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

TL;DR

This paper uses QCD sum rules within the Standard Model to calculate form factors for semi-leptonic weak decays of J/psi into charmed mesons, providing insights into non-perturbative QCD effects and decay rates.

Contribution

It presents the first detailed calculation of J/psi semi-leptonic decay form factors using QCD sum rules, enhancing understanding of non-perturbative QCD in these processes.

Findings

Decay rate of J/psi to D_s^{(*)} + e^+ + ν_e is approximately 10^{-10}

Form factors fully determine the decay rates of these semi-leptonic processes

Provides valuable non-perturbative QCD information for J/psi decays

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 ($D^{(*)}_{(d,s)}$) 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 $J/\psi \to D^{(*)-}_{s}+e^{+}+\nu_{e}$ is at order of $10^{-10}$.