Highly excited states of baryons in large $N_c$ QCD

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.