A new method of description of three-particle Coulombic systems

2010/12/15 by Vladimir B. Belyaev, Belyaev, Vladimir B., Andrey A. Naumkin +1
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Nuclear Theory (nucl-th) #math-ph #math.MP #nucl-th

paper · pdf · doi:10.48550/arxiv.1012.3327

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)

arxiv created 2010/12/15 · arxiv updated 2010/12/16

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, ppμ and other are presented.

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