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

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 ${\mathrm{\Sigma }}^{\ast }\to \mathrm{\Lambda }\pi ,\mathrm{\Sigma }\pi$. 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.