  The N-dimensional radial Schrodinger equation with an extended Cornell
potential is solved. The analytical exact iteration method is applied. The
energy eigenvalues are calculated in the N-dimensional space. The charmonium
meson, the bottomonium meson and the bc meson masses are calculated in the
N-dimensional space. The special cases are obtained from the general case. The
study of the effect of dimensionality number is studied. The mean value of the
radius and the mean square velocity of charmonium meson, bottomonium meson, and
bc meson are calculated. The present results are improved in comparison with
other recent studies and are in good agreement with the experimental data.
Therefore, the present method with the present potential gives successfully
description of heavy quarkonium properties.
