SU(3) Baryon Resonance Multiplets in Large N_c QCD

Abstract

We extend the recently developed treatment of baryon resonances in large N_c QCD to describe resonance multiplets collected according to the SU(3) flavor symmetry that includes strange quarks. As an illustration we enumerate the SU(3) partners of a hypothetical J^P = 1/2^{+/-} resonance in the SU(3) representation that reduces to 10-bar when N_c = 3, and reproduce results hitherto obtained only in the context of a large N_c quark picture. While these specific quantum numbers represent one favored set for the possible pentaquark state Theta^+ (1540), the method is applicable to baryon resonances with any quantum numbers.