Strong decays ${\Sigma }^{\ast }\to \Sigma \pi ,\Lambda \pi$ and related strong coupling constant

Abstract

In this article, we calculate the strong coupling constant $g$ among the decuplet baryons, the octet baryons and the pseudoscalar mesons in the heavy baryon chiral perturbation theory with the light-cone QCD sum rules, and study the strong decays ${\Sigma }^{\ast }\to \Lambda \pi ,\Sigma \pi$. The numerical value of the strong coupling constant $g$ is consistent with our previous calculation, the central values lead to small SU(3) breaking effects, less than 6%; and no definitive conclusion can be drawn due to the large uncertainties.

20 pages, 10 figures, revised version, correct a type error

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Cited by in corpus (7)

• In-medium mass modifications of the $D_0$ and $B_0$ mesons with the QCD sum rules
• Analysis of the vertexes ${\Xi }_Q^{\ast }{\Xi }_Q^{\prime }V$, ${\Sigma }_Q^{\ast }{\Sigma }_{Q}V$ and radiative decays ${\Xi }_Q^{\ast }\to {\Xi }_Q^{\prime }\gamma$, ${\Sigma }_Q^{\ast }\to {\Sigma }_Q\gamma$
• Analysis of the heavy mesons in the nuclear matter with the QCD sum rules
• Analysis of the vertexes ${\Omega }_Q^{\ast }{\Omega }_Q\varphi$ and radiative decays ${\Omega }_Q^{\ast }\to {\Omega }_Q\gamma$
• Analysis of mass modifications of the vector and axial-vector heavy mesons in the nuclear matter with the QCD sum rules
• Analysis of the strong vertices of ${\Sigma }_{c}N{D}^{\ast }$ and ${\Sigma }_{b}N{B}^{\ast }$ in QCD sum rules
• Analysis of the strong vertexes of ${\Sigma }_c^{\ast }ND$ and ${\Sigma }_b^{\ast }NB$ in QCD sum rules