English

Validity of Born Approximation for Nuclear Scattering in Path Integral Representation

Nuclear Theory 2009-07-02 v1

Abstract

The first and second Born approximation are studied with the path integral representation for T {\cal T} matrix. The T {\cal T} matrix is calculated for Woods-Saxon potential scattering. To make corresponding integrals solvable analytically, an approximate function for the Woods-Saxon potential is used. Finally it shown that the Born series is converge at high energies and orders higher than two in Born approximation series can be neglected.

Keywords

Cite

@article{arxiv.0907.0115,
  title  = {Validity of Born Approximation for Nuclear Scattering in Path Integral Representation},
  author = {M. R. Pahlavani and R. Morad},
  journal= {arXiv preprint arXiv:0907.0115},
  year   = {2009}
}
R2 v1 2026-06-21T13:20:00.920Z