On meson resonances and chiral symmetry

Details On meson resonances and chiral symmetry On meson resonances and chiral symmetry

2003-07-09

arxiv.org/abs/nucl-th/0307039v3

Nucl.Phys.A730:392-416,2004

Physics

Nuclear Physics

Nuclear Theory

29 pages, 6 figures, more detailed discussions are given

Scientific paper

10.1016/j.nuclphysa.2003.11.009

We study meson resonances with quantum numbers J^P=1^+ in terms of the chiral SU(3) Lagrangian. At leading order a parameter-free prediction is obtained for the scattering of Goldstone bosons off vector mesons with J^P=1^- once we insist on approximate crossing symmetry of the unitarized scattering amplitude. A resonance spectrum arises that is remarkably close to the empirical pattern. In particular, we find that the strangeness-zero resonances h_1(1380), f_(1285) and b_1(1235) are formed due to strong K \bar K_\mu and \bar K K_\mu channels. This leads to large coupling constants of those resonances to the latter states.

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