Binding Energies and Dissociation Temperatures of Heavy Quarkonia at Finite Temperature and Chemical Potential in the N-dimensional space
arXiv:1708.03865 · doi:10.1155/2018/7356843
Abstract
The N-dimensional radial Schrödinger equation has been solved using the analytical exact iteration method (AEIM), in which the Cornell potential is generalized to finite temperature and chemical potential. The energy eigenvalues have been calculated in the N-dimensional space for any state (n, l). The present results have been applied for studying quarkonium properties such as charmonium and bottomonium masses. The binding energies and the mass spectra of heavy quarkonia are studied in the N-dimensional space. The dissociation temperatures for different states of heavy quarkonia are calculated in the three dimensional space. The influence of dimensionality number (N) has been discussed on the dissociation temperatures. A comparison is studied with other recent works. We conclude that the AEIM successes to predict the heavy-quarkonium properties at finite temperature and chemical potential.
arXiv comment17 Pages, 9 Figures, and 3 Tables
References in corpus (8)
- Colour Deconfinement and Quarkonium Binding
- Braaten-Pisarski Method at Finite Chemical Potential
- Exact solutions of the modified Kratzer potential plus ring-shaped potential in the D-dimensional Schrodinger equation by the Nikiforov-Uvarov method
- A gauge invariant Debye mass and the complex heavy-quark potential
- Screening of heavy quark free energies at finite temperature and non-zero baryon chemical potential
- Non-perturbative Quarkonium Dissociation in Hadronic Matter
- Thermodynamics of the quark-gluon plasma at finite chemical potential: color path integral Monte Carlo results
- Highly Accurate Analytic Presentation of Solution of the Schrödinger Equation
Cited by in corpus (3)
- Masses and Thermodynamics Properties of Heavy Mesons in the Non-Relativistic Quark Model Using Nikiforov-Uvarov Method
- Dissociation of Quarkonium in hot and Dense Media in an Anisotropic Plasma in the Non-Relativistic Quark Model
- Heavy-Light Mesons in the Non-Relativistic Quark Model Using Laplace Transformation Method