Isgur-Wise function and a new approach to Potential Model

TL;DR

This paper improves the potential model for heavy-light mesons by refining perturbation methods and calculating properties like masses and form factors, aligning theoretical predictions with experimental data.

Contribution

Introduces a modified Dalgarno's perturbation approach with dual scales to enhance potential model accuracy for heavy-light mesons.

Findings

Accurate ground state mass predictions for D, D_s, B, B_s, and B_c mesons.

Calculated form factor slopes and curvatures consistent with experimental data.

Enhanced perturbation method improves potential model predictions.

Abstract

Considering the Cornell potential $V(r)=-\frac{4\alpha_s}{3r}+br+c$, we have revisited the Dalgarno's method of perturbation by incorporating two scales $r^{short}$ and $r^{long}$ as integration limit so that the perturbative procedure can be improved in a potential model. With the improved version of the wave function the ground state masses of the heavy-light mesons $ D, D_s, B, B_s$ and $B_c $ are computed. The slopes and curvatures of the form factors of semi-leptonic decays of heavy-light mesons in both HQET limit and finite mass limit are calculated and compared with the available data.