  In this article I study pairing of two interacting particles in ideal 1D, 2D
and Bethe lattices. I employ the method of recursion that has been formulated
recently by Berciu et. al. to compute the pair functions in real space without
performing any integrations. Although, in higher dimensions the system sizes
that can be addressed with this method become limited, for disordered systems
this size limit can be increased by employing approximations.
