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 $F_{D_s^{\ast }}\approx 375\pm 24$, $F_{D^{\ast }}\approx 340\pm 23(D^{\ast 0},D^{\ast \pm })$, $F_{B_s^{\ast }}\approx 272\pm 20$, $F_{B^{\ast }}\approx 238\pm 18(B^{\ast 0},B^{\ast \pm })$, $F_{B_c^{\ast }}\approx 418\pm 24$, $F_{J/\Psi }\approx 459\pm 28$, $F_{\Psi (2S)}\approx 364\pm 24$, $F_{{\rm Y}}\approx 498\pm 20$ and $F_{{\rm Y}(2S)}\approx 366\pm 27$ MeV.

11 pages, 7 tables

References in corpus (4)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Annihilation Rate of Heavy $0^{-+}$ Quarkonium in Relativistic Salpeter Method
• Study of the leptonic decays of pseudoscalar $B,D$ and vector $B^{\ast },D^{\ast }$ mesons and of the semileptonic $B\to D$ and $B\to D^{\ast }$ decays
• Instantaneous Bethe-Salpeter Equation and Its Exact Solution

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