Isospin mass splittings of heavy baryons in HQS

TL;DR

This paper analyzes electromagnetic mass differences in heavy baryons using heavy quark symmetry, deriving mass difference equations and predicting unknown baryon masses based on existing data.

Contribution

It introduces new mass difference equations for heavy baryons and predicts masses of certain baryons, expanding understanding within heavy quark symmetry frameworks.

Findings

Derived two key mass difference equations for heavy baryons.

Predicted masses of ^0, ^0, and c^{++} baryons.

Analyzed electromagnetic effects ignoring hyperfine interactions.

Abstract

In this paper, the electromagnetic mass differences of heavy hadrons are discussed, while ignoring the relevant hyperfine interactions. The effects of one-photon exchange interaction and up-down quark mass difference are parameterized. Two mass difference equations 2\Sigma_c^+ - (\Sigma_c^{++} + \Sigma_c^0) = 2\Sigma_b^0 - (\Sigma_b^+ + \Sigma_b^-) and (\Xi_{cc}^+ - \Xi_{cc}^{++}) + (\Xi_{bb}^- - \Xi_{bb}^{0}) =2(\Xi_{bc}^0 - \Xi_{bc}^{+}) for the heavy baryons are obtained. In addition, the masses of \Sigma_b^0, \Xi_b^0, and \Xi_{cc}^{++} are predicted based on the known experimental data.