We study the electromagnetic form factors of the lowest-lying singly heavy baryons in a pion mean-field approach, which is also known as the SU(3) chiral quark-soliton model. In the limit of the heavy-quark mass, the dynamics inside a singly heavy baryon is governed by the $N_c-1$ valence quarks, while the heavy quark remains as a static one. In this framework, a singly heavy baryon is described by combining the $N_c-1$ soliton with the singly heavy quark. In the infinitely heavy-quark mass limit, we can compute the electric quadrupole form factors of the baryon sextet with spin 3/2, with the rotational $1/N_c$ and linear corrections of the explicit flavor SU(3) symmetry breaking taken into account. We find that the sea-quark contributions or the Dirac-sea level contributions dominate over the valence-quark contributions in the lower $Q^2$ region. We examined the effects of explicit flavor SU(3) symmetry breaking in detail. The numerical results are also compared with the recent data from the lattice calculation with the unphysical value of the pion mass considered, which was used in the lattice calculation.

中文翻译：

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自旋为 3/2 的单重重子的电四极子形状因子

我们在π介子平均场方法中研究了位于最低的单重重子的电磁形状因子，这也被称为SU（3）手性夸克孤子模型。在重夸克质量的限制下，单重重子内部的动力学由 $N_c-1$ 价夸克控制，而重夸克保持静态。在这个框架中，通过结合$N_c-1$孤子和单重夸克来描述单重重子。在无限重夸克质量限制中，我们可以计算自旋为 3/2 的重子六重体的电四极子形状因子，其中考虑了旋转 $1/N_c$ 和显式风味 SU(3) 对称性破缺的线性校正. 我们发现海夸克贡献或狄拉克海平面贡献在较低的$Q^2$ 区域中优于价夸克贡献。我们详细研究了显式风味 SU(3) 对称性破坏的影响。数值结果也与最近的晶格计算数据进行了比较，其中考虑了介子质量的非物理值，用于晶格计算。