  Trigonometric Rosen-Morse potential is suggested as the quark-antiquark
interaction potential for studying the thermodynamic properties and the masses
of heavy and heavy-light mesons. For this purpose, N-radial Schrodinger
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, bottomonium, bc, and cs 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.
