arXiv 2304.091832023-04hep-ph

单重子手征拉格朗日量至 $\mathcal{O}(p^{4})$ 阶

Chiral Lagrangians for singly heavy baryons to $\mathcal{O}(p^{4})$ order

Yuan-He Zou, Hao Liu, Yan-Rui Liu, Shao-Zhou Jiang

备注：: 51 pages
发表信息：: Phys. Rev. D 108, 014027 (2023)
DOI：: 10.1103/PhysRevD.108.014027

AI总结：

本文将单重子的手征拉格朗日量构造至 $\mathcal{O}(p^{4})$ 阶，统计了相对论与重夸克极限下 $SU(2)$ 和 $SU(3)$ 的独立项数目，并利用重夸克对称性导出了至 $\mathcal{O}(p^{3})$ 阶的低能常数关系。

摘要：

单重子的手征拉格朗日量被构造至 $\mathcal{O}(p^{4})$ 阶。当考虑三种轻味时，所涉及的重子可以处于自旋为 1/2 的味反三重态、自旋为 1/2 的味六重态或自旋为 3/2 的味六重态。对于拉格朗日量的相对论版本，从 $\mathcal{O}(p^{2})$ 到 $\mathcal{O}(p^{4})$，在 $SU(2)$ 情况下分别存在 48、199 和 1242 个独立项，在 $SU(3)$ 情况下分别存在 59、307 和 2454 个独立项。对于重夸克极限下的拉格朗日量，从 $\mathcal{O}(p^{2})$ 到 $\mathcal{O}(p^{4})$，独立项的数目在 $SU(2)$ 情况下分别减少至 16、64 和 412，在 $SU(3)$ 情况下分别减少至 17、88 和 714。我们获得了至 $\mathcal{O}(p^{3})$ 阶的相对论情形与重夸克情形之间的低能常数关系。利用重夸克对称性，还给出了至该阶的独立相对论项的低能常数之间的关系。

英文摘要：

The chiral Lagrangians for singly heavy baryons are constructed up to the $\mathcal{O}(p^{4})$ order. The involved baryons may be in a flavor antitriplet with spin-1/2, a flavor sextet with spin-$1/2$, or a flavor sextet with spin-3/2 when one considers three light flavors. For the relativistic version of Lagrangian, from $\mathcal{O}(p^{2})$ to $\mathcal{O}(p^{4})$, there exist 48, 199, and 1242 independent terms in the $SU(2)$ case and 59, 307, and 2454 independent terms in the $SU(3)$ case, respectively. For the Lagrangian in the heavy quark limit, from $\mathcal{O}(p^{2})$ to $\mathcal{O}(p^{4})$, the numbers of independent terms are reduced to 16, 64, and 412 in the $SU(2)$ case and to 17, 88, and 714 in the $SU(3)$ case, respectively. We obtain the low-energy constant relations between the relativistic case and the heavy-quark case up to the $\mathcal{O}(p^{3})$ order. The relations between low-energy constants of independent relativistic terms are also presented up to this order by using the heavy quark symmetry.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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英文摘要：

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