Ultra-low energy scattering of a He atom off a He dimer

Abstract

We present a new, mathematically rigorous, method suitable for bound state and scattering processes calculations for various three atomic or molecular systems where the underlying forces are of a hard-core nature. We employed this method to calculate the binding energies and the ultra-low energy scattering phase shifts below as well as above the break-up threshold for the three He-atom system. The method is proved to be highly successful and suitable for solving the three-body bound state and scattering problem in configuration space and thus it paves the way to study various three-atomic systems, and to calculate important quantities such as the cross-sections, recombination rates etc.

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References in corpus (1)

• Three-body recombination of ultra-cold atoms to a weakly bound $s$ level

Cited by in corpus (8)

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• Scattering length of the helium atom - helium dimer collision
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• Ultracold scattering processes in three-atomic helium systems
• Scattering of cold ${}^4$He on ${}^4$He${-}^{6,7}$Li and ${}^4$He${-}^{23}$Na molecules
• Quantum Monte Carlo studies of a trimer scaling function with microscopic two- and three-body interactions
• Emergence of N-body tunable interactions in universal few-atom system
• The role of the effective range in strongly-interacting few-body systems