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arXiv · 1804.07840

Towers of baryons of the ${\cal N}=2$ quark model band in the large $N_c$ limit

C. T. Willemyns·N. N. Scoccola
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Abstract

We performed a complete analysis of the spectrum of all the states in the ${\cal N}=2$ quark model harmonic oscillator band with $N_f=3$ in the large $N_c$ limit including the often disregarded antisymmetric multiplet $[{\bf 20},1^+]$. We included configuration mixing effects. We found that the states in the $[{\bf 56},L^+]$ and $[{\bf 70},L^+]$ with $L=0,2$ fall into nine towers of degenerate states. We found that nonstrange antisymmetric states fall into three towers and respond to the same structure as the states in the $[{\bf 70},1^-]$ multiplet. We also showed explicitly the compatibility of these results and the scattering resonance picture.

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C. T. Willemyns, N. N. Scoccola. 2018-04-20. Towers of baryons of the ${\cal N}=2$ quark model band in the large $N_c$ limit. https://doi.org/10.1103/physrevd.98.034019

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