V-P-P Vertex in the Dynamical Composite Model

概要

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The V(Vector meson)-P(Pseudoscalar meson)-P(Pseudoscalar meson) vertex is examined on the basis of the composite model in which we consider explicitly the structure of mesons participating in the V→P+P decay process. Our basic assumptions are as follows. (a) A hadron is constructed from urbaryons which are spin 1/2 fermions. (b) Internal motion of urbaryons in a hadron is non-relativistic. (c) Urbaryons are bound by a square-well potential with depth parameter V_0 and range a. (d) The interactive force is identical to the constructive force. (e) The spatial wave function of bound urbaryon system is of an exponential type. We obtain the following dynamical parameters: m≒1GeV,V_0≒2GeV,a≒1.0GeV^<-1>~1.2GeV^<-1>a≒1.6GeV~2.0GeV by comparing the experimental value of the coupling constant with the effective coupling constant G_<eff> which is obtained as a function of the parameters (the mass of urbaryon, m, the potential depth, V_0, the potential range, a, and the parameter of spatial wave function, α).
理論物理学刊行会の論文
1969-01-25