A QCD sum rules calculation of the \(\eta_c D^ D\) and \(\eta_c D_s^ D_s\) form factors and strong coupling constants

We use the QCD sum rules for the three point correlation functions to compute the strong coupling constants of the meson vertices \(\eta_c D^* D\) and \(\eta_c D_s^* D_s\). We consider perturbative and non-perturbative contributions, working up to dimension five on the OPE. The vertices were studied...

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Bibliographic Details
Published inarXiv.org
Main Authors B Osório Rodrigues, Bracco, M E, Zanetti, C M
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 07.07.2017
Subjects
Apexes
Coupling
Form factors
Mathematical analysis
Mesons
Sum rules
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Summary:We use the QCD sum rules for the three point correlation functions to compute the strong coupling constants of the meson vertices \(\eta_c D^* D\) and \(\eta_c D_s^* D_s\). 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 \(g_{\eta_c D^* D} = 5.23^{+1.80}_{-1.38}\) and \(g_{\eta_c D_s^* D_s}=5.55^{+1.29}_{-1.55}\).
ISSN:2331-8422
DOI:10.48550/arxiv.1707.02330