English

Quark mass dependence of s-wave baryon resonances

Nuclear Theory 2009-07-09 v3 High Energy Physics - Phenomenology

Abstract

We study the quark mass dependence of JP=12J^P = \frac12^- s-wave baryon resonances. Parameter free results are obtained in terms of the leading order chiral Lagrangian. In the 'heavy' SU(3) limit with mπ=mKm_\pi =m_K \simeq 500 MeV the resonances turn into bound states forming two octets plus a singlet representations of the SU(3) group. A contrasted result is obtained in the 'light' SU(3) limit with mπ=mKm_\pi =m_K \simeq 140 MeV for which no resonances exist. Using physical quark masses our analysis suggests to assign to the S=2S=-2 resonances Ξ(1690)\Xi(1690) and Ξ(1620)\Xi(1620) the quantum numbers JP=1/2J^P=1/2^-.

Keywords

Cite

@article{arxiv.nucl-th/0305100,
  title  = {Quark mass dependence of s-wave baryon resonances},
  author = {C. Garcia-Recio and M. F. M. Lutz and J. Nieves},
  journal= {arXiv preprint arXiv:nucl-th/0305100},
  year   = {2009}
}

Comments

4 pages, 2 figure