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Quark mass dependence of s-wave baryon resonances

C. Garcia-Recio·M. F. M. Lutz·J. Nieves
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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_π=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_π=m_K \simeq $ 140 MeV for which no resonances exist. Using physical quark masses our analysis suggests to assign to the $S=-2$ resonances $Ξ(1690)$ and $Ξ(1620)$ the quantum numbers $J^P=1/2^-$.

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C. Garcia-Recio, M. F. M. Lutz, J. Nieves. 2003-12-16. Quark mass dependence of s-wave baryon resonances. https://doi.org/10.1016/j.physletb.2003.11.073

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