Decay Constants of $B$, $B^{\ast }$ and $D$, $D^{\ast }$ Mesons in Relativistic Mock Meson Model

Abstract

We derive formulas for the decay constants $f_P$ and $f_V$ of pseudoscalar and vector mesons in the relativistic mock meson model. Using these formulas, we obtain $f_P$ and $f_V$ of $B_s$, $B_d$, $D_s$, and $D_d$ mesons as functions of the mock meson parameter $\beta$. Then by using the values of $\beta$ which are obtained by the variational method in the relativistic quark model, we obtain the decay constants $f_P$ and $f_V$ of the heavy mesons, and the corresponding ratios $f_V/f_P$. The results are compared with other calculations and existing experimental results.

12 pages, 3 Postscript figures

References in corpus (5)

• Semileptonic Meson Decays in the Quark Model: An Update
• Decay constants of P and D-wave heavy-light mesons
• Measurement of B(D_s+ -> mu+ nu_mu)/B(D_s+ -> phi mu+ nu_mu) and Determination of the Decay Constant f_{D_s}
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• Comparison of potential models through HQET

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• Heavy-Light Mesons in the Non-Relativistic Quark Model Using Laplace Transformation Method
• Twist-2 Pseudoscalar and Vector Meson Distribution Amplitudes in Light-Front Quark Model with Exponential-type Confining Potential
• Relevance of various Dirac covariants in hadronic Bethe-Salpeter wave functions in electromagnetic decays of ground state vector mesons
• Heavy Vector and Axial-Vector Mesons in Hot and Dense Asymmetric Strange Hadronic Matter
• Decay Constants of $D_{sJ}^{\ast }$(2317) and $D_{sJ}$(2460)
• Purely leptonic decays of the ground charged vector mesons
• Resonance $X(5568)$ as an exotic axial-vector state
• Information on $B\to \pi \pi$ Provided by the Semileptonic Process $B\to \pi l\nu$
• Properties of the ${\eta }_q$ leading-twist distribution amplitude and its effects to the $B/D^{+}\to {\eta }^{(\prime )}{\ell }^{+}{\nu }_{\ell }$ decays
• Study of the Decays B0 --> D(*)+D(*)-
• Reshuffling the OPE: Delocalized Operator Expansion
• Factorization and Decay Constants $f_{D_s^{\ast }}$ and $f_{D_s}$