An Empirical Effective Interaction

  • Sam M. Austin


Cross sections for charge exchange or inelastic scattering reactions depend upon a nuclear matrix element which contains both the wavefunctions of the nuclear states involved and the effective two-body interaction Veff mediating the transition between these states. Consequently one can use these reactions as a spectroscopic tool only if one has a priori knowledge of the effective interaction. Two approaches have been taken to obtaining Veff. One of these is entirely theoretical1 in nature, beginning with a more or less accurate potential model for the bare two nucleon force. At energies below about 50 MeV, one can argue that the interaction must basically resemble that used in the nuclear shell model and a real interaction derived from the shell model G matrix has commonly been used. At energies above about 100 MeV, the impulse approximation provides a good approximation to Veff. This approach and applications of it have been discussed in detail at this conference by Love1 and by Petrovich.2


Tensor Interaction Tensor Force Exchange Amplitude Gamow Teller Nuclear Matrix Element 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    W.G. Love, Telluride Conference, 1979.Google Scholar
  2. 2.
    F. Petrovich, Telluride Conference, 1979.Google Scholar
  3. 3.
    G.R. Satchler, Nucl. Phys. A95, 1 (1967).CrossRefGoogle Scholar
  4. 4.
    S.M. Austin, p. 285 in The Two-Body Force in Nuclei, ed. S.M. Austin and G.M. Crawley, Plenum, New York (1972).Google Scholar
  5. 5.
    G. Bertsch, J. Borysowicz, H. McManus, and W.G. Love, Nucl. Phys. A284, 399 (1977).CrossRefGoogle Scholar
  6. 6.
    F.A. Brieva, H.V. Geramb, and J.R. Rook, Phys. Lett. 79B, 177 (1978).Google Scholar
  7. 7.
    P.D. Kunz, Telluride Conference, 1979.Google Scholar
  8. 8.
    D.E. Bainum, R.W. Finlay, J. Rapaport, J.D. Carlson, and J.R. Comfort, Phys. Rev. Lett. 39, 443 (1977).ADSCrossRefGoogle Scholar
  9. 9.
    C.D. Goodman, Telluride Conference, 1979.Google Scholar
  10. 10.
    C.C. Foster, Telluride Conference, 1979.Google Scholar
  11. 11.
    R. Schaeffer and J. Raynal, unpublished. Modified by W.G. Love.Google Scholar
  12. 12.
    D. Slanina and H. McManus, Nucl. Phys A116, 271 (1968).CrossRefGoogle Scholar
  13. 13.
    A. Kallio and K. Koltveit, Nucl. Phys. 53, 87 (1964).CrossRefGoogle Scholar
  14. 14.
    A.M. Green, quoted in A. Lande and J.P. Svenne, Phys. Lett. 25B, 91 (1967).CrossRefGoogle Scholar
  15. 15.
    J.M. Moss, W.D. Cornelius, and D.R. Brown, Phys. Lett. 69B, 154 (1977).Google Scholar
  16. 16.
    J.M. Moss, W.D. Cornelius, and D.R. Brown, Phys. Rev. Lett. 41, 930 (1978).ADSCrossRefGoogle Scholar
  17. 17.
    J.M. Moss, W.D« Cornelius, and D.R. Brown, Phy's. Lett. 71B, 87 (1977) and private communication.Google Scholar
  18. 18.
    V. Gillet and N. Vinh Mau, Nucl. Phys. 54, 321 (1964).CrossRefGoogle Scholar
  19. 19.
    R.R. Doering, D.M. Patterson, and A. Galonsky, Phys. Rev. C12, 378 (1975).ADSGoogle Scholar
  20. 20.
    S.D. Schery, S.M. Austin, A. Galonsky, L.E. Young, and U.E.P. Berg, Phys. Lett. 79B, 30 (1978).Google Scholar
  21. 21.
    S.D. Schery, Telluride Conference, 1979.Google Scholar
  22. 22.
    L.D. Rickertsen and P.D. Kunz, Phys. Lett. 47B, 11 (1973).Google Scholar
  23. 23.
    S.D. Schery, D.A. Lind, and H. Wieman, Phys. Rev. C14, 1800 (1976).ADSGoogle Scholar
  24. 24.
    J.D. Anderson, S.D. Bloom, C. Wong, W.F. Hornyak, and V.A. Madsen, Phys. Rev. 177, 1416 (1969).ADSCrossRefGoogle Scholar
  25. 25.
    W. Sterrenburg, S.M. Austin, U.E.P. Berg, R. DeVito, and A. Galonsky, to be published.Google Scholar
  26. 26.
    F.D. Becchetti and G.W. Greenlees, Phys. Rev. 182, 1190 (1969).ADSCrossRefGoogle Scholar
  27. 27.
    J. Rapaport, Telluride Conference, 1979.Google Scholar
  28. 28.
    K. Ikeda, S. Fujii, and J.I. Fukita, Phys. Lett. 3, 271 (1963).ADSCrossRefGoogle Scholar
  29. 29.
    U.E.P. Berg, Telluride Conference, 1979.Google Scholar
  30. 30.
    A. Galonsky, Telluride Conference, 1979.Google Scholar
  31. 31.
    J.D. Anderson, C. Wong, and V.A. Madsen, Phys. Rev. Lett. 24, 1074 (1970) .Google Scholar
  32. 32.
    S. Cohen and D. Kurath, Nucl. Phys. 73, 1 (1965).CrossRefGoogle Scholar
  33. 33.
    R.R. Doering, L.E. Young, R.K. Bhowmick, S.M. Austin, S.D. Schery, and R. DeVito, B.A.P.S. 21, 978 (1976).Google Scholar
  34. 34.
    W. Sterrenburg, S.M. Austin, U.E.P. Berg, R. DeVito, and A. Galonsky, to be published.Google Scholar
  35. 35.
    B.H. Wildenthal and W. Chung, Telluride Conference, 1979.Google Scholar
  36. 36.
    A.S. Clough, C.J. Batty, B.E. Bonner, C. Tschalär, L.E. Williams, and E. Friedman, Nucl. Phys. A137, 222 (1969);CrossRefGoogle Scholar
  37. A.S. Clough, C.J. Batty, B.E. Bonner, and L.E. Williams, Nucl. Phys. A143, 385 (1970).CrossRefGoogle Scholar
  38. 37.
    K.H. Bray, M. Jain, K.S. Jayaraman, G. Lobianco, G.A. Moss, W.T.H. Van Oers, and D.O. Wells, Nucl. Phys. A189, 35 (1972).CrossRefGoogle Scholar
  39. 38.
    S.M. Austin, P.J. Locard, W. Benenson, and G.M. Crawley, Phys. Rev. 176, 1227 (1968); S.M. Austin and G.M. Crawley, Phys. Lett. 27B, 570 (1968).CrossRefGoogle Scholar
  40. 39.
    P.J. Locard, S.M. Austin, and W. Benenson, Phys. Rev. Lett. 19, 1141 (1967).ADSCrossRefGoogle Scholar
  41. 40.
    C. Wong, J.D. Anderson, J. McClure, B. Pohl, V.A. Madsen, and F. Schmittroth, Phys. Rev. 160, 769 (1967).Google Scholar
  42. 41.
    W.G. Love and L.J. Parish, Nucl. Phys. A157, 625 (1970).CrossRefGoogle Scholar
  43. 42.
    C. Wong, J.D. Anderson, V.A. Madsen, F.A. Schmittroth, and M.J. Stomp, Phys. Rev. C3, 1904 (1971).ADSGoogle Scholar
  44. 43.
    S.H. Fox and S.M. Austin. on Nuclear Physics, ed. J. de Boer and H.J. Mang, North Holland, 1973.Google Scholar
  45. 44.
    H.F. Lutz, D.W. Heikkinen, and W. Bartolini, Nucl. Phys. A198, 257 (1972).CrossRefGoogle Scholar
  46. 45.
    J.R. Comfort, S.M. Austin, P. Debevec, G. Moake, R.W. Finlay, and W.G. Love, to be published.Google Scholar
  47. 46.
    J.M. Moss, Int'l. Symp. on Direct Nuclear Reaction Mechanisms, Fukuoka, 1978.Google Scholar
  48. 47.
    L.F. Hansen, S.M. Grimes, J.L. Kammerdiener, and V.A. Madsen, Phys. Rev. C8, 2072 (1973).ADSGoogle Scholar
  49. 48.
    T.N. Taddeucci, R.R. Doering, L.C. Dennis, A. Galonsky, and S.M. Austin, B.A.P.S. 24, 594 (1979).Google Scholar
  50. 49.
    S.M. Austin, R. DeVito, L.E. Young, and R.R. Doering, B.A.P.S. 24, 610 (1979).Google Scholar
  51. 50.
    T. Taddeuchi and W.G. Love, private communication.Google Scholar
  52. 51.
    A. Chaumeaux, V. Layly, and R. Schaeffer, Phys. lett. 72B, 33 (1977); R. Schaeffer, private communication.Google Scholar
  53. 52.
    D. Larson, S.M. Austin, and B.H. Wildenthal, Phys. Rev. C11, 1638 (1975).ADSGoogle Scholar
  54. 53.
    B.H. Wildenthal, Phys. Rev. Lett. 22, 1118 (1969).CrossRefGoogle Scholar
  55. 54.
    W.A. Sterrenburg, S.M. Austin, U.E.P. Berg, R. DeVito, and A.I. Galonsky, B.A.P.S. 24, 649 (1979).Google Scholar

Copyright information

© Plenum Press, New York 1980

Authors and Affiliations

  • Sam M. Austin
    • 1
  1. 1.Cyclotron Laboratory and Physics DepartmentMichigan State UniversityEast LansingUSA

Personalised recommendations