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Prog. Theor. Phys. Vol. 11 No. 2 (1954) pp. 213-218

[ Full Text PDF : FREE ACCESS (367K) ]

An Invariance Theorem for Cross Sections of Meson-Nucleon Scattering

Shigeo Minami

Department of Physics, Osaka University

(Received February 22, 1954)

Abstract:

We have certain points to bear in mind when we try to determine the values of phase shifts from experimental data for meson-nucleon scattering. Even if we could obtain an exact knowledge of the differential cross section for this process and, in analysing this, take into account high orbital angular momenta of meson, it will be found that two equally possible sets of solutions are in existence as phase shift. This ambiguity is of a fundamental character, has its origin in certain properties of the spherical harmonics and of the spin function and apparently remains unnoticed in the numerical analysis of Fermi and Yang.


URL : http://ptp.ipap.jp/link?PTP/11/213/
DOI : 10.1143/PTP.11.213

[ Full Text PDF : FREE ACCESS (367K) ] Citation:

References:

  1. H. L. Anderson, E. Fermi, R. Martin and D. E. Nagle, Phys. Rev. 91 (1953), 155[APS].
  2. D. Bodansky, A. M. Sachs and J. Steinberger, Phys. Rev. 90 (1953), 997[APS].
  3. J. P. Perry and C. E. Angell, Phys. Rev. 91 (1953), 1289[APS].
  4. W. B. Fowler, R. M. Lea, W. D. Shephard, R. P. Shutt, A. M. Thorndike and W. L. Whittemore, Phys. Rev. 92 (1953), 832[APS].
  5. S. W. Barnes, C. E. Angell, J. P. Perry, D. Miller, J. Ring and D. Nelson, Phys. Rev. 92 (1953), 1327[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 11 No. 3 (1954) pp. 332-333 :
    Kinematical Studies of Pion-Nucleon Interactions
    Satio Hayakawa, Masaaki Kawaguchi and Shigeo Minami
  2. Progress of Theoretical Physics Vol. 12 No. 1 (1954) pp. 79-93 :
    Theoretical Analysis of Pion-nucleon Scattering
    Nobuyuki Fukuda, Shigeo Goto, Susumu Okubo and Katuro Sawada
  3. Progress of Theoretical Physics Vol. 12 No. 3 (1954) pp. 355-362 :
    Kinematical Investigations of Meson-Nucleon Reactions
    Satio Hayakawa, Masaaki Kawaguchi and Shigeo Minami
  4. Progress of Theoretical Physics Vol. 12 No. 6 (1954) pp. 789-801 :
    On the Relation between Meson-Nucleon Scattering and Photomeson Production
    Masaaki Kawaguchi and Shigeo Minami
  5. Progress of Theoretical Physics Vol. 17 No. 5 (1957) pp. 651-658 :
    The Photon-Nucleon Scattering
    Shigeo Minami and Yoshio Yamaguchi
  6. Progress of Theoretical Physics Vol. 28 No. 2 (1962) pp. 215-232 :
    Investigations on the Second and Third Resonances in Terms of Compound States
    Hirofumi Hayashi, Hisaichiro Okonogi, Shoichiro Otsuki and Yoshio Sumi
  7. Progress of Theoretical Physics Vol. 29 No. 4 (1963) pp. 609-610 :
    A Note on the Generalization of the Minami Ambiguity
    Ching-Hung Woo
  8. Progress of Theoretical Physics Vol. 31 No. 5 (1964) pp. 933-935 :
    Spirality Inversion and the Uniqueness of Phase Shifts in Nucleon-Nucleon Scattering
    Masaaki Kawaguchi, Tamotsu Ueda and Wataro Watari
  9. Progress of Theoretical Physics Vol. 50 No. 2 (1973) pp. 554-559 :
    Note on Phenomenological Analysis of K-N (π-N) Scattering
    Shigeo Minami

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