# Isospin splittings in baryons with two heavy quarks

## TL;DR

This paper calculates isospin mass splittings in doubly heavy baryons using simplified methods, providing specific numerical predictions with associated uncertainties.

## Contribution

The authors apply previously proposed simple methods to compute isospin splittings in baryons with two heavy quarks, offering new quantitative results.

## Key findings

- Mass difference for $ ext{Xi}_{cc}$ baryons: 1.41 MeV
- Mass difference for $ ext{Xi}_{bb}$ baryons: -4.78 MeV
- Mass difference for $ ext{Xi}_{bc}$ baryons: -1.69 MeV

## Abstract

Isospin splittings in baryons with two heavy quarks and a $u$ or $d$ quark are calculated using simple methods proposed previously by the authors. The results are $M(\Xi_{cc}^{++})-M(\Xi_{cc}^+) = 1.41 \pm 0.12^{+0.76}$ MeV, $M(\Xi_{bb}^0) - M(\Xi_{bb}^-) = - 4.78 \pm 0.06^{+0.03}$ MeV, and $M(\Xi_{bc}^+)-M(\Xi_{bc}^0)=-1.69 \pm0.07 ^{+0.39}$ MeV, where the statistical errors reflect uncertainties in input mass splittings, and the systematic errors are associated with the choice of constituent-quark masses.