Isgur–Wise function within a QCD quark model with Airy's function as the wave function of heavy–light mesons

Abstract

We report a somewhat improved wave function for mesons by taking the linear confinement term in standard QCD potential as a parent and the coulombic term as a perturbation while applying quantum mechanical perturbation techniques in solving the Schrödinger equation with such a potential. We find that Airy's infinite series appears in the wave function of the mesons. We report our calculations on the Isgur–Wise function and its derivatives for heavy–light mesons within this framework.