Improved wave function for heavy-light mesons in QCD potential model approach and parameterization of the Cornell potential

Abdul Aziz; Sabyasachi Roy; Atri DEshamukhya

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arXiv · 2406.17293

Improved wave function for heavy-light mesons in QCD potential model approach and parameterization of the Cornell potential

Abdul Aziz·Sabyasachi Roy·Atri DEshamukhya

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Abstract

We report improved wave function for mesons in QCD potential model approach using multiplicative method for solution of Schr\"{o}dinger equation for the extreme cases of inter-quark separations ($r\rightarrow0$ and $r\rightarrow\infty$). Using the wave function we find the range of the scale factor c of the Cornell potential with reference to the mass scale of B and D sectors heavy-flavoured mesons. With our computed range of c, we also explore the critical inter-quark separation which should govern the choice of parent-child terms in perturbation method out of the linear and Coulombic terms of the Cornell potential.

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Abdul Aziz, Sabyasachi Roy, Atri DEshamukhya. 2024-06-25. Improved wave function for heavy-light mesons in QCD potential model approach and parameterization of the Cornell potential. https://arxiv.org/abs/2406.17293

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