The relativistic J-matrix theory of scattering: an analytic solution
High Energy Physics - Theory
2015-06-26 v2
Abstract
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 L2 bases. The resulting recursion relation of the reference problem, in this case, has an analytic solution. The non-relativistic limit is obtained and shown to be identical to the familiar non-relativistic J-matrix. Scattering examples are given to verify the non-relativistic limit and calculate the relativistic effects in the phase shift.
Cite
@article{arxiv.hep-th/0112031,
title = {The relativistic J-matrix theory of scattering: an analytic solution},
author = {A. D. Alhaidari},
journal= {arXiv preprint arXiv:hep-th/0112031},
year = {2015}
}
Comments
This is an expanded vesrion of the article which is expected to appear in J. Math. Phys. in March 2002 (JMP ref. no. 1-0234). Moreover, illustrative scattering examples were added. Replaced with a more portable PDF version