Quark mass dependence of s-wave baryon resonances

Details Quark mass dependence of s-wave baryon resonances Quark mass dependence of s-wave baryon resonances

2003-05-30

arxiv.org/abs/nucl-th/0305100v3

Phys.Lett.B582:49-54,2004

Physics

Nuclear Physics

Nuclear Theory

4 pages, 2 figure

Scientific paper

10.1016/j.physletb.2003.11.073

We study the quark mass dependence of $J^P = \frac12^-$ s-wave baryon resonances. Parameter free results are obtained in terms of the leading order chiral Lagrangian. In the 'heavy' SU(3) limit with $m_\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 $m_\pi =m_K \simeq $ 140 MeV for which no resonances exist. Using physical quark masses our analysis suggests to assign to the $S=-2$ resonances $\Xi(1690)$ and $\Xi(1620)$ the quantum numbers $J^P=1/2^-$.

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