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

## TL;DR

This paper calculates wave functions and leptonic decay rates of bottom mesons using a relativistic potential model, providing results consistent with existing data and predictions for unmeasured decay channels.

## Contribution

It introduces a relativistic potential model approach to compute wave functions and decay constants for bottom mesons, including excited states, with predictions for future experimental verification.

## Key findings

- Calculated decay constants agree with experimental data.
- Predicted branching ratios for unmeasured decay channels.
- Provided wave functions for various bottom meson states.

## 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 $B$, $B^*$ 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.