Analysis of the strong vertices of hadronic molecules $DK$, $D^{\ast }K$, $D{K}^{\ast }$ and their bottom analogs

Abstract

In this work, we analyze the strong vertices of hadronic molecules $DK$, $D^{\ast }K$, $D{K}^{\ast }$ 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 $⟨\bar{q}q⟩,⟨g_s^{2}GG⟩,⟨\bar{q}{g}_s\sigma Gq⟩,⟨g_s^{3}GGG⟩,{⟨\bar{q}q⟩}^2$ are included in the QCD side. As an application of strong coupling constants, we also obtain the partial decay widths of these states, where ${\Gamma }_{T_{DK}\to D_s\pi }=10.3_{-2.9}^{+3.0}\mathrm{KeV}$, ${\Gamma }_{T_{D^{\ast }K}\to D_s^{\ast }\pi }=24.8_{-5.4}^{+5.5}\mathrm{KeV}$, ${\Gamma }_{T_{BK}\to BK}=101_{-21}^{+36}\mathrm{MeV}$ and ${\Gamma }_{T_{B^{\ast }K}\to B^{\ast }K}=142_{-25}^{+52}\mathrm{MeV}$. It is shown that the results of ${\Gamma }_{T_{DK}\to D_s\pi }$ and ${\Gamma }_{T_{D^{\ast }K}\to D_s^{\ast }\pi }$ are compatible with the experimental data of $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$.

Comments: 13 pages, 10 figures