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Quark mass dependence of s-wave baryon resonances

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arxiv nucl-th/0305100 v3 pith:WVZIPKUK submitted 2003-05-30 nucl-th hep-ph

C. Garcia-Recio , M.F.M. Lutz , J. Nieves This is my paper · ORCID
classification nucl-thhep-ph
keywords resonancesquarkbaryondependencelimitmassobtaineds-wave
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Forward citations

Cited by 5 Pith papers

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