Relation between Scattering and Production Amplitudes -- Case of sigma and kappa in pipi and Kpi Systems --

Abstract

In our talk at Nihon university symposium, we have argued that the pipi / Kpi production amplitudes F generally have different structures from those of the pipi / Kpi scattering amplitudes T from a viewpoint of generalized S matrix on the right bases, reflecting the quark-physical picture of strong interactions, and that F should be analyzed independently from T. Here we discuss the miscellaneous topics related with this argument: The conventional analyses by K matrix method, which necessarily lead to the common phases and structures through both T and F, are based on improper application of elastic unitarity to the production processes. Recent criticisms on the method of analyses of J/psi -> omega pipi and D+ -> K- pi+ pi+, which led to the existence of sigma and kappa, respectively, are also based on improper application of elastic unitarity.