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 ,

,

$$DK^*$$ D K ∗

and their bottom analogs within the framework of three-point QCD sum rules. The contribution of interpolating currents coupling to low spin particles is considered in the phenomenological side, and the vacuum condensates

$$\left\langle \bar{q}q \right\rangle ,\left\langle g_s^2GG \right\rangle ,\left\langle \bar{q}g_s\sigma Gq \right\rangle ,\left\langle g_s^3GGG \right\rangle ,{\left\langle \bar{q}q \right\rangle ^2}$$ q ¯ q , g s 2 G G , q ¯ g s σ G q , g s 3 G G G , 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

$$\Gamma _{T_{DK}\rightarrow D_s\pi }=12.4_{-2.7}^{+3.2}$$ Γ T DK → D s π = 12 . 4 - 2.7 + 3.2

KeV,

$$\Gamma _{T_{D^*K}\rightarrow D_s^*\pi }=28.5_{-4.6}^{+5.2}$$ Γ T D ∗ K → D s ∗ π = 28 . 5 - 4.6 + 5.2

KeV,

$$\Gamma _{T_{BK}\rightarrow BK}=101_{-21}^{+36}$$ Γ T BK → B K = 101 - 21 + 36

MeV and

$$\Gamma _{T_{B^*K}\rightarrow B^*K}=142_{-25}^{+52}$$ Γ T B ∗ K → B ∗ K = 142 - 25 + 52

MeV. It is shown that the results of

$$\Gamma _{T_{DK}\rightarrow D_s\pi }$$ Γ T DK → D s π

and

$$\Gamma _{T_{D^*K}\rightarrow D_s^*\pi }$$ Γ T D ∗ K → D s ∗ π

are compatible with the experimental data of

$$D_{s0}^*(2317)$$ D s 0 ∗ ( 2317 )

and

$$D_{s1}(2460)$$ D s 1 ( 2460 )

.