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

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• Analysis of the strong coupling constant $G_{D_s^{\ast }{D}_s\varphi }$ and the decay width of $D_s^{\ast }\to D_s\gamma$ with QCD sum rules
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• Weak decays of heavy hadron molecules involving the f0(980)
• Probing gluon dynamics by charm and bottom mesons in nuclear medium from heavy meson effective theory with 1/M-corrections
• Strong coupling constants of bottom and charmed mesons with scalar, pseudoscalar and axial vector kaons
• Possible open-charmed pentaquark molecule ${\Omega }_c(3188)$ --- the $D\Xi$ bound state --- in the Bethe-Salpeter formalism
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• $g_{D_s^{\ast }D{K}^{\ast }(892)}$ and $g_{B_s^{\ast }B{K}^{\ast }(892)}$ coupling constants in QCD sum rules
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• Strong decays analysis of excited nonstrange charmed mesons: Implications for spectroscopy
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• The strong vertices of bottom mesons $B$, $B^{\ast }$ and bottomonia ${\rm Y}$, ${\eta }_b$
• The unquenched quark model
• Analysis of the strong vertexes of ${\Sigma }_c^{\ast }ND$ and ${\Sigma }_b^{\ast }NB$ in QCD sum rules
• Strong coupling constant of vector bottomonium to the pseudoscalar and vector $B_c$ mesons via QCD sum rules
• Strong coupling constants of charmed and bottom mesons with light vector mesons in QCD sum rules
• Unified Hamiltonian model for mesons and baryons
• Strong coupling constant of h${}_b$ vector to the pseudoscalar and vector $B_c$ mesons in QCD sum rules