Studying the D∗K molecular structure of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$D^{+}_{s1}(2460)$\end{document} in the Bethe–Salpeter approach

In the heavy quark limit, we study the possible S-wave D∗K molecular bound state in the Bethe–Salpeter approach in the ladder and covariant instantaneous approximations. With the kernel induced by ρ and ω exchanges, we solve the Bethe–Salpeter equation numerically and find that the bound state may exist. We assume that the observed state \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$D^{+}_{s1}(2460)$\end{document} is an S-wave D∗K molecular bound state and then calculate the decay width of the strong decay \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$D^{+}_{s1}(2460)\rightarrow D_{s}^{+*}\pi^{0}$\end{document} including the η–π0 mixing effect. Our result for the decay width is consistent with the previous calculations and the experimental data.