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Dynamics of the d32 Unitary Multiplets

J. J. Brehm

  • Department of Physics, Northwestern University, Evanston, Illinois

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 JP=32 state is proposed to support the conjecture of Glashow and Rosenfeld that the N**(1512) 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 d32 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 f, the Yukawa mixing parameter. It is found that, for f=0.326, 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 θ*=45°; the Yukawa mixing parameter is f*=0.428. The N**Nπ coupling constant is computed to be g*2(4π)=0.150 mπ2, which may be compared with the observed N** width.

References (12)

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