Decay constants of heavy vector mesons in relativistic Bethe-Salpeter method

In a previous Letter, we computed the decay constants of heavy pseudoscalar mesons in the framework of relativistic (instantaneous) Bethe-Salpeter method (full 0− Salpeter equation), in this Letter, we solve the full 1− Salpeter equation and compute the leptonic decay constants of heavy-heavy and heavy-light vector mesons. The theoretical estimate of mass spectra of these heavy-heavy and heavy-light vector mesons are also presented. Our results for the decay constants and mass spectra include the complete relativistic contributions. We find FDs∗≈375±24, FD∗≈340±23(D∗0,D∗±), FBs∗≈272±20, FB∗≈238±18(B∗0,B∗±), FBc∗≈418±24, FJ/Ψ≈459±28, FΨ(2S)≈364±24, Fϒ≈498±20 and Fϒ(2S)≈366±27MeV.