Abstract
We consider the soft-core Coulomb potential within a semi-relativistic two-body framework which arises from the spinless Salpeter equation after some approximations valid for heavy interacting particles. To provide an analytical solution, we propose a novel ansatz solution to the arising Schrodinger-like equation and thereby obtain the ground-state energy. Our results, for the special case of ordinary Coulomb potential, are in complete agreement with the corresponding exact analytical solution. The spectrum is numerically reported for typical values of the potential parameters.
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