Charmed ${\bf (70,1^-)}$ baryon multiplet

TL;DR

This paper calculates the masses of negative parity $(70,1^-)$ charmed baryons using a relativistic quark model and dispersion relations, achieving results consistent with experimental data.

Contribution

It introduces a relativistic three-quark equation framework for $(70,1^-)$ charmed baryons and provides approximate solutions based on leading singularities.

Findings

Calculated masses agree with experimental data

Developed a relativistic three-quark equation approach

Used dispersion relation technique for baryon mass calculations

Abstract

The masses of negative parity $(70,1^-)$ charmed nonstrange baryons are calculated in the relativistic quark model. The relativistic three-quark equations of the $(70,1^-)$ charmed baryon multiplet 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 $(70,1^-)$ charmed baryons are in good agreement with the experimental data.