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Three-body configuration space calculations with hard-core potentials

1996/12/31 by E. A. Kolganova, Е. А. Колганова, A. K. Motovilov +2 · 1 citation
Physics and Astronomy · #Advanced Chemical Physics Studies #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #nucl-th #physics.atm-clus #physics.chem-ph

paper · pdf · doi:10.1088/0953-4075/31/6/014

published as J.Phys. B31 (1998) 1279-1302 · RevTeX, main file 97 kB (26 pages including 6 tables) plus 3 eps and 4 ps figures; published version of the paper

openalex publication_date 1998/03/28 · arxiv created 1998/10/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We present a mathematically rigorous method suitable for solving three-body bound-state and scattering problems when the inter-particle interaction is of a hard-core nature. The proposed method is a variant of the boundary condition model and it has been employed to calculate the binding energies for a system consisting of three atoms. Two realistic He-He interactions of Aziz and collaborators have been used for this purpose. The results obtained compare favourably with those previously obtained by other methods. We further used the model to calculate, for the first time, the ultralow-energy scattering phase shifts. This study revealed that our method is ideally suited for three-body molecular calculations where the practically hard-core of the inter-atomic potential gives rise to strong numerical inaccuracies that make calculations for these molecules cumbersome.

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