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Beyond Lowest-Order Results in Pion-Nucleus Reactions

  • J. M. Eisenberg
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 45)

Abstract

In recent years, in large measure due to the advent of the meson factories, there has developed a great interest in using pions for elastic and inelastic scattering on nuclei, in parallel to similar reactions for nucleons. The general objective of such hadronic scattering is to determine nuclear static and dynamic distributions of hadronic matter: proton and—more especially—neutron densities, two-nucleon correlations (with and without spin and isospin vector forms), α-clustering, and so on. Theoretical analysis is generally directed at joining together reliable descriptions of the reaction mechanism and of the pertinent nuclear structure, with sufficient control on each so that their separate influences may be examined. The hadronic processes are very intricate, and the existence of a variety of probes of this nature is to be welcomed as offering greater likelihood for unravelling them. Towards this end, the pion offers several advantages and several disadvantages, as we shall see, at least implicitly, in the following. It also is quite distinct from the nucleon in that it can undergo true absorption in the nucleus, a feature upon which we shall not dwell at much length here where our primary interest will be to examine general features of multiple-scattering theory.

Keywords

Optical Potential Cluster Expansion Nuclear Ground State Pionic Atom Nuclear Excitation Energy 
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References

  1. 1.
    See, for example, M.L. Goldberger and K.M. Watson, Collision Theory (Wiley, New York, 1964)MATHGoogle Scholar
  2. A.L. Fetter and K.M. Watson, in Advances in Theoretical Physics, vol. 1, K.A. Brueckner, ed. (Academic, New York, 1965), p. 115.Google Scholar
  3. 2.
    J. M. Eisenberg and D. S. Koltun, The Theory of Meson Interactions with Nuclei (Wiley-Interscience, New York, 1980).Google Scholar
  4. 3.
    J.M. Eisenberg, in Lectures from the LAMPP Summer School on the Theory of Pion-Nucleus Scattering, W.R. Gibbs and B.F. Gibson V, eds.,”LA-5443-C (National Technical Information Service, Washington, 1973).Google Scholar
  5. 4.
    A.K. Kerman, H. McManus and R.M. Thaler, Ann. Phys. (New York) 8 (1959) 551.ADSCrossRefGoogle Scholar
  6. 5.
    See also N. Austern, F. Tabakin and M. Silver, Am. J. Phys. 45 (1977) 361.MathSciNetADSCrossRefGoogle Scholar
  7. 6.
    See, for example, H. Feshbach, A. Gal and J. Hufner, Ann. Phys. (New York) 66 (1971), 20, and subsequent work of H. Feshbach and collaborators, including E. Lambert and H. Feshbach, Ann. Phys. (New York) 76 (1973) 80 and J.J. U110 and H. Feshbach, Ann. Phys. (New-York) 82 (1974) 156, and references cited therein.ADSCrossRefGoogle Scholar
  8. 7.
    L.L. Foldy and J.D. Walecka, Ann. Phys. (New York) 54 (1969). 447.ADSCrossRefGoogle Scholar
  9. 8.
    P.C. Tandy, ·E.F. Redish and D. Bolle, Phys. Rev. Letters 35 (1975) 921; Phys. Rev. C16 (1977) 1924.ADSCrossRefGoogle Scholar
  10. For a specifically pionie application, see A.W. Thomas and R.B. Landau, Phys. Lett. 77B (1978) 155.ADSGoogle Scholar
  11. 9.
    J.M. Eisenberg, Phys. Rev. C19 (1979) 559.ADSGoogle Scholar
  12. 10.
    The pion charge exchange process has recently been thoroughly reviewed, especially in its experimental aspects, by J. Alster and J. Warszawski, Phys. Repts., to be published. See also ref. 11 for a general assessment of theoretical aspects of the problem with reference to the earlier literature.Google Scholar
  13. 11.
    J. Warszawski, A. Gal and J.M. Eisenberg, Nucl. Phys. A294 (1978) 321.ADSGoogle Scholar
  14. 12.
    J.M. Eisenberg and A. Gal, Phys. Lett. 53B (1975)Google Scholar
  15. A. Gal and J.M. Eisenberg, Phys. Rev. C14 (1976) 390; 1273.Google Scholar
  16. 13.
    E. Oset, Phys. Lett. 65B (1976) 46.ADSGoogle Scholar
  17. 14.
    R..J. Glauber, in Lectures in Theoretical Physics, vol. 1, W.E. Brittin.et al., eds. (Interscience, New York, 1959), p, 315.Google Scholar
  18. 15.
    D.R. Harrington, Phys. Rev. 184 (1969) 1745 berg, Ann.’ Phys, (New York) 71 (1972) 542.ADSCrossRefGoogle Scholar
  19. 16.
    L.S. Kisslinger, Phys. Rev. 98 (1955) 761.ADSMATHCrossRefGoogle Scholar
  20. 17.
    T.-S.H. Lee and S. Chakravarti, Phys. Rev. C16 (1977) 273.ADSGoogle Scholar
  21. 18.
    G. Backenstoss, Ann. Rev. Nuc1. Sci. 20 (1970), 467.ADSCrossRefGoogle Scholar
  22. L. Tauscher, in High-Energy Physics and Nuclear Structure, Santa Fe and Los Alamos, 1975, D.E. Nagle et al., eds. (A.I.P. New York, 1975), p. 541Google Scholar
  23. J. Hufner, Phys. Repts. 21C (1975), 1ADSCrossRefGoogle Scholar
  24. L. Tauscher, in Exotic Atoms, Int. School of Physics of Exotic Atoms, Erice, 1977, G. Fiorentini and G. Torelli, eds. (Frascati, 1977) 145.Google Scholar
  25. 19.
    M. Ericson and T.E.O. Ericson, Ann. Phys. (New York) 36 (1966) 323.ADSCrossRefGoogle Scholar
  26. 20.
    J.M. Eisenberg, J. Hufner and E.J. Moniz, Phys. Lett. 47B (1973) 381.ADSGoogle Scholar
  27. 21.
    G. Baym and G.E. Brown, Nuc1. Phys. A247 (1975), 395 and erratum A262 (1976) 539.CrossRefGoogle Scholar
  28. 22.
    J. Delorme and M. Ericson, Phys. Lett. 60B (1976), 451ADSGoogle Scholar
  29. J. Delorme, M. Ericson, A. Figureau and C. Thevenet, Ann. Phys. (New York), 102 (1976) 273.ADSCrossRefGoogle Scholar
  30. 23.
    J. Warszawski, J.M. Eisenberg and A. Gal, Nuc1. Pays. A312 (1978) 253.Google Scholar
  31. 24.
    W.R. Gibbs, B.F. Gibson and G.J. Stephenson, Jr., Phys. Rev. Lett. 39 (1977) 1316.Google Scholar
  32. 25.
    H. Garcilazo, Nuc1. Phys. A302 (1978) 493.CrossRefGoogle Scholar
  33. 26.
    F. Lenz, Ann. Phys. (New York) 95 (1975) 348.ADSCrossRefGoogle Scholar
  34. 27.
    M. Hirata, F. Lenz and K. Yazaki, Ann. Phys. (New York) 108 (1977) 116.ADSCrossRefGoogle Scholar
  35. 28.
    M. Hirata, J.H. Koch, F. Lenz and E.J. Moniz, Phys. Lett. 70B (1977) 281.ADSGoogle Scholar
  36. 29.
    E.J. Moniz, in Meson-Nuclear Physics - 1976, P.D. Barnes et al., eds. (A.I.P., New York, 1976) p. 105. See also ref. 33.Google Scholar
  37. 30.
    M. Dillig, R. Handel and M.G. Huber, to be published.Google Scholar
  38. 31.
    K. Klingenbeck, M. Dillig, H.M. Hofmann and M.G. Huber, to be published.Google Scholar
  39. 32.
    J.P. Maillet, J.P. Dedonder and C. Schmit, to be published.Google Scholar
  40. 33.
    E.J. Moniz, lectures at the NATO Advanced Study Institute on Theoretical Methods in Intermediate Energy and Heavy-Ion Physics, Madison, Wisconsin, June, 1978 (M.I.T. preprint).Google Scholar

Copyright information

© Plenum Press, New York 1979

Authors and Affiliations

  • J. M. Eisenberg
    • 1
    • 2
  1. 1.Dept. of Physics and AstronomyTel-Aviv UniversityTel-AvivIsrael
  2. 2.Dept. of PhysicsUniversity of VirginiaCharlottesvilleUSA

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