Binding Energies and Scattering Observables in the ^3He^4He_2 Atomic System

Abstract

The ^3He^4He_2 three-atomic system is studied on the basis of a hard-core version of the Faddeev differential equations. The binding energy of the ^3He^4He_2 trimer, scattering phase shifts, and the scattering length of a ^3He atom off a ^4He dimer are calculated using the LM2M2 and TTY He-He interatomic potentials.

Contribution to Proceedings of the 17th International IUPAP Conference on Few-Body Problems in Physics (Durham, North Carolina, USA, June 5-10, 2003)

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• Semi-analytic Faddeev solution to the $N$-boson problem with zero-range interactions
• Ultracold scattering processes in three-atomic helium systems
• Supersymmetric isospectral formalism for the calculation of near-zero energy states: application to the very weakly bound ${}^4$He trimer excited state
• Scattering length for helium atom-diatom collision