The notion of minimal length is a common feature of various frameworks which aim to unify quantum mechanics with general relativity. As a consequence, a new generalized uncertainty principle has been proposed to replace the standard Heisenberg principle and this is likely to affect all quantum systems. In this paper, we study the effects of a minimal length on the quantum system of two different particles interacting via a Coulomb-type potential and described by the asymmetrical spinless Salpeter equation. We use the momentum representation to derive the exact energy equation for bound-states and work out the associated wave functions. In particular, we find that the minimal length regularizes the singularity of the problem at the position origin.
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