Decay constants of pseudoscalar and vector $B$ and $D$ mesons in the light-cone quark model

TL;DR

This paper calculates decay constants of B and D mesons using a light-cone quark model with a variational approach, providing results relevant for phenomenology and CKM matrix studies.

Contribution

It introduces a variational method with Gaussian trial wave functions within the light-cone quark model to compute meson decay constants.

Findings

Decay constants are numerically obtained for B and D mesons.

Results are compared with other theoretical and experimental data.

Predictions have applications in CP violation and CKM matrix determination.

Abstract

We have studied the decay constants of the pseudoscalar and the vector $B$ and $D$ mesons in the framework of the light-cone quark model. We have applied a variational method to the relativistic Hamiltonian with the Gaussian-type trial wave function to obtain the values of the scale parameter $\beta$ in different potential models. Furthermore, using the known values of the constituent quark masses of $u$, $d$, $s$, $c$ and $b$ quarks, we have obtained the numerical results for the decay constants. We have also compared our results with the other theoretical calculations and the existing experimental results. The present work predictions have many phenomenological applications in the domain of $CP$ violation and also in the determination of the CKM matrix elements.