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

Nambu-Goto action for bosonic string predicts the quark-antiquark potential to be $V(r) = -\fracγ{r}+ σr + μ_0$. The coefficient $γ=\frac{π(d-2)}{24}$ is the Lüscher coefficient of the Lüscher term $\fracγ{r}$, 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.