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Physics of Particles and Nuclei

Ultracold collisions in the system of three helium atoms

Elena A. Kolganova, Alexander Konstantinovich Motovilov, Werner Sandhas

Published Mar 1, 2009• 31 citations
Publisher

Abstract

The Faddeev differential equations for a system of three particles with a hard-core interaction are described. Numerical results on the binding energies of the 4He3 and 3He4He2 trimers and on ultracold collisions of 3,4He atoms with 4He2 dimers obtained with the help of those differential equations are reviewed. The results obtained for the hard-core model using the Faddeev equations are compared with analogous results obtained by alternative methods.

DOI
10.1134/s106377960902004x

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The Faddeev differential equations for a system of three particles with a hard-core interaction are described. Numerical results on the binding energies of the 4He3 and 3He4He2 trimers and on ultracold collisions of 3,4He atoms with 4He2 dimers obtained with the help of those differential equations are reviewed. The results obtained for the hard-core model using the Faddeev equations are compared with analogous results obtained by alternative methods.
Differential Faddeev equations in total angular momentum representation are used for the first time to investigate ultra-low energy elastic scattering of a helium atom on a helium dimer. Six potential models of interatomic interaction are investigated. The results improve and extend the Faddeev equations based results known in literature. The employed method can be applied to investigation of different elastic and inelastic processes in three- and four-atomic weakly bounded systems below three-body threshold. 1