Analysis of the vertices $D^{\ast }{D}_{s}K$, $D_s^{\ast }DK$,$D_0{D}_{s}K$ and $D_{s0}DK$ with the light-cone QCD sum rules

Abstract

In this article, we analyze the vertices $D^{\ast }{D}_{s}K$, $D_s^{\ast }DK$, $D_0{D}_{s}K$ and $D_{s0}DK$ within the framework of the light-cone QCD sum rules approach in an unified way. The strong coupling constants $G_{D^{\ast }{D}_{s}K}$ and $G_{D_s^{\ast }DK}$ are important parameters in evaluating the charmonium absorption cross sections in searching for the quark-gluon plasmas, our numerical values of the $G_{D^{\ast }{D}_{s}K}$ and $G_{D_s^{\ast }DK}$ are compatible with the existing estimations although somewhat smaller, the SU(4) symmetry breaking effects are very large, about 60%. For the charmed scalar mesons $D_0$ and $D_{s0}$, we take the point of view that they are the conventional $c\bar{u}$ and $c\bar{s}$ mesons respectively, and calculate the strong coupling constants $G_{D_0{D}_{s}K}$ and $G_{D_{s0}DK}$ with the vector interpolating currents. The numerical values of the scalar-$D_{s}K$ and -$DK$ coupling constants $G_{D_0{D}_{s}K}$ and $G_{D_{s0}DK}$ are compatible with the existing estimations, the large values support the hadronic dressing mechanism. Furthermore, we study the dependence of the four strong coupling constants $G_{D^{\ast }{D}_{s}K}$, $G_{D_s^{\ast }DK}$, $G_{D_0{D}_{s}K}$ and $G_{D_{s0}DK}$ on the non-perturbative parameter $a_4$ of the twist-2 $K$ meson light-cone distribution amplitude.

31 pages, 21 figures, 2 tables, Second version

References in corpus (2)

• Relativistic treatment of the decay constants of light and heavy mesons
• Structure of the $D_{s0}(2317)$ and the strong coupling constant $g_{D_{s0}DK}$ with the light-cone QCD sum rules

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