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In the wake of the first-ever experimental study of the decay: $D_s^{*+}\toe^+\nu_e$ with $e^+e^-$ collision data taken from the BESIII detector at theBEPCII collider, we study the purely leptonic decay of the charged vectormesons ($D^*_{(s)}$) in the framework of the relativistic independent quark(RIQ) model based on an average flavor-independent confining potential inequally mixed scalar-vector harmonic form. We calculate the decay constants:$f_{D^*}$ and $f_{D_s^*}$ representing the decay amplitudes using the mesonwave function derivable in the RIQ model. Our results for the decay constants:$f_{D^*}=197\pm 14$ MeV, $f_{D_s^*}=236\pm 19$ MeV, decay widths: $\Gamma(D^*\to e\nu_e)=(57.523\pm 8.183) \ \mu eV$, $\Gamma (D_s^*\to e\nu_e) =(1.802\pm 0.275) \ meV$ and corresponding branching fractions (BFs): ${\cal B}(D^*\to e\nu_e)= (6.897\pm 0.992)\times 10^{-10}$ and ${\cal B} (D_s^*\toe\nu_e)= (2.574\pm 1.102) \times 10^{-5}$ are in good agreement with availableexperimental data and other model predictions including those from the latticeQCD calculation. Our predictions: ${\cal R}_{D^{*+}}=0.0665$ and ${\calR}_{D_s^{*+}}=0.1157$, which correspond to the ratios of the BFs for$D_{(s)}^{*+}$ decays in their $\tau^-$ mode to the corresponding values in$e^-$ mode, are in good agreement with the results of the LQCD and LFQMcalculations.

Purely leptonic decay of the charged vector mesons ($D_{(s)}^{*+}$)