves, Nucl. Phys., No. 9, 391 (1959).Google Scholar
  20. L. M. Delves, Nucl. Phys., 20, 275 (1960).CrossRefGoogle Scholar
  21. L. M. Delves, Nucl. Phys., 29, 268, 326 (1962).MathSciNetMATHGoogle Scholar
  22. 16.
    M. R. H. Rudge, Rev. Mod. Phys., 40, No. 3, 564 (1968).ADSCrossRefGoogle Scholar
  23. 17.
    U. Fano, Phys. Rev., 124, 1866 (1961).ADSMATHCrossRefGoogle Scholar
  24. 18.
    C. Bloch, Many-Body Description of Nuclear Structure and Reactions, Academic Press (1966).Google Scholar
  25. 19.
    A. S. Davydov, Quantum Mechanics [in Russian], Moscow, Fizmatgiz (1963).Google Scholar
  26. 20.
    T. G. Efimenko et al., Ann. Phys., 47, 275 (1968).ADSCrossRefGoogle Scholar
  27. T. G. Efimenko et al., Ann. Phys., 7, 76 (1968).Google Scholar
  28. B. N. Zhakhartev, Lectures at the Physics School, Trieste (1971).Google Scholar
  29. 21.
    M. Rothenberg, Ann. Phys., 19, 252 (1962).ADSGoogle Scholar
  30. 22.
    M. Wibike et al., JINR Preprint R2–4887, Dubna (1969).Google Scholar
  31. 23.
    I. V. Amirkhanov and M. A. Kasymzhanov, JINR Preprint R4–4335, Dubna (1969).Google Scholar
  32. 24.
    B. N. Zakharfev and V. L. Shmonin, JINR Communication R4–5165, Dubna (1970).Google Scholar
  33. 25.
    R. Marriott, Proc. Phys. Soc., 72, 121 (1958).ADSCrossRefGoogle Scholar
  34. 26.
    G. F. Drukarev, Zh. Éksp. Teor. Fiz., 25, 139 (1953).Google Scholar
  35. 27.
    P. G. Burke and A. J. Taylor, Proc. Phys. Soc., 88, 549 (1966).ADSCrossRefGoogle Scholar
  36. 28.
    M. Gailitis, Physics of Electronic and Atomic Collisions, New York (1965).Google Scholar
  37. 29.
    V. P. Zhigunov and I. S. Lupashira, IHEP Preprint 67–61-K, Serpukhov (1967).Google Scholar
  38. 30.
    B. N. Zakharfev, B. V. Pustovalov, and V. D. Éfros, Yad. Fiz., 8, 406 (1968).Google Scholar
  39. W. Zickendraht, Phys. Rev. 159, 1448 (1967).ADSCrossRefGoogle Scholar
  40. 31.
    Yu. A. Simonov, Yad. Fiz., 3, 630 (1966).MathSciNetGoogle Scholar
  41. A. M. Badalyan and Yu. A. Simonov, Yad. Fiz., 5, 88 (1967).Google Scholar
  42. A. M. Badalyan and Yu. A. Simonov, Yad. Fiz., 6, 473 (1967).Google Scholar
  43. W. Zickendraht, Ann. Phys., 35, 18 (1965).MathSciNetADSCrossRefGoogle Scholar
  44. W. Zickendraht, Phys. Rev., 159, 1448 (1967).ADSCrossRefGoogle Scholar
  45. M Fabre, Orsay Preprint IPNO/TH 157 (1969).Google Scholar
  46. M. Levy-Leblond, M. Levy-Nahas, J. Math. Phys., 6, 1571 (1965).MathSciNetADSCrossRefGoogle Scholar
  47. 32.
    Yu. A. Simonov, Proceedings of the Nuclear Physics Workshop [in Russian], Tbilisi, duplicated IHEP (1967)Google Scholar
  48. 33.
    A. I. Bazt and M. V. Zhukov, Lectures at the Physics School [in Russian], Leningrad (1970).Google Scholar
  49. 34.
    I. V. Amirkhanov et al., ZhTMF, 3, 392 (1970).Google Scholar
  50. 35.
    C. Mahaux and H. A. Weidenmuller, Application of the Shell Model to Nuclear Reactions, North Holland (1969).Google Scholar
  51. 36.
    V. V. Balashov et al., Yad. Fiz., 2, 643 (1965).Google Scholar
  52. 37.
    H. Hufner and R. H. Lemxner, Phys. Rev., 175, 1394 (1968).ADSCrossRefGoogle Scholar
  53. J. Birkholz, Phys. Lett., 34B, 1 (1971).CrossRefGoogle Scholar
  54. 38.
    W. Kohn, Phys. Rev., 74, 1763 (1948).ADSMATHCrossRefGoogle Scholar
  55. 39.
    J. Schwinger, Phys. Rev., 72, 742 (1947).Google Scholar
  56. 40.
    I. V. Amirkhanov and A. I. Titov, JINR Preprint R4–4907, Dubna (1970).Google Scholar
  57. 41.
    L. A. Lyusternik and V. I. Sobolev, The Elements of Functional Analysis [in Russian], Moscow, Nauka (1965).Google Scholar
  58. 42.
    L. Spruch et al., Phys. Rev., 119, 164 (1960).MathSciNetADSMATHCrossRefGoogle Scholar
  59. 43.
    B. N. Zakhartev et al., JINR Preprint R4–5168, Dubna (1971).Google Scholar
  60. 44.
    L. Spruch, Paper at the International Conference on Electronic and Atomic Collisions, Leningrad (1967).Google Scholar
  61. 45.
    B. N. Zakhartev and V. L. Shmonin, JINR Communication R4–5749, Dubna (1970).Google Scholar

Copyright information

© Consultants Bureau 1973

Authors and Affiliations

  • V. P. Zhigunov
  • B. N. Zakhar’ev

There are no affiliations available

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