Wave Functions and Leptonic Decays of Bottom Mesons In the Relativistic Potential Model

Abstract

We study the wave functions and purely leptonic decays of $b$-flavored mesons (pseudoscalars, vector mesons, and higher excited states that are well established in experiment) in the relativistic potential model based on our previous works. The wave functions are obtained by solving the wave equation including the spin-spin and spin-orbit corrections in the effective potential. The decay constants of $B$, $B^{\ast }$ and some of their excited states that have been found in experiment are calculated with these wave functions. Then the branching fractions of the purely leptonic decay modes of these bottom mesons are studied. Our results are in well agreement with experiment data for decay modes that have been measured in experiments. We also provide predictions for some yet unmeasured channels, which are useful for experimental test in the future.

arXiv comment14 pages, 4 figures, 5 tables

References in corpus (20)

• B_{s,d} -> l+ l- in the Standard Model with Reduced Theoretical Uncertainty
• Probing New Physics via the $B_s^0\to {\mu }^{+}{\mu }^{-}$ Effective Lifetime
• Exclusive rare B -> K*e+e- decays at low recoil: controlling the long-distance effects
• Decay constants and radiative decays of heavy mesons in light-front quark model
• Electroweak Corrections to $B_{s,d}\to {\ell }^{+}{\ell }^{-}$
• Three-loop QCD corrections to B_s -> mu^+ mu^-
• Search for the decays $B_s^0\to {\tau }^{+}{\tau }^{-}$ and $B^0\to {\tau }^{+}{\tau }^{-}$
• Analytic calculation of two-loop QCD corrections to b\to s\ell^+\ell^- in the high q^2 region
• Wave functions and decay constants of $B$ and $D$ mesons in the relativistic potential model
• Weak decays of unstable $b$-mesons
• Analytic two-loop virtual corrections to $b-->d{l}^{+}{l}^{-}$
• Search for the Decays $B_{(s)}^0\to e^{+}{\mu }^{-}$ and $B_{(s)}^0\to e^{+}{e}^{-}$ in CDF Run II
• In Pursuit of New Physics with $B_{s,d}^0\to {\ell }^{+}{\ell }^{-}$
• Spectrum of the charmed and b-flavored mesons in the relativistic potential model
• A Search for the Rare Leptonic Decays B+ -> mu+ nu and B+ -> e+ nu
• Strong and radiative decays of heavy mesons in a covariant model
• Spectrum of Higher excitations of $B$ and $D$ mesons in the relativistic potential model
• Decay Constants and Distribution Amplitudes of B Meson in the Relativistic Potential Model
• Semileptonic and Rare $B$-meson transitions in a QCD relativistic potential model
• Search for $B^{-}\to {\mu }^{-}{\bar{\nu }}_{\mu }$ Decays at the Belle Experiment

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• Power corrections to quasi-distribution amplitudes of a heavy meson
• Possible solution of the puzzle for the branching ratio and $CP$ violation in $B\to \pi \pi$ decays with a modified perturbative QCD approach
• Renormalization-Group Evolution of the None-local Matrix Element of $B$-meson In QCD and $B\to \pi$ transition form factor
• Revisiting $B\to K^{\ast }\pi$ and $B\to K\rho$ decays using the modified perturbative QCD approach
• Branching ratio and $CP$ violation of $B\to K\pi$ decays in a modified perturbative QCD approach
• Study of $B\to PP$ decays in the modified perturbative QCD approach
• Study of $B\to \rho \eta$, $\rho {\eta }^{\prime }$ decays in the modified perturbative QCD approach
• Branching fraction, $CP$ asymmetry, and polarization in $B\to \rho \rho$ decays with the modified perturbative QCD approach
• Phenomenological analysis of charmless $B\to PV$ decays in the modified perturbative QCD approach