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Three-body systems with attractive 1/r potentials

J. P. D'Incao·S. C. Cheng·H. Suno·B. D. Esry
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Abstract

We have used the hyperspherical adiabatic representation to describe the system of three identical bosons in an spin stretched state interacting by an attractive 1/r potential. A proposal has been made how such a system might be realized experimentally in cold trapped atoms using extremely off-resonant laser fields [Phys. Rev. Lett. 84, 5687 (2000)]. We have obtained effective potentials, channel functions, and nonadiabatic couplings for this gravity-like interaction, allowing us to calculate the ground state energy with accuracy that substantially improves upon previous results. We have similarly calculated the energies for the first four 0^+ excited states. These results show that the simple adiabatic hyperspherical approximation offers an accurate description for such a system.

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J. P. D'Incao, S. C. Cheng, H. Suno, B. D. Esry. 2005-12-22. Three-body systems with attractive 1/r potentials. https://arxiv.org/abs/physics/0512207

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