Abstract

We consider in detail the mass operator analysis for the nonstrange $l=1$ excited baryons in large ${N}_{c}$ QCD. We present a straightforward procedure for constructing the large ${N}_{c}$ baryon wave functions, and provide complete analytic expressions for the matrix elements of all the independent isosinglet mass operators. We discuss the relationship between the old-fashioned operator analyses based on nonrelativistic SU(6) symmetry and the modern large ${N}_{c}$ approach, which has a firmer theoretical foundation. We then suggest a possible dynamical interpretation for the subset of operators preferred strongly by the data.

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