$B_{s1}^{\ast }{B}^{\ast }K$ form factor from QCD sum rules

Abstract

In this article, we calculate the form factors and the coupling constant of the $g_{B_{s1}^{\ast }{B}^{\ast }K}$ vertex in the framework of the three-point QCD sum rules. Three point correlation functions responsible for the vertex are evaluated by considering both $B^{\ast }$ and $K$ mesons as off-shell states. The form factors obtained are different if the $B^{\ast }$ or the $K$ meson is off-shell but give the same coupling constant.

12 pages, 6 figures. arXiv admin note: text overlap with arXiv:1009.5320 by other authors

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• The strong vertices of charmed mesons $D$, $D^{\ast }$ and charmonia $J/\psi$, ${\eta }_c$
• The strong vertices of bottom mesons $B$, $B^{\ast }$ and bottomonia ${\rm Y}$, ${\eta }_b$
• Strong coupling constants of charmed and bottom mesons with light vector mesons in QCD sum rules
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