Parameterisation space for Cornell potential in a QCD potential model

Abstract

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

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