A Potential Model Approach in the Study of Static and Dynamic properties of Heavy-Light Quark-Antiquark Systems

TL;DR

This paper develops an approximate analytic meson wave function from the Schrödinger equation with Cornell potential, and uses it to study properties like Isgur-Wise function, form factors, charge radii, and decay constants of heavy-light mesons.

Contribution

It introduces a new analytic wave function approach for heavy-light mesons based on solving the Schrödinger equation with Cornell potential, enabling detailed property calculations.

Findings

Calculated Isgur-Wise function and derivatives for heavy-light mesons.

Determined elastic form factors, charge radii, and decay constants.

Provided insights into meson structure using a QCD-inspired model.

Abstract

We report some approximate analytic form of meson wave function constructed upon solving Schrodinger equation with linear plus Coulomb type Cornell potential. With this wave function, we study Isgur-Wise function and its derivatives for heavy-light mesons in the infinite heavy quark mass limit. We also explore the elastic form factors, charge radii and decay constants of pseudoscalar mesons in this QCD inspired quark model approach.