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 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.

Quark-Antiquark Effective Potential in Symplectic Quantum Mechanics

“…Another interest is that the Cornell potential can be used to analyze the transition between the confined and unconfined phases of matter [8][9][10]. This potential is of considerable importance in various branches of physics such as propagation of gravitational waves, particle and nuclear physics [11][12][13][14][15], mathematical modeling of the parton vibrations inside hadronic system [16][17][18][19][20], quantum chromodynamics, and atomic physics [5,9,11,15]. It takes the form:…”

Quark-Antiquark Effective Potential in Symplectic Quantum Mechanics

“…Another interest is that the Cornell potential can be used to analyze the transition between the confined and unconfined phases of matter [6][7][8]. This potential is of considerable importance in various branches of physics such as propagation of gravitational waves, particle and nuclear physics [14,[57][58][59]61], mathematical modeling of the parton vibrations inside hadronic system [53][54][55][56]60], quantum chromodynamics and atomic physics [3,7,14,61]. It takes the form:…”