The structure of the atomic helium trimers: Halos and Efimov states

Details The structure of the atomic helium trimers: Halos and Efimov states The structure of the atomic helium trimers: Halos and Efimov states

1998-06-15

arxiv.org/abs/physics/9806020v1

J.Phys.B 31 (1998) 4085

Physics

Atomic Physics

32 pages containing 7 figures and 6 tables

Scientific paper

10.1088/0953-4075/31/18/008

The Faddeev equations for the atomic helium-trimer systems are solved numerically with high accuracy both for the most sophisticated realistic potentials available and for simple phenomenological potentials. An efficient numerical procedure is described. The large-distance asymptotic behavior, crucial for weakly bound three-body systems, is described almost analytically for arbitrary potentials. The Efimov effect is especially considered. The geometric structures of the bound states are quantitatively investigated. The accuracy of the schematic models and previous computations is comparable, i.e. within 20% for the spatially extended states and within 40% for the smaller ^4He-trimer ground state.

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