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Title: Comparison of classical and quantal calculations of helium three-body recombination

A general method to study classical scattering in n-dimension is developed. Through classical trajectory calculations, the three-body recombination is computed as a function of the collision energy for helium atoms, as an example. Quantum calculations are also performed for the J{sup Π} = 0{sup +} symmetry of the three-body recombination rate in order to compare with the classical results, yielding good agreement for E ≳ 1 K. The classical threshold law is derived and numerically confirmed for the Newtonian three-body recombination rate. Finally, a relationship is found between the quantum and classical three-body hard hypersphere elastic cross sections which is analogous to the well-known shadow scattering in two-body collisions.
Authors:
;  [1] ;  [2] ;  [3]
  1. Physics Department, Purdue University, West Lafayette, Indiana 47907 (United States)
  2. Joint Quantum Institute, University of Maryland, College Park, Maryland 20742 (United States)
  3. Department of Physics, University of Connecticut, Storrs, Connecticut 06269 (United States)
Publication Date:
OSTI Identifier:
22255237
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Chemical Physics; Journal Volume: 140; Journal Issue: 4; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; COLLISIONS; COMPARATIVE EVALUATIONS; CROSS SECTIONS; HELIUM; RECOMBINATION; SCATTERING; THREE-BODY PROBLEM