A QCD sum rules calculation of the ${\eta }_c{D}^{\ast }D$ and ${\eta }_c{D}_s^{\ast }{D}_s$ form factors and strong coupling constants

Abstract

We use the QCD sum rules for the three point correlation functions to compute the strong coupling constants of the meson vertices ${\eta }_c{D}^{\ast }D$ and ${\eta }_c{D}_s^{\ast }{D}_s$. We consider perturbative and non-perturbative contributions, working up to dimension five on the OPE. The vertices were studied considering that each one of its three mesons are off-shell alternately. The vertex coupling constant is evaluated through the extrapolation of the three different form factors. The results obtained for the coupling constants are $g_{{\eta }_c{D}^{\ast }D}=5.23_{-1.38}^{+1.80}$ and $g_{{\eta }_c{D}_s^{\ast }{D}_s}=5.55_{-1.55}^{+1.29}$.

22 pages, 3 figures

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Cited by in corpus (6)

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• Analysis of the electromagnetic form factors and the radiative decays of the vector heavy-light mesons
• Analysis of the semileptonic decays ${\Lambda }_b\to {\Lambda }_{c}l{\bar{\nu }}_l$ and ${\Xi }_b\to {\Xi }_{c}l{\bar{\nu }}_l$ in QCD sum rules
• The strong vertices of bottom mesons $B$, $B^{\ast }$ and bottomonia ${\rm Y}$, ${\eta }_b$
• The $D_{s}D{K}^{\ast }$ vertex in QCD Sum Rules: form factors and coupling constant
• Systematic analysis of the form factors of $B_c$ to $P$-wave charmonia and corresponding weak decays