LETTER TO THE EDITOR: Analytical treatment of the Green function singularity in integral equations of scattering theory

Article

LETTER TO THE EDITOR: Analytical treatment of the Green function singularity in integral equations of scattering theory

Pichl, L.; Horáček, J.

J. Phys. A: Math. Gen. 29(0), L405-L412 (1996)

Abstract

A technique for solving the Lippmann - Schwinger equation in momentum space based on Chebyshev polynomials is proposed. It is found that exact results are obtained for standard low-energy nuclear separable potentials with an extremely low number of meshpoints. The technique naturally leads to a class of analytically solvable separable potentials. The application of the Chebyshev technique to two local standard N - N potentials, Yukawa and Reid, is discussed.

Institute authors

Horáček, Jiří

BibTeX

@article{UTF213,
  author        = {Pichl, L. and Horáček, J.},
  title         = {{LETTER TO THE EDITOR: Analytical treatment of the Green function singularity in integral equations of scattering theory}},
  journal       = {J. Phys. A: Math. Gen.},
  volume        = {29},
  number        = {0},
  pages         = {L405-L412},
  year          = {1996},
  doi           = {10.1088/0305-4470/29/16/002},
  url           = {http://www.iop.org/EJ/abstract/0305-4470/29/16/002/},
}