Resonance Families and Local Duality Relations in the Meson-Baryon Scattering : Particles and Fields

概要

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The local duality relations proposed previously are applied systematically to the P_8-B_8 scattering, where P_8 and B_8 denote the 0^- unitary octet and 1/2^+ one, respectively. The system of the relations involves the harmonic-oscillator spectrum of SU(6)⊗O(3)_L multiplets, and for a process with one exotic channel (the exotic u-channel), the relation relates the s-channel resonance family N_s with the t-channel one N_t in terms of residues of the scattering amplitude at s- and t-channel resonances a and b (a∈N_s, b∈N_t) in the narrow-width approximation. The resonance family N_s (N_t) is defined to be a set of s-(t-) channel resonances with a fixed total number N_s (N_t) of quanta of harmonic-oscillator excitations. The system of the relations is powerful in predicting mass ratios and coupling ratios for resonances. It is found that predictions are consistent with available experiments. Some discussion is made on the present results and previous successes in a work where we obtained a uniquely determined π^-π^+⇾π^-π^+ dual Born amplitude, starting with the most general Veneziano-type amplitude and restricting parameters in it by the system of the relations and an asymptotic convergence condition.
理論物理学刊行会の論文
1989-11-25