Abstract
Using an improved Greene-Aldrich approximation scheme to handle the centrifugal potential, we solve the D-dimensional Klein–Gordon equation with equal scalar and vector Bargmann potentials with a non-zero angular momentum number. The equation giving the bound-state energy eigenvalues as well as the corresponding normalized radial wave functions are obtained. The particular cases of Hultén and Yukawa potentials are also discussed. A lower-bound for the energy levels is obtained and their behaviour with the parameters of the Bargmann potential is analysed.
•The D-dimensional Klein–Gordon equation with equal scalar and vector Bargmann potentials is studied.•An improved Greene-Aldrich approximation scheme is used for the centrifugal barrier.•The spectroscopy of the model is analysed and important particular cases are discussed.