The relativistic J-matrix theory of scattering:: An analytic solution

The relativistic J-matrix is investigated in the case of Coulomb-free scattering for a general short-range spin-dependent perturbing potential and in two different L-2 bases. The resulting recursion relation of the reference problem, in this case, has an analytic solution. The nonrelativistic limit is obtained and shown to be identical to the familiar nonrelativistic J-matrix. (C) 2002 American Institute of Physics.