Analysis of the strong vertices of hadronic molecules $DK$, $D^*K$, $DK^*$ and their bottom analogs

Abstract

In this work, we analyze the strong vertices of hadronic molecules $DK$, $D^*K$, $DK^*$ and their bottom analogs within the framework of three-point QCD sum rules. The coupling between interpolating currents and low spin particles is considered in the phenomenological side, and the vacuum condensates $\left\langle \bar qq \right\rangle ,\left\langle g_s^2GG \right\rangle ,\left\langle \bar qg_s\sigma Gq \right\rangle ,\left\langle g_s^3GGG \right\rangle ,{\left\langle \bar qq \right\rangle ^2}$ are included in the QCD side. As an application of strong coupling constants, we also obtain the partial decay widths of these states, where $\Gamma_{T_{DK}\rightarrow D_s\pi}=10.3_{-2.9}^{+3.0}\mathrm{KeV}$, $\Gamma_{T_{D^*K}\rightarrow D_s^*\pi}=24.8_{-5.4}^{+5.5}\mathrm{KeV}$, $\Gamma_{T_{BK}\rightarrow BK}=101_{-21}^{+36}\mathrm{MeV}$ and $\Gamma_{T_{B^*K}\rightarrow B^*K}=142_{-25}^{+52}\mathrm{MeV}$. It is shown that the results of $\Gamma_{T_{DK}\rightarrow D_s\pi}$ and $\Gamma_{T_{D^*K}\rightarrow D_s^*\pi}$ are compatible with the experimental data of $D_{s0}^*(2317)$ and $D_{s1}(2460)$.