English

On meson resonances and chiral symmetry

Nuclear Theory 2010-12-16 v3

Abstract

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.

Keywords

Cite

@article{arxiv.nucl-th/0307039,
  title  = {On meson resonances and chiral symmetry},
  author = {M. F. M. Lutz and E. E. Kolomeitsev},
  journal= {arXiv preprint arXiv:nucl-th/0307039},
  year   = {2010}
}

Comments

29 pages, 6 figures, more detailed discussions are given