  Heavy quarkonia, Bc-meson, and CS-meson masses are calculated within the
framework of the N-dimensional radial Schrodinger equation. The Cornell
potential is extended by including the harmonic oscillator potential. The
energy eigenvalues and the corresponding wave functions are calculated in the
N-dimensional space using the Nikiforov-Uvarov (NV) method. The energy
eigenvalues are obtained in the three-dimensional space. The mass of spectra of
charmonium, bottomonium, and mesons are calculated. The effect of
dimensionality number on the mass of quarkonium is investigated. A comparison
with other theoretical approaches is discussed. The obtained results are in
good agreement with experimental data. We conclude that the dimensionality
number plays an important role in studying the spectra of quarkonium masses.
The modified Cornell potential provides a good description of the spectra of
quarkonium masses.
