Model calculation for the Y0*(1405) resonance state

Abstract

The Y0*(1405) resonance state is considered in terms of a multichannel potential arising from vector meson (V) exchange between the baryon octet (B) and the pseudoscalar meson octet (P). The interactions are assumed to follow SU(3) symmetry; the only symmetry breaking included is that arising from the PB threshold separations, due to the P and B mass splittings. The resonance mass corresponds to a reasonable value (f24π=1.25) for the VPP coupling; the width then calculated is 27 MeV, comparable with the empirical value. The unitary impurities found in this Y0*(1405) state are quite small, the octet admixtures being dominant and only 15% in total intensity. The effective range calculated for the K̄N scattering length is not large, being of order 1mV. The relationship between the various choices possible for the definition of the resonance energy is also discussed explicitly for this case. © 1967 The American Physical Society.