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.

中文翻译：

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单重重子的同位旋质量差异

摘要 我们基于 pion 平均场方法研究了单重重子的同位旋质量差异。我们考虑了由上下夸克的质量差异引起的电磁相互作用和强子贡献。相关参数已经由重子八位组固定。此外，我们还介绍了手性孤子内部轻夸克之间的强超精细相互作用以及手性孤子和重夸克之间的库仑相互作用。数值结果与实验数据吻合良好。特别是，仅包含电磁贡献的中性质量关系的结果与数据非常一致，这意味着 pion 平均场方法提供了对单重重子的良好描述。