A new method of description of three-particle Coulombic systems

Vladimir B. Belyaev; Andrey A. Naumkin

A new method of description of three-particle Coulombic systems

Nuclear Theory 2010-12-16 v1 Mathematical Physics math.MP

Authors: Vladimir B. Belyaev , Andrey A. Naumkin

Abstract

We present a method for treatment of three charged particles. The proposed method has universal character and is applicable both for bound and continuum states. A finite rank approximation is used for Coulomb potential in three-body system Hamiltonian, that results in a system of one-dimensional coupled integral equations. Preliminary numerical results for three-body atomic and molecular systems like $H^{-}$ , He, $pp\mu$ and other are presented.

Keywords

three-body coulomb systems finite rank approximation coupled integral equations bound states continuum states atomic and molecular systems

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@article{arxiv.1012.3327,
  title  = {A new method of description of three-particle Coulombic systems},
  author = {Vladimir B. Belyaev and Andrey A. Naumkin},
  journal= {arXiv preprint arXiv:1012.3327},
  year   = {2010}
}

Comments

Extended version of publication in Proceedings of the 21st European Conference on Few-Body Problems in Physics (Salamanka, Spain, 29 August 2010 - 03 September 2010)

A new method of description of three-particle Coulombic systems

Abstract

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