Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2003-05-30
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 $J^P=1/2^-$.
Garcia-Recio Carmen
Lutz Matthias F. M.
Nieves Juan
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