Related papers: Bound State Solution Schr\"{o}dinger Equation for Extended Cornell Potential at Finite Temperature

Bound State Solution Schr\"{o}dinger Equation for Extended Cornell Potential at Finite Temperature

URL: http://arxiv.org/abs/2104.04526v2
Date: Sun, 23 May 2021 13:38:42 GMT
Title: Bound State Solution Schr\"{o}dinger Equation for Extended Cornell Potential at Finite Temperature
Authors: A.I. Ahmadov, K.H. Abasova, M.Sh. Orucova
Abstract summary: We study the finite temperature-dependent Schr"odinger equation by using the Nikiforov-Uvarov method. We consider the sum of the Cornell, inverse quadratic, and harmonic-type potential as the potential part of the radial Schr"odinger equation.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: In this paper, we study the finite temperature-dependent Schr\"{o}dinger equation by using the Nikiforov-Uvarov method. We consider the sum of the Cornell, inverse quadratic, and harmonic-type potential as the potential part of the radial Schr\"{o}dinger equation. Analytical expressions for the energy eigenvalues and the radial wave function are presented. Application of the results for the heavy quarkonia and $B_c$ meson masses are good agreement with the current experimental data except for zero angular momentum quantum numbers. Numerical results for the temperature dependence indicates a different behaviour for different quantum numbers. Temperature-dependent results are in agreement with some QCD sum rule results from the ground states.

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