Quark-antiquark resonances in the NJL model
V. Bernard, A. H. Blin, B. Hiller, Yu. P. Ivanov, A. A. Osipov, Ulf-G. Meißner
Abstract
The problem of the ρ meson resonance solution in the extended NJL model is studied. It has been shown previously that the solution for the ρ meson changes smoothly from a bound state to a "virtual state" when the vector channel attraction becomes too weak to support bound state solutions. We have found that together with these solutions a separate resonance branch appears which is not connected smoothly with the bound state solutions. At small values of constituent quark mass, m 200 MeV, it corresponds to the physical vector meson resonance solution in the quark-continuum region. The a1 and σ resonances are also discussed.
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