Parameterisation space for Cornell potential in a QCD potential model

We make a critical analysis on the free parameters of the Cornell potential - 4 alpha(s)/3r + br + c and provide a parameterisation space for the strong coupling constant alpha s and the constant shift c' for choosing linear part as pertur-bation in the potential model. In the analysis of heavy-light mesons (D, D-s, B, B-s and Bc), we have found a wide range of values for the coupling constant i.e 0.20 <= alpha(s) <= 0.64 with -1.2 <= c <= -0.66 which can be used to treat the confining part as perturbation.

Automated summary

We performed a critical analysis on the free parameters of the Cornell potential and provided a parameter space for the strong coupling constant and constant shift. In the analysis of heavy-light mesons, we found a wide range of values for the coupling constant and constant shift.