An Analysis of Isgur-Wise Function of Heavy-Light Mesons within a Higher Dimensional Potential Model Approach

Abstract

Nambu-Goto action for bosonic string predicts the quark-antiquark potential to be $V(r)=-\frac{\gamma }{r}+\sigma r+{\mu }_0$. The coefficient $\gamma =\frac{\pi (d-2)}{24}$ is the Lüscher coefficient of the Lüscher term $\frac{\gamma }{r}$, which depends upon the space-time dimension `d'. Very recently, we have developed meson wave functions in higher dimension with this potential from higher dimensional Schrodinger equation by applying quantum mechanical perturbation technique with both $L\ddot{u}scher$ term as parent and as perturbation. In this letter, we analyze Isgur-Wise function for heavy-light mesons using these wave functions in higher dimension and make a comparative study on the status of the perturbation technique in both the cases.