Masses of $[70,{\ell }^{+}]$ Baryons in the $1/N_c$ Expansion

Abstract

The masses of positive $[70,0^{+}]$ and $[70,2^{+}]$ nonstrange and strange baryons are calculated in the $1/N_c$ expansion. The approach is based on the separation of a system of $N_c$ quarks into an excited core and an excited quark. The previous work for two flavor baryons is now extended to include strange baryons, to first order in SU(3)-flavor breaking. We show that the extension to $N_f=3$ maintains the regularities previously observed in the behaviour of the linear term in $N_c$, of the spin-spin and of the spin-orbit terms. In particular the contribution of the spin-dependent terms decrease with the excitation energy, the dominant term remaining the spin-spin term.

arXiv comment20 pages, 6 tables, RevTeX4, published version

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