English

The Coulomb phase shift revisited

Mathematical Physics 2017-03-29 v2 math.MP Nuclear Theory

Abstract

We investigate the Coulomb phase shift, and derive and analyze new and more precise analytical formulae. We consider next to leading order terms to the Stirling approximation, and show that they are important at small values of the angular momentum ll and other regimes. We employ the uniform approximation. The use of our expressions in low energy scattering of charged particles is discussed and some comparisons are made with other approximation methods.

Keywords

Cite

@article{arxiv.0912.3189,
  title  = {The Coulomb phase shift revisited},
  author = {J. C. A. Barata and L. F. Canto and M. S. Hussein},
  journal= {arXiv preprint arXiv:0912.3189},
  year   = {2017}
}

Comments

13 pages, 5 figures, 1 table

R2 v1 2026-06-21T14:24:42.380Z