Charge radii and leptonic decay constants of heavy–light mesons in a potential model

Abstract

We report the results for charge radii and decay constants of heavy–light D and B mesons in an improved QCD potential model. To enhance the effectiveness of short-range and long-range effect of the potential $$V(r)=-\frac{4 \alpha _\mathrm{s}}{3r}+\mathrm{br}$$ in the perturbative procedure a cutoff parameter $$r^P$$ is introduced as an integration limit. Another cutoff $$r_0$$ is used for the polynomial approximation of the series expansion used in the Dalgarno’s method of perturbation. The results obtained are found to be in agreement with other available data. The limitation of the approach is discussed in the manuscript.