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 FD∗ s ≈ 375 ± 24 , FD∗ ≈ 340 ± 23 (D ∗0,D∗±), FB∗ s ≈ 272 ± 20 , FB∗ ≈ 238 ± 18 (B ∗0, B∗±), FB∗ c ≈ 418 ± 24 , FJ/Ψ ≈ 459 ± 28 , FΨ(2S) ≈ 364 ± 24 , FΥ ≈ 498 ± 20 and FΥ(2S) ≈ 366 ± 27 MeV. ∗gl [email protected] 1