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Prog. Theor. Phys. Vol. 99 No. 6 (1998) pp. 1031-1044

[ Full Text PDF : FREE ACCESS (718K) ]

Relation between Scattering and Production Amplitudes

— Concerning σ Particle in ππ System —

Muneyuki Ishida, Shin Ishida* and Taku Ishida**

Department of Physics, University of Tokyo , Tokyo 113, Japan
*Atomic Energy Research Institute, College of Science and Technology
Nihon University, Tokyo 101, Japan
**KEK, Tsukuba 305, Japan

(Received March 1, 1998)

Abstract:

In a series of previous papers the present authors and collaborators have shown strong evidence for existence of the long-sought σ particle by analyzing the ππ-scattering and ππ-production processes, applying, respectively, the IA method and the VMW method. In this paper we examine the relation between the scattering amplitude T and the production amplitude F from the viewpoint of unitarity and the final state interaction (FSI) theorem by using a simple field theoretical model. As a result it is shown that the amplitudes in the physical state representation are directly represented through the Breit-Wigner amplitudes of the relevant resonances, and the respective forms of T and F coincide with those in the IA and VMW methods, justifying our methods of analyses.


URL : http://ptp.ipap.jp/link?PTP/99/1031/
DOI : 10.1143/PTP.99.1031

[ Full Text PDF : FREE ACCESS (718K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 104 No. 1 (2000) pp. 203-210 :
    Effect of Light σ-Meson Production in p\barp→ 3π0 at Rest
    Muneyuki Ishida, Toshihiko Komada, Shin Ishida, Taku Ishida, Kunio Takamatsu and Tsuneaki Tsuru

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