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

Abstract

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± 27 MeV.