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In this article, we calculate the strong coupling constant $g$ among thedecuplet baryons, the octet baryons and the pseudoscalar mesons in the heavybaryon chiral perturbation theory with the light-cone QCD sum rules, and studythe strong decays $\Sigma^* \to \Lambda \pi,\Sigma \pi$. The numerical value ofthe strong coupling constant $g$ is consistent with our previous calculation,the central values lead to small SU(3) breaking effects, less than 6%; and nodefinitive conclusion can be drawn due to the large uncertainties.

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