Excited ${\bf (70,1^-)}$ baryon resonances in the relativistic quark model

Abstract

The relativistic three-quark equations of the ${\bf (70,1^-)}$ baryons are found in the framework of the dispersion relation technique. The approximate solutions of these equations using the method based on the extraction of leading singularities of the amplitude are obtained. The calculated mass values of the ${\bf (70,1^-)}$ multiplet are in good agreement with the experimental ones.