Thermodynamics properties of heavy mesons are calculated within the framework of the N-dimensional radial Schr ̈dinger equation. The Cornell potential is extended by including the quadratic potential plus the inverse of quadratic potential. The energy eigenvalues and the corresponding wave functions are calculated in the N-dimensional space using the Nikiforov-Uvarov (NV) method. The obtained results are applied for calculating the mass of spectra of charmonium, bottomonium, b ̅ and c ̅ mesons. The thermodynamics properties of heavy quarkonia such as, the mean energy, specific heat, free energy, and entropy are calculated. The effect of temperature and the dimensionality number on heavy mesons masses and thermodynamics properties is investigated. The obtained results are improved in comparison with other theoretical approaches and in a good agreement with experimental data. We conclude that the present potential well describes thermodynamic properties in the three-dimensional space and also the higher dimensional space.

Trigonometric Rosen-Morse potential is suggested as the quarkantiquark interaction potential for studying the thermodynamic properties and the masses of heavy and heavy-light mesons. For this purpose, Nradial Schr dinger equation is analytically solved using an exact analytical iteration method (EAIM). The eigenvalues of energy and corresponding wave functions are obtained in the N-dimensional space. The present results are applied for calculating the mass of heavy mesons such as charmonium c ̅, bottomonium b ̅ , b ̅ and c ̅ mesons and thermodynamic properties such as the mean-internal energy, the specific heat, the free energy, and the entropy. The effect of dimensional number is studied on the meson masses. A comparison is studied with other works and experimental data. The present potential provides satisfying results in comparison with other works and experimental data.

No abstract

No abstract

A generalized fractional derivative of the analytical exact iteration method is used, in which the two-body potential in strongly coupled quark–gluon plasma is devoted to solve the N-dimensional radial Schrödinger equation. The energy eigenvalues for any state (n, l) and mass spectra in the N-dimensional space have been investigated. The dissociation temperatures were computed in the N-dimensional space for different states of quarkonia. The effect of fractional-order parameter is investigated on the dissociation temperatures of heavy quarkonium masses such as charmonium and bottomonium and thermodynamic properties such as entropy, free energy, internal energy, and specific heat in the 3D and the higher-dimensional space. Also, the effect of dimensionality number on dissociation temperatures is discussed. A comparison with other recent works is displayed. We deduce that the fractional-order plays an essential role in 3D and higher-dimensional space.