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Prog. Theor. Phys. Vol. 38 No. 6 (1967) pp. 1297-1318

[ Full Text PDF : FREE ACCESS (1055K) ]

Phenomenological Analysis of Pion Nucleon Scattering at High Energies

Ichita Endo, Miyo Ikeda, Masaaki Kawaguchi and Yoshio Sumi

Department of Applied Mathematics, Faculty of Engineering Science, Osaka University, Toyonaka

(Received July 10, 1967)

Abstract:

Pion nucleon scattering in the multi-GeV region is analyzed in a purely phenomenological way in the sense that any specific theoretical model is not introduced. The scattering amplitude including the spin flip part is appropriately parametrized and the numerical values of these parameters are determined. In particular, it is to be emphasized that the hitherto unknown parameter β (the real to imaginary ratio of the spin flip amplitude) is uniquely determined within the present experimental knowledge (β(+) = 0.7 for the π+p and β(-) = 0.8 for the π-p). Furthermore, an empirical formula for the scattering amplitude is proposed. This formula is valid for all angles and is able to explain most of the presently available data in the multi-GeV region. For example, polarization data on elastic scattering are fairly well reproduced. Complete phase shirt analysis is also performed and behaviours of the phase shifts and the absorption parameters are discussed.


URL : http://ptp.ipap.jp/link?PTP/38/1297/
DOI : 10.1143/PTP.38.1297

[ Full Text PDF : FREE ACCESS (1055K) ] Citation:

References:

  1. Y. Sumi, Prog. Theor. Phys. Suppl. Extra Number (1967), 3[PTP].
    The experimental data published up to October, 1966 are complied therein.
    For further data, see J. Orear, R. Rubinstein, D. S. Scarl, D. H. White, A. D. Krisch, W. R. Frisken, A. L. Read and H. Ruderman, Phys. Rev. 152 (1966), 1162[APS].
  2. M. Borghini, G. Coignet, L. Dick, K. Kuroda, L. Di Lella, P. C. Macq, A. Michalowicz and J. C. Olivier, Phys. Lett. B 24 (1967), 77[CrossRef].
    P. Bonamy, P. Borgeaud, C. Bruneton, P. Falk-Vairant, O. Guisan, R. Sonderegger, C. Caverzasio, J. P. Guillaud, J. Schneider, M. Yvert, I. Mannelli, F. Segiampietri and L. Vincelli, Phys. Lett. 23 (1966), 501[CrossRef].
  3. S. J. Lindenbaum, Invited paper at Coral Gables on Symmetry Principle, January, 1967. K. J. Foley, R. S. Jones, S. J. Lindenbaum, W. A. Love, S. Ozaki, E. D. Platner, C. A. Quarles and E. H. Willen, Phys. Rev. Lett. 19 (1967), 193[APS].
  4. J. Orear, Phys. Rev. Lett. 12 (1964), 112[APS].
  5. Kanada and Yasuno have independently obtained results similar to but slightly different from ours. H. Kanada and M. Yasuno, Prog. Theor. Phys. 38 (1967), 907[PTP].
  6. Y. Sumi, Prog. Theor. Phys. 35 (1966), 573[PTP].
  7. Y. Higuchi and S. Machida, Prog. Theor. Phys. 36 (1966), 313[PTP].
    M. Hama and M. Kawaguchi, Prog. Theor. Phys. 36 (1966), 1154[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 39 No. 5 (1968) pp. 1193-1208 :
    Absorption Correction in High Energy Photoproduction of π+
    Tadashi Yano
  2. Progress of Theoretical Physics Vol. 41 No. 1 (1969) pp. 88-104 :
    A Phenomenological Representation of High Energy Scattering of Hadrons
    Masao Shiohara
  3. Progress of Theoretical Physics Vol. 41 No. 5 (1969) pp. 1238-1246 :
    Correction to One-Particle-Exchange Contribution and Two-Body Reaction at High Energy
    Mitsuru Hama, Atsuko Iwaki, Tohru Sokawa and Haruo Suzuki
  4. Progress of Theoretical Physics Vol. 44 No. 4 (1970) pp. 959-976 :
    π+p →π0N*++ Reaction at High Energy and Correction to ρ-Exchange Contribution
    Mitsuru Hama and Atsuko Iwaki

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