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Dynamics of the Unitary Multiplets
Phys. Rev. 136, B216 – Published 12 October, 1964
DOI: https://doi.org/10.1103/PhysRev.136.B216
Abstract
A dynamical model of pseudoscalar meson-baryon scattering in the state is proposed to support the conjecture of Glashow and Rosenfeld that the resonance is a member of a unitary-symmetry octet. The dynamical mechanism analyzed here is based on the Cook-Lee model of the higher pion-nucleon resonances. It is shown that the coupling to inelastic vector meson-baryon states in a generalized two-channel formalism yields an octet of resonances and a unitary singlet as well. The baryon, pseudoscalar-meson, and vector-meson octets are each assumed degenerate, so that the Cook-Lee model is immediately adaptable to an analysis of resonant unitary multiplets as a function of , the Yukawa mixing parameter. It is found that, for , the attraction is slightly greater for the octet than for the singlet. The 2×2 octet amplitude is diagonalized by a rotation through an angle ; the Yukawa mixing parameter is . The coupling constant is computed to be , which may be compared with the observed width.
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Omitted endnote
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