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Prog. Theor. Phys. Vol. 45 No. 2 (1971) pp. 513-529

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Super Exclusion Principle for Hadronic Processes. II *

Masako Bando and Shigeru Machida

Department of Physics, Kyoto University, Kyoto

(Received August 10, 1970)

Abstract:

In this paper hadrons are assumed to be composed of urbaryons which obey definite statistics. The exclusion principle, acting between pairs of urbaryons or antiurbaryons contained in the different hadrons in the s-, t- and u-channel, gives definite contributions to reaction amplitudes for hadronic processes (which may be called the “super exclusion principle”). Calculations are performed, assuming that the urbaryons are represented by a local field with the Fermi-Dirac statistics for definiteness. Effects of the super exclusion principle are expressed, in the short range approximation discussed in §2, by the original amplitude smoothed by the convolution with the Fourier transform of the internal wave function of the hadron. Effects depend critically on the number of urbaryons and anti-urbaryons contained in the hadrons: and are shown generally to appear in the low partial waves at low energies. The largest effect appears in the S-state with the sign inverse to the original S-wave amplitude. By using the Veneziano amplitude as the original amplitude, it is shown that the effects of the super exclusion principle damp very rapidly at high energies. An exception is the case of meson-meson scattering where the effects have the same energy dependence as the original amplitude.
Therefore we expect the existence of the low partical wave (or S-wave) anomaly for most hadronic processes. This anomaly seems to exist actually for KN, πN and NN scattering, and is considered to be the strong support for the composite theory of hadrons. Comparison of the effects of the super exclusion principle with experimental data are made semi-quantitatively for KN, KN, πN and NN scatterings. Unitary spin is considered in §5, and it is shown that the deviation from the Okubo-Iizuka rule is small for the strong decay of a meson into two mesons.
Analytic properties of the contribution of the super exclusion principle are also investigated. It is shown that they give an imaginary part for exotic channels as well as for nonexotic channels and destroy duality.


URL : http://ptp.ipap.jp/link?PTP/45/513/
DOI : 10.1143/PTP.45.513


* For convenience of publication this paper was separated into two parts. The first part is published in Vol. 45 No. 1. (See Ref. 1.)

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 45 No. 1 (1971) pp. 147-165 :
    Super Exclusion Principle for Hadronic Processes. I *
    Masako Bando and Shigeru Machida
  2. Progress of Theoretical Physics Vol. 47 No. 2 (1972) pp. 626-647 :
    Dual Realistic Quark Model
    Masako Bando, Shigeru Machida, Hisao Nakkagawa and Koichi Yamawaki
  3. Progress of Theoretical Physics Vol. 47 No. 6 (1972) pp. 2015-2039 :
    Theory of the Reactions of the Composite Particles
    Shigeru Machida

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