S-3 and the L=1 baryons in the quark model and the chiral quark model - art. no. 094010

The S-3 symmetry corresponding to permuting the positions of the quarks wit hin a baryon allows us to study the 70-plet of L=1 baryons without an expli cit choice for the spatial part of the quark wave functions: given a set of operators with definite transformation properties under the spin-flavor gr oup SU(3)xSU(2) and under this S-3, the masses of the baryons can be expres sed in terms of a small number of unknown parameters which are fit to the o bserved L=1 baryon mass spectrum. This approach is applied to study both th e quark model and chiral constituent quark model. The latter theory leads t o a set of mass perturbations which more satisfactorily fits the observed L =1 baryon mass spectrum (though we can say nothing, within our approach, ab out the physical reasonableness of the parameters in the fit). Predictions for the mixing angles and the unobserved baryon masses are given for both m odels as well as a discussion of specific baryons.[S0556-2821(99)01907-4].