Excited $[70,{\mathbf{\ell }}^{+}]$ baryons in large $N_c$ QCD

Abstract

The masses of the positive parity $[70,0^{+}]$ and $[70,2^{+}]$ non-strange baryons are calculated in large $N_c$ QCD by considering the most dominant operators in an $1/N_c$ expansion. The approach is based on the introduction of an excited core, obtained after the last particle (an excited quark) has been removed. Configuration mixing is neglected, for simplicity. Although being a sub-leading $1/N_c$ order, we find that the spin-spin interaction plays a dominant role in describing the data. The role of $N_c^0$ operators is also pointed out. We show how the contribution of the linear term in $N_c$, of the spin-spin and spin-orbit terms vary with the excitation energy.

arXiv comment11 pages, 3 figures, LaTeX, uses espcrc1.sty (included), correspond with the published version

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• Updated $1/N_c$ expansion analysis of $[56,2^{+}]$ and $[70,{\mathbf{\ell }}^{+}]$ baryon multiplets
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• Negative parity baryons in the $1/N_c$ expansion: the three towers of states revisited
• Pion Electroproduction Amplitude Relations in the 1/N_c Expansion
• Towers of baryons of the $\mathcal{N}=2$ quark model band in the large $N_c$ limit
• Group theoretical study of nonstrange and strange mixed symmetric baryon states $[N_c-1,1]$ in the $1/N_c$ expansion
• Masses of $[70,{\ell }^{+}]$ baryons in large $N_c$ QCD
• SU(3) flavor symmetry breaking in large $N_c$ excited hyperons
• Excited $[70,{\ell }^{+}]$ baryon resonances in large $N_c$ QCD