论文标题
旋转3/2的单一重型重子的电二极管形式
Electric quadrupole form factors of singly heavy baryons with spin 3/2
论文作者
论文摘要
我们研究了平均场方法中最低的单层重鸡的电磁形式因子，这也称为SU（3）手性夸克 - 索利顿模型。在重夸克质量的极限下，单一重型巴里昂内部的动力受到$ N_C-1 $ Valence Quarks的约束，而重夸克仍然是仅仅是静态的颜色源。在此框架中，通过将彩色的孤子与单一重型夸克相结合来描述一个单一的重型巴里昂。在无限的重夸克质量限制中，我们可以用自旋3/2计算带有旋转$ 1/n_c $的旋转式六六分子的电动四极形式，并考虑了显式风味SU（3）对称性破坏的线性校正。我们发现，在较低$ q^2 $区域的价夸克贡献中，海夸克的贡献或迪拉克 - 海平面的贡献占主导地位。我们研究了明确的风味SU（3）对称性破裂的影响。还将数值结果与晶格计算中的最新数据与所考虑的斜向质量的非物理值进行了比较，该数据已用于晶格计算中。
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 mere static color source. In this framework, a singly heavy baryon is described by combining the colored 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 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.
