Ratios of vector and pseudoscalar $B$ meson decay constants in the light-cone quark model

TL;DR

This paper calculates the decay constants of pseudoscalar and vector B mesons using a light-cone quark model with a variational approach, providing theoretical predictions that are compared with experimental data.

Contribution

It introduces a variational method within the light-cone quark model to compute B meson decay constants, offering a new approach to these calculations.

Findings

Calculated decay constants for B mesons agree with experimental data

Demonstrated the effectiveness of the variational method in light-cone quark models

Provided numerical values for decay constants using Gaussian trial wave functions

Abstract

We study the decay constants of pseudoscalar and vector $B$ meson in the framework of light-cone quark model (LCQM). We apply the variational method to the relativistic Hamiltonian with the Gaussian-type trial wave function to obtain the values of $\beta$ (scale parameter). Then with the help of known values of constituent quark masses, we obtain the numerical results for the decay constants $f_P$ and $f_V$, respectively. We compare our numerical results with the existing experimental data.