Quark-mass dependence of baryon resonances

Abstract

We study the quark-mass dependence of J P = 1 2 − s-wave and J P = 3 2 − d-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 ≃ 500 MeV the s-wave resonances turn into bound states forming two octets plus a singlet representations of the SU(3) group. Similarly the d-wave resonances turn into bound states forming an octet and a decuplet in this limit. A contrasted result is obtained in the ‘light’ SU(3) limit with m π = m K ≃ 140 MeV for which no resonances exist.