Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-05-14
Prog.Theor.Phys. 99 (1998) 1031-1044
Physics
High Energy Physics
High Energy Physics - Phenomenology
14 pages, 5 eps figures, uses ptptex.sty. To be published in Progress of Theoretical Physics
Scientific paper
10.1143/PTP.99.1031
In a series of previous papers the present authors and collaborators have shown strong evidence for existence of the long-sought sigma-particle by analyzing the pi pi-scattering and pi pi-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 the 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.
Ishida Muneyuki
Ishida Shin
Ishida Taku
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