Ultra-low energy elastic scattering in a system of three He atoms

Abstract

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.

13 pages, 4 tables, 2 figures, elsart

References in corpus (1)

• The ${}^4$He tetramer ground state in the Faddeev-Yakubovsky differential equations formalism

Cited by in corpus (25)

• Adiabatic hyperspherical study of triatomic helium systems
• Low-Energy Universality in Atomic and Nuclear Physics
• Description of ${}^4$He tetramer bound and scattering states
• Three-Body Recombination of Identical Bosons with a Large Positive Scattering Length at Nonzero Temperature
• The Three-Boson System at Next-To-Next-To-Leading Order
• Effective Field Theory Analysis of Three-Boson Systems at Next-To-Next-To-Leading Order
• Effective Field Theory for Few-Boson Systems
• The Three-Nucleon System at Next-To-Next-To-Leading Order
• The ^4He trimer as an Efimov system
• The helium trimer with soft-core potentials
• Benchmark helium dimer and trimer calculations with a public few-body code
• Scattering length of the helium atom - helium dimer collision
• Momentum-space calculation of ${}^4$He triatomic system with realistic potential
• New Calculations of Recombination Rates for Cold ${}^4$He Atoms and Determination of Universal Scaling Functions
• Effective Range Corrections to Three-Body Recombination for Atoms with Large Scattering Length
• General integral relations for the description of scattering states using the hyperspherical adiabatic basis
• Universality Constraints on Three-Body Recombination for Cold Atoms: from 4He to 133Cs
• Three-body systems in physics of cold atoms and halo nuclei
• Progress in methods to solve the Faddeev and Yakubovsky differential equations
• Ultracold scattering processes in three-atomic helium systems
• Automatic grid construction for few-body quantum mechanical calculations
• Scattering length for helium atom-diatom collision
• Four-Body Systems at Large Cutoffs in Effective Field Theory
• Effective field theory analysis of boson-trimer bond lengths to next-to-leading order
• Effective Range Corrections in Few-Body Systems with large Scattering Length