Prog. Theor. Phys. Vol. 46 No. 3 (1971) pp. 938-967

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Hadronic Scattering Amplitudes in the Quark Model. II

— Introduction of Spins of Quarks and Analytic Properties of Dual and Diffractive Amplitudes —

Tsunehiro Kobayashi

Department of Physics, Tokyo University of Education, Tokyo

(Received December 22, 1970)

Abstract:

Dual and Diffractive amplitudes are discussed in the unified description in terms of the quark model proposed in a previous paper (I). Introduction of spins and unitary spins of quarks and analytic properties of dual and diffractive amplitudes are investigated in meson-meson and meson-baryon scatterings. It is indicated that there are some possibilities for the analytic properties of the dual H type diagram, i.e., not only a pole-pole correspondance like the Veneziano amplitude but also a pole-cut correspondence and a cut-cut one. The Z type diagram in meson-baryon scattering is also studied and it is shown that the Z type diagram leads to only a pole-pole duality like the Veneziano amplitude except fixed cuts in the spin part of the amplitude. As for diffractive amplitudes, the generalized form of the Wu-Yang conjecture is derived. Baryon-antibaryon (baryon) scattering is also discussed.

URL : http://ptp.ipap.jp/link?PTP/46/938/
DOI : 10.1143/PTP.46.938

References:

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Citing Article(s) :

Progress of Theoretical Physics Vol. 48 No. 5 (1972) pp. 1618-1635 :
Diffractive N^* Productions in the Quark Model

Tsunehiro Kobayashi, Nobuyuki Nakamaru and Kikuo Saitō
Progress of Theoretical Physics Vol. 51 No. 4 (1974) pp. 1152-1158 :
Electromagnetic Elastic Nucleon Form Factors in a Relativistic Quark Model

M. Blagojević and D. Lalović