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Prog. Theor. Phys. Vol. 53 No. 3 (1975) pp. 677-691

[ Full Text PDF : FREE ACCESS (1362K) ]

α-α Scattering at Intermediate Energies

— Applicability of Orthogonality Condition Model and Upper Limit of Isoscalar Meson-Nucleon Coupling Constants Inferred from Potential Tail —

Fumiya Tanabe, Akihiro Tohsaki* and Ryozo Tamagaki**

Research Institute for Fundamental Physics, Kyoto University, Kyoto
*Faculty of Textile Science and Technology, Shinshu University, Ueda
**Department of Physics, Kyoto University, Kyoto

(Received September 30, 1974)

Abstract:

Intermediate energy α-α scattering is studied by the resonating group method with the Coulomb exchange kernel, in order to resolve the discrepancy between the potential tail for the S, D and G waves and that for higher partial waves which was reported in a previous phenomenological analysis but hardly understandable from a microscopic point of view. It is shown that this discrepancy can be removed if we employ the new solution of the phase shift analysis. Validity of the orthogonality condition model in the inelastic region is shown if a suitable imaginary potential is added to the direct potential. The real phase shifts of the I-wave dominated by the direct potential tail restrict the coupling constants of isoscalar mesons with nucleon as gσ2/4π=3.5→6 and gω2/4π=8→11.


URL : http://ptp.ipap.jp/link?PTP/53/677/
DOI : 10.1143/PTP.53.677

[ Full Text PDF : FREE ACCESS (1362K) ] Citation:


References:

  1. J. Hiura and R. Tamagaki, Prog. Theor. Phys. Suppl. No. 52 (1972), 25[PTP].
  2. a) R. Tamagaki and H. Tanaka, Prog. Theor. Phys. 34 (1965), 191[PTP].
    b) R. Tamagaki, Prog. Theor. Phys. Suppl. Extra Number (1968), 242[PTP].
  3. S. Okai and S. C. Park, Phys. Rev. 145 (1966), 787[APS].
  4. a) O. Endo, I. Shimodaya and J. Hiura, Prog. Theor. Phys. 31 (1964), 1157[PTP].
    b) P. Darriulat, G. Igo, H. G. Pugh and H. D. Holmgren, Phys. Rev. 137 (1965), B315[APS].
    c) S. Ali and A. R. Bodmer, Nucl. Phys. 80 (1966), 99[CrossRef].
  5. S. Saito, Prog. Theor. Phys. 41 (1969), 705[PTP].
  6. F. Tanabe, A. Tohsaki and R. Tamagaki, Soryusiron Kenkyu (mimeographed circular in Japanese) 46 (1973), 615.
  7. A. D. Bacher, F. G. Resmini, H. E. Conzett, R. de Swiniarski, H. Meiner and J. Ernst, Phys. Rev. Lett. 29 (1972), 1331[APS].
  8. A. C. Butcher and J. M. McNamee, Proc. Phys. Soc. A 74 (1959), 529.
  9. A. Hasegawa and S. Nagata, Prog. Theor. Phys. 45 (1971), 1786[PTP].
  10. R. Tamagaki, Prog. Theor. Phys. 39 (1968), 91[PTP].
  11. A. B. Volkov, Nucl. Phys. 74 (1965), 33[CrossRef].
  12. A. Herzenberg and A. S. Roberts, Nucl. Phys. 3 (1957), 314[CrossRef].
  13. S. Ogawa, S. Sawada, T. Ueda, W. Watari and M. Yonezawa, Prog. Theor. Phys. Suppl. No. 39 (1967), 140[PTP].
  14. N. Hoshizaki and T. Kadota, Prog. Theor. Phys. 50 (1973), 1313[PTP].
  15. T. Ueda, “The Nuclear Many-Body Problem”, Proceedings of the International Symposium on “Present Status and Novel Developments in the Nuclear Many-Body Problem” Rome, 1972 (Editrice Composition, Bologna, 1973), p. 3.
  16. T. Obinata and M. Wada, Prog. Theor. Phys. 53 (1975), 732[PTP].

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