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

2024/06/25 by Abdul Aziz, Aziz, Abdul, Sabyasachi Roy +3
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2406.17293

openalex publication_date 2024/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We report improved wave function for mesons in QCD potential model approach using multiplicative method for solution of Schrödinger equation for the extreme cases of inter-quark separations (r→0 and r→∞). 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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