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(Π) = 0(+) symmetry...

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Bibliographic Details
Published in:The Journal of chemical physics 2014-01, Vol.140 (4), p.044307-044307
Main Authors: Pérez-Ríos, Jesús, Ragole, Steve, Wang, Jia, Greene, Chris H
Format: Article
Language:English
Subjects:
ATOMIC AND MOLECULAR PHYSICS
Collision dynamics
COLLISIONS
COMPARATIVE EVALUATIONS
CROSS SECTIONS
Elastic scattering
HELIUM
Helium atoms
Hyperspheres
Mathematical analysis
Physics
RECOMBINATION
SCATTERING
THREE-BODY PROBLEM
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Summary: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(Π) = 0(+) 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.
ISSN:0021-9606
1089-7690
DOI:10.1063/1.4861851