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arXiv 1810.05970hep-ph
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QCD求和规则中$Σ_cND^{*}$与$Σ_bNB^{*}$强顶点的分析

Analysis of the strong vertices of $Σ_cND^{*}$ and $Σ_bNB^{*}$ in QCD sum rules

Guo-Liang Yu, Rong-Hua Guan, Zhi-Gang Wang

AI总结:

本文在QCD求和规则框架下,利用三点关联函数分析了$Σ_cND^{*}$和$Σ_bNB^{*}$强顶点,通过计算形状因子并拟合解析函数,最终确定了相应的强耦合常数。

摘要:

强耦合常数是一个重要参数,能够帮助我们理解重子的强衰变行为。在我们之前的工作中,我们已在QCD求和规则中分析了强顶点$Σ_{c}^{*}ND$、$Σ_{b}^{*}NB$、$Σ_{c}ND$、$Σ_{b}NB$。延续这些工作,我们在Dirac结构$q\\!\\!\\!/p\\!\\!\\!/γ_α$和$q\\!\\!\\!/p\\!\\!\\!/p_α$下,利用三点QCD求和规则进一步分析了强顶点$Σ_{c}ND^{*}$和$Σ_{b}NB^{*}$。在本工作中,我们首先考虑微扰部分以及凝聚项$\langle\overline{q}q\rangle$、$\langle\frac{α_{s}}πGG\rangle$和$\langle\overline{q}g_{s}σGq\rangle$的贡献,计算了强形状因子。然后,将这些形状因子拟合成解析函数。根据这些函数,我们最终确定了$Σ_{c}ND^{*}$和$Σ_{b}NB^{*}$这两个顶点的强耦合常数值。

英文摘要:

The strong coupling constant is an important parameter which can help us to understand the strong decay behaviors of baryons. In our previous work, we have analyzed strong vertices $Σ_{c}^{*}ND$, $Σ_{b}^{*}NB$, $Σ_{c}ND$, $Σ_{b}NB$ in QCD sum rules. Following these work, we further analyze the strong vertices $Σ_{c}ND^{*}$ and $Σ_{b}NB^{*}$ using the three-point QCD sum rules under Dirac structures $q\!\!\!/p\!\!\!/γ_α$ and $q\!\!\!/p\!\!\!/p_α$. In this work, we first calculate strong form factors considering contributions of the perturbative part and the condensate terms $\langle\overline{q}q\rangle$, $\langle\frac{α_{s}}πGG\rangle$ and $\langle\overline{q}g_{s}σGq\rangle$. Then, these form factors are used to fit into analytical functions. According to these functions, we finally determine the values of the strong coupling constants for these two vertices $Σ_{c}ND^{*}$ and $Σ_{b}NB^{*}$.

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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