  The D-dimensional Klein-Gordon (KG) wave equation with unequal scalar and
time-like vector Cornell interactions is solved by the Laplace transform
method. In fact, we obtained the bound state energy eigenvalues of the spinless
relativistic heavy quarkonium systems under such potentials. Further, the
stationary states are calculated due to the good behavior of wave functions at
the origin and at infinity. The statistical properties of this model are also
investigated. Our results are found to be of great importance in particle
physics.
