Statistical theory

  • Wolfgang Nörenberg
  • Hans A. Weidenmüller
Part of the Lecture Notes in Physics book series (LNP, volume 51)

Abstract

In chapter 4, we have explained why nuclear cross-sections, in the domain where the density of compound states is high, are very rapidly varying functions of energy. This led us to consider energy-averaged cross-sections, with the averaging interval I subject to the conditions (4.2.4), and to the decompositions (4.1.11) and (4.2.5) of the average cross-section into a shape-elastic or direct part, and into a compound-nucleus contribution. These two parts can be viewed as representing the fast and the slow contributions, respectively, to the average cross-section, as explained in the paragraph following eq. (4.1.14). This interpretation leads to the expectation that the shape-elastic or direct part can be described by simple models involving only a few degrees of freedom. The most important of these models were described in chapters 5 and 7. We now turn to the evaluation of the compound-nucleus contributions to the energy-averaged cross-sections.

Keywords

Angular Distribution Master Equation Transmission Coefficient Compound Nucleus Direct Reaction 
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. AB 70.
    E. Abramson, R.A. Eisenstein, I. Plesser, Z. Vager, J.P. Wurm, Nucl.Phys. A144 (1970) 321CrossRefGoogle Scholar
  2. AG 75a.
    D. Agassi and H.A. Weidenmüller, Phys. Lett. 56B (1975) 305Google Scholar
  3. AG 75b.
    D. Agassi, H.A. Weidenmüller and G. Mantzouranis, Phys. Lett. 22C (1975)145Google Scholar
  4. AY 75.
    S. Ayik, B. Schürmann and W. Nörenberg, Z.Physik (in press)Google Scholar
  5. BE 37.
    H.A. Bethe, Revs. Mod. Phys. 9 (1937) 71ADSCrossRefGoogle Scholar
  6. BL 71.
    M. Blann, Phys. Rev. Lett. 27 (1971) 337ADSCrossRefGoogle Scholar
  7. BL 73a.
    M. Blann, in Lecture Notes in Physics, vol, 22, ed. by N. Cindro et al. (Springer Verlag, Berlin - Heidelberg - New York, 1973) p. 43Google Scholar
  8. BL 73b.
    M. Blann, Nucl, Phys. A213 (1973) 570CrossRefGoogle Scholar
  9. BL 75a.
    E. Blanke, H. Genz, A. Richter and G. Schrieder, Phys.Lett. 58B (1975) 289Google Scholar
  10. BL 75b.
    M. Blann, Ann. Rev. Nucl. Science 25 (1975) 123ADSCrossRefGoogle Scholar
  11. BO 36.
    N. Bohr, Nature 137 (1936) 344ADSMATHCrossRefGoogle Scholar
  12. CL 71.
    C.K. Cline and M. Blann, Nucl, Phys. A172 (1971) 225CrossRefGoogle Scholar
  13. CL 72.
    C.K. Cline, Nucl. Phys. A193 (1972) 417CrossRefGoogle Scholar
  14. DA 75.
    S. Davis, C. Glashausser, A.B. Robbins, G. Bissinger, R. Albrecht, J.P. Wurm, Phys. Rev. Letts. 34 (1975) 215ADSCrossRefGoogle Scholar
  15. EB 69.
    K.A. Eberhard, P. von Brentano, M. Böhning and R.O. Stephen, Nucl. Phys. Al25 (1969) 673Google Scholar
  16. ER 58.
    T. Ericson and V.M. Strutinsky, Nucl, Phys. 8 (1958) 284CrossRefGoogle Scholar
  17. ER 66.
    T. Ericson and T. Mayer-Ruckuk, Ann. Revs. Nucl. Science 16 (1966) 183ADSCrossRefGoogle Scholar
  18. FR 55.
    F.L. Friedman and V.F. Weisskopf, in “Niels Bohr and the Development of Physics”, ed. by W. Pauli ( Pergamon Press, New York, 1955 ) p. 134Google Scholar
  19. GA 72.
    Statistical Properties of Nuclei, ed. by J.B. Garg ( Plenum Press, New York - London, 1972 )Google Scholar
  20. GA 73.
    E. Gadioli and L. Milazzo-Colli, in Lecture Notes in Physics, vol. 22, ed. by N. Cindro et al. ( Springer Verlag, Berlin - Heidelberg - New York, 1973 ) p. 86Google Scholar
  21. GH 50.
    S.N.Ghoshal, Phys. Rev, 80 (1950) 939Google Scholar
  22. GR 66.
    J.J. Griffin, Phys. Rev, Lett. 17 (1966) 478Google Scholar
  23. GR 67.
    J.J. Griffin, Phys. Lett. B24 (1967) 5CrossRefGoogle Scholar
  24. GR 74.
    G. Grave, H. Clement, J.H. Feist, W. Kretschmar and P. Pröschel, Phys. Rev. C10 (1974) 2340Google Scholar
  25. HA 52.
    W. Hauser and H. Feshbach, Phys. Rev. 87 (1952) 366ADSMATHCrossRefGoogle Scholar
  26. HA 68.
    G.D. Harp, J.M. Miller and B.J. Berne, Phys. Rev. 165 (1968) 1166Google Scholar
  27. HA 71.
    G.D. Harp and J.M. Miller, Phys. Rev. C3 (1971) 1847ADSGoogle Scholar
  28. HO 74.
    H.M. Hofmann, J. Richert, W. Tepel and H.A. Weidenmüller, Ann. Phys. (N.Y.) 90 (1975) 403ADSCrossRefGoogle Scholar
  29. HO 76.
    H. Hofmann and P. Siemens, Nucl. Phys. A257 (1976) 165CrossRefGoogle Scholar
  30. JO 67.
    R.R. Johnson and N.M. Hintz, Phys. Rev. 153 (1967) 1169Google Scholar
  31. KA 73.
    M. Kawai, A.K. Kerman, and K.W. McVoy, Ann. Phys. (N.Y.) 72 (1973) 156ADSCrossRefGoogle Scholar
  32. LA 57.
    A.M. Lane and J.E. Lynn, Proc. Phys. Soc. (London) A70 (1957) 557ADSCrossRefGoogle Scholar
  33. MA 75] G. Mantzouranis, D. Agassi and H.A. Weidenmüller, Phys. Lett. 57B (1975)220Google Scholar
  34. MO 69.
    P.A. Moldauer, Phys. Rev. 177 (1969) 1841Google Scholar
  35. MO 75a.
    P.A. Moldauer, Phys.Rev. C11 (1975) 426ADSGoogle Scholar
  36. MO 75b.
    L.G. Moretto and J.S. Sventek, Phys. Lett. 58B (1975) 26Google Scholar
  37. NÖ 74a.
    W. Nörenberg, Proc.Int.Conf. on Reactions between Complex Nuclei, Nashville, U.S.A., 1974 (North-Holland, Amsterdam, 1974 ) vol. 1, p. 90Google Scholar
  38. NÖ 74b.
    W. Nörenberg, Phys. Lett. 52B (1974) 289Google Scholar
  39. NÖ 75.
    W. Nörenberg, Z. Physik A274 (1975) 241ADSCrossRefGoogle Scholar
  40. PA 28.
    W. Pauli, Festschrift zum 60. Geburtstag Sommerfelds, ed. by P. Debye ( Hirzel-Verlag, Leipzig, 1928 ) p. 30Google Scholar
  41. PO 65.
    C.E. Porter, Statistical theories of spectra: Fluctuations (Academic Press, Inc., New York, 1965 )Google Scholar
  42. RI 74.
    A. Richter, in Nuclear Spectroscopy and Reactions, ed. by J. Cerny,( Academic Press, New York, 1974 )Google Scholar
  43. VO 66.
    W. von Witsch, P. von Brentano, T. Mayer-Kuckuk, A. Richter, Nucl.Phys. 80 (1966) 394Google Scholar
  44. VE 69.
    V.V. Verbinsky and W.R. Burrus, Phys.Rev. 177 (1969) 1671ADSCrossRefGoogle Scholar
  45. WE 40.
    V.F. Weisskopf and D.H. Ewing, Phys. Rev. 57 (1940). 472–935ADSCrossRefGoogle Scholar
  46. WE 66.
    R.W. West, Phys. Rev. 141 (1966) 1033Google Scholar
  47. WO 51.
    L. Wolfenstein, Phys. Rev. 82 (1951) 690ADSMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1976

Authors and Affiliations

  • Wolfgang Nörenberg
    • 1
  • Hans A. Weidenmüller
    • 1
  1. 1.Max-Planck-Institut für KernphysikHeidelbergGermany

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