Bound states and scattering phase shift of relativistic spinless particles with screened Kratzer potential

The bound and scattering states of relativistic spinless particles with screened Kratzer potential were investigated using the modified factorization method. We employed the Greene–Aldrich approximation scheme and a coordinate transformation to obtain the approximate bound state energy eigenvalues in terms of the hypergeometric function, bound state eigenfunction, scattering state energy relation and scattering phase shift, respectively. The analytical and numerical results were presented. The effects of the potential parameters on the bound state energy eigenvalues and the scattering phase shift were discussed extensively and graphically. Our results promise to be very relevant in many areas of theoretical physics, chemistry, mathematics and engineering.