English

New integrals in few-body problems

Mathematical Physics 2010-03-02 v2 math.MP

Abstract

This work is concerned with multi-dimensional integrals, which are making their appearance in few-body atomic and nuclear physics. It is shown that the relevant two- and three-dimensional integrals can be reduced to one-dimensional form. This implies that the internal one- and two-dimensional integrals can be evaluated in explicit analytic form in term of the familiar generalized hypergeometric functions. Some of the integrals are presented here for the first time.

Keywords

Cite

@article{arxiv.1002.3442,
  title  = {New integrals in few-body problems},
  author = {E. Z. Liverts and N. Barnea},
  journal= {arXiv preprint arXiv:1002.3442},
  year   = {2010}
}

Comments

13 pages

R2 v1 2026-06-21T14:48:19.510Z