Isospin mass differences of singly heavy baryons

Abstract

We study the isospin mass differences of singly heavy baryons, based on a pion mean-field approach. We consider both the electromagnetic interactions and the hadronic contributions that arise from the mass difference of the up and down quarks. The relevant parameters have been already fixed by the baryon octet. In addition, we introduce the strong hyperfine interactions between the light quarks inside a chiral soliton and the Coulomb interactions between the chiral soliton and a heavy quark. The numerical results are in good agreement with the experimental data. In particular, the results for the neutral mass relations, which contain only the electromagnetic contributions, are in remarkable agreement with the data, which implies that the pion mean field approach provides a good description of the singly heavy baryons.

arXiv comment13 pages, 1 figure

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• Electromagnetic transition form factors, $E2/M1$ and $C2/M1$ ratios of the baryon decuplet
• Measurement of the Masses and Widths of the ${\Sigma }_c(2455{)}^{+}$ and ${\Sigma }_c(2520{)}^{+}$ Baryons
• Electric quadrupole form factors of singly heavy baryons with spin 3/2
• Pion mass dependence of the electromagnetic form factors of singly heavy baryons
• Baryonic matter and the medium modification of the baryon masses
• Axial-vector transition form factors of the singly heavy baryons
• Medium modification of singly heavy baryons in a pion-mean field approach
• Light-cone distribution amplitudes of the nucleon and $\Delta$ baryon