Relativistic ChPT at NLO with resonance saturation yields a good combined fit to hyperon non-leptonic s- and p-wave decay amplitudes.
Quark mass dependence of s-wave baryon resonances
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abstract
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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Hyperon non-leptonic decays in relativistic Chiral Perturbation Theory with resonances
Relativistic ChPT at NLO with resonance saturation yields a good combined fit to hyperon non-leptonic s- and p-wave decay amplitudes.