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Prog. Theor. Phys. Vol. 37 No. 1 (1967) pp. 107-116

[ Full Text PDF : FREE ACCESS (711K) ]

Statistical Potential Model

Shigeru Machida,* Mikio Namiki** and Ichiro Ohba**

*Department of Physics, Kyoto Uniersity, Kyoto
**Department of Physics, Waseda University, Tokyo

(Received September 26, 1966)

Abstract:

The statistical potential moel for high energy elastic scattering is proposed in order to account for large angle scattering in a unified framework describing the real part of the forward elastic scattering amplitude. The whole amplitude is considered to be decomposed into two parts: one is the pure imaginary shadow scattering amplitude and the other the statistical potential scattering amplitude. The statistical potential scattering amplitude T(c) is formulated under the assumption that many scattering centers are produced when the central collision occurs, and that the distribution of these scattering centers is determined by a distribution function subject to some statistical law. The amplitude T(c) can be treated in analogy to the theory of neutron scattering by crystal. Some empirical formulas can be reproduced from rather natural assumptions on the correlation function of the above system of scattering centers.


URL : http://ptp.ipap.jp/link?PTP/37/107/
DOI : 10.1143/PTP.37.107

[ Full Text PDF : FREE ACCESS (711K) ] Citation:

References:

  1. L. Van Hove, Nuovo Cim. 28 (1963), 798; Rev. Mod. Phys. 36 (1964), 655[APS].
  2. M. Namiki, Prog. Theor. Phys. 33 (1965), 92[PTP].
  3. A. Adachi, Y. Fujimoto, K. Fujimura, A. Mori, S. Otsuki and H. Yagisawa, Prog. Theor. Phys. to be published.
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  7. A. Białas and V. F. Weisskopf, Nuovo Cim. 35 (1965), 1211.
  8. G. A. Armoudian, D. Ito and K. Mori, Nuovo Cim. 37 (1965), 1739.
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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 38 No. 2 (1967) pp. 431-448 :
    Dynamical Statistical Model of High Energy Elastic Scattering
    Mikio Namiki and Ichiro Ohba
  2. Progress of Theoretical Physics Vol. 45 No. 1 (1971) pp. 147-165 :
    Super Exclusion Principle for Hadronic Processes. I *
    Masako Bando and Shigeru Machida
  3. Progress of Theoretical Physics Vol. 45 No. 2 (1971) pp. 513-529 :
    Super Exclusion Principle for Hadronic Processes. II *
    Masako Bando and Shigeru Machida

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