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.

References in corpus (4)

• Isgur-Wise function within a QCD quark model with Airy's function as the wave function of heavy-light mesons
• An analysis of the Isgur-Wise Function and its derivatives within a Heavy-Light QCD Quark Model
• Isgur-Wise Function for Heavy Light Mesons in D dimensional Potential Model
• A Higher Dimensional Potential Model Approach in the Study of Isgur-Wise Function for Heavy-Light Mesons

Cited by in corpus (2)

• Isgur-Wise function within a QCD quark model with Airy's function as the wave function of heavy-light mesons
• Effective String Theory Inspired Potential and Meson Masses in Higher Dimension