Eigenspectra and statistical properties of the Klein–Gordon equation with Cornell potential: Unequal mixings of scalar and time-like vector potentials

Abstract

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