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

摘要

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 Schr?dinger 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.