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$J^P=1^+$重-轻介子的混合角和衰变常数

Mixing angle and decay constants of $J^P=1^+$ heavy-light mesons

Qiang Li, Tianhong Wang, Yue Jiang, Guo-Li Wang, Chao-Hsi Chang

备注：
14 pages, 3 figures
发表信息：
Phys. Rev. D 100, 076020 (2019)
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摘要：

在Bethe-Salpeter方程（BSE）框架下，系统地研究了$J^P=1^+$重轻介子的质量谱、混合角和衰变常数.首次给出了完整的$1^+$ Salpeter波函数。在$1^+$重-轻系统中，$1^{+-}$和$1^{++}$之间的混合是由方程中的动力学自动确定的，而没有任何人为的混合。结果表明，在严格的研究中，$1^{+}$重轻二重态存在混合角反转或质量反转现象，对粲介子的$s$ -夸克质量和底介子的$u$ -或$d$ -夸克质量敏感.这种反转现象可以回答为什么我们在文献中混淆了混合角的问题，并部分解释了与$D_{s1}(2536)$相比，$D_{s1}(2460)$的质量较低。给出了衰变常数，它可以作为区分重轻介子中$1^+$二重态的一个很好的量。研究表明，轻夸克质量在决定$\ket{j_l=\frac{3}{2}}$和$\ket{j_l=\frac{1}{2}}$轻重介子的质量序、混合角和衰变常数关系中起重要作用.

英文摘要：

The mass spectra, mixing angle and decay constants of the $J^P=1^+$ heavy-light mesons are systematically studied within the framework of the Bethe-Salpeter equation (BSE). The full $1^+$ Salpeter wave function is given for the first time. The mixing between the $1^{+-}$ and $1^{++}$ in the $1^+$ heavy-light systems are automatically determined by the dynamics in the equation without any man-made mixing. The results indicate that in a rigorous study there exists the phenomenon of mixing angle inversion or mass inversion within $1^{+}$ heavy-light doublet, which is sensitive to the $s$-quark mass for the charmed mesons and $u$- or $d$-quark masses for the bottomed mesons. This inversion phenomenon can answer the question of why we have confused mixing angles in the literature and partly explain the lower mass of $D_{s1}(2460)$ compared to that of $D_{s1}(2536)$. The decay constants are also presented and can behave as a good quantity to distinguish the $1^+$ doublet in heavy-light mesons. This study indicates that the light-quark mass may play an important role in deciding the mass order, mixing angle, and decay constant relation between the $\ket{j_l=\frac{3}{2}}$ and $\ket{j_l=\frac{1}{2}}$ heavy-light mesons.

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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