A Higher Dimensional Potential Model Approach in the Study of Isgur-Wise Function for Heavy-Light Mesons

Abstract

Nambu-Goto action of 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 universal Lüscher coefficient of the Lüscher term $\frac{\gamma }{r}$, which depends upon the space-time dimension `d'. We take linear term in potential as parent and Lüscher term as perturbation for the generation of wave function for meson in d space-time dimension.The wave function comes out in terms of Airy's infinite polynomial series. With this wave function in higher dimension, we then study the Isgur-Wise function for heavy-light mesons and its derivatives.

Comments: Accepted in Physica Scripta