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arXiv · 2010.00832

Parameterisation space for Cornell potential in a QCD potential model

Krishna Kingkar Pathak·Satyadeep Bhattacharya·Tapashi Das
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Abstract

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 perturbation in the potential model. In the analysis of heavy-light mesons $(D,D_{s},B,B_{s}~ \text{and} ~B_{c})$, we have found a wide range of values for the coupling constant i.e $0.20 \leq \alpha_{s}\leq 0.64$ with $-1.2 \leq c \leq -0.66$ which can be used to treat the confining part as perturbation.

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Krishna Kingkar Pathak, Satyadeep Bhattacharya, Tapashi Das. 2020-10-02. Parameterisation space for Cornell potential in a QCD potential model. https://doi.org/10.1140/epjc/s10052-022-11061-x

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