English

Quark-mass dependence of baryon resonances

Nuclear Theory 2010-12-16 v1

Abstract

We study the quark-mass dependence of J^P = \frac12^- s-wave and J^P = \frac32^- d-wave baryon resonances. Parameter-free results are obtained in terms of the leading order chiral Lagrangian. In the 'heavy' SU(3) limit with m_\pi =m_K \simeq 500 MeV the s-wave resonances turn into bound states forming two octets plus a singlet representations of the SU(3) group. Similarly the d-wave resonances turn into bound states forming an octet and a decuplet in this limit. A contrasted result is obtained in the 'light' SU(3) limit with m_\pi =m_K \simeq 140 MeV for which no resonances exist.

Keywords

Cite

@article{arxiv.nucl-th/0401035,
  title  = {Quark-mass dependence of baryon resonances},
  author = {M. F. M. Lutz and C. García-Recio and E. E. Kolomeitsev and J. Nieves},
  journal= {arXiv preprint arXiv:nucl-th/0401035},
  year   = {2010}
}

Comments

8 pages, three figures, talk presented at HYP2003