Highly excited states of baryons in large $N_c$ QCD

TL;DR

This paper calculates the masses of highly excited negative parity baryons in the N=3 band using the 1/Nc expansion of QCD, highlighting the dominance of spin and flavor terms and analyzing coefficient trends.

Contribution

It introduces a streamlined method to derive baryon mass formulas with few operators and applies it to the N=3 band, extending previous work on lower bands.

Findings

Pure spin and flavor terms dominate the mass expansion.

Dynamical coefficients show systematic trends with excitation energy.

The approach simplifies the analysis of highly excited baryons.

Abstract

The masses of highly excited negative parity baryons belonging to the $N$ = 3 band are calculated in the $1/N_c$ expansion method of QCD. We use a procedure which allows to write the mass formula by using a small number of linearly independent operators. The numerical fit of the dynamical coefficients in the mass formula show that the pure spin and pure flavor terms are dominant in the expansion, like for the $N$ = 1 band. We present the trend of some important dynamical coefficients as a function of the band number $N$ or alternatively of the excitation energy.