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Analysis of the strong vertices of $\Sigma_cND^{*}$ and $\Sigma_bNB^{*}$ in QCD sum rules

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arxiv 1810.05970 v1 pith:3PYH5MZY submitted 2018-10-14 hep-ph

classification hep-ph
keywords sigmastrongverticesalphalanglerangleruleswork
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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 $\Sigma_{c}^{*}ND$, $\Sigma_{b}^{*}NB$, $\Sigma_{c}ND$, $\Sigma_{b}NB$ in QCD sum rules. Following these work, we further analyze the strong vertices $\Sigma_{c}ND^{*}$ and $\Sigma_{b}NB^{*}$ using the three-point QCD sum rules under Dirac structures $q\!\!\!/p\!\!\!/\gamma_{\alpha}$ and $q\!\!\!/p\!\!\!/p_{\alpha}$. In this work, we first calculate strong form factors considering contributions of the perturbative part and the condensate terms $\langle\overline{q}q\rangle$, $\langle\frac{\alpha_{s}}{\pi}GG\rangle$ and $\langle\overline{q}g_{s}\sigma Gq\rangle$. 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 $\Sigma_{c}ND^{*}$ and $\Sigma_{b}NB^{*}$.

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  1. Analysis of the strong vertices $\Lambda_cD^{(*)}N^*(1535)$ and $\Lambda_bB^{(*)}N^*(1535)$ in QCD sum rules

    hep-ph 2025-06 conditional novelty 5.0 of 10

    A QCD sum rule analysis produces masses, pole residues and six on-shell strong coupling constants for the ΛcD(*)N*(1535) and ΛbB(*)N*(1535) vertices.

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