Decay Constants of Heavy Vector Mesons in Relativistic Bethe-Salpeter Method

TL;DR

This paper calculates decay constants and mass spectra of heavy vector mesons using a relativistic Bethe-Salpeter approach, providing comprehensive results that include relativistic effects and compare well with experimental data.

Contribution

It extends previous work by solving the full $1^-$ Salpeter equation for vector mesons, offering new relativistic calculations of decay constants and mass spectra.

Findings

Decay constants for various heavy vector mesons are estimated with relativistic contributions.

Mass spectra of heavy-heavy and heavy-light vector mesons are computed.

Results show good agreement with experimental data and previous theoretical estimates.

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} \approx 375 \pm 24 $, $F_{D^*} \approx 340 \pm 23 (D^{*0},D^{*\pm})$, $F_{B^*_s} \approx 272 \pm 20 $, $F_{B^*} \approx 238 \pm 18 (B^{*0},B^{*\pm})$, $F_{B^*_c} \approx 418 \pm 24 $, $F_{J/\Psi} \approx 459 \pm 28 $, $F_{\Psi(2S)} \approx 364 \pm 24 $, $F_{\Upsilon} \approx 498 \pm 20 $ and $F_{\Upsilon(2S)} \approx 366 \pm 27 $ MeV.