The transition form factors for semi-leptonic weak decays of $J/\psi$ in QCD sum rules

Abstract

Within the Standard Model, we investigate the semi-leptonic weak decays of $J/\psi$. The various form factors of $J/\psi$ transiting to a single charmed meson ($D_{(d,s)}^{(\ast )}$) are studied in the framework of the QCD sum rules. These form factors fully determine the rates of the weak semi-leptonic decays of $J/\psi$ and provide valuable information about the non-perturbative QCD effects. Our results indicate that the decay rate of the semi-leptonic weak decay mode $J/\psi \to D_s^{(\ast )-}+e^{+}+{\nu }_e$ is at order of $10^{-10}$.

Comments: 28 pages, 6 figures, revised version to be published in Eur.Phys.J.C