# An Improved Analysis of Masses and Decay Constants of Heavy Flavour Mesons within Variational Approach

## TL;DR

This paper uses the variational method with different trial wave-functions to analyze heavy flavour mesons' properties, finding Gaussian functions yield results close to experimental data and comparing with other theoretical approaches.

## Contribution

It introduces an improved variational analysis employing multiple trial wave-functions to better estimate meson properties, especially highlighting the effectiveness of Gaussian functions.

## Key findings

- Gaussian trial wave-function closely matches experimental data
- Comparison shows consistency with QCD Sum rules and lattice QCD
- Provides refined estimates of masses and decay constants

## Abstract

We employ the variational method to study the properties such as masses, decay constants, oscillation frequency and branching ratios of leptonic decays of heavy flavour mesons with linear cum coulomb Cornell potential. Gaussian function, Coulomb wave function and Airy function are taken as the trial wave-function of variational method in this study. Our analysis suggests that Gaussian trial wave-function provides results which are in close proximity with the experimental results. We also make a comparison with the results from QCD Sum rules and lattice QCD, as well as with recent PDG data.