title: Comparison of classical and quantal calculations of helium three-body recombination.
abstract: 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.
authors: Physics Department, Purdue University, West Lafayette, Indiana 47907, USA.
authors: Jesús
authors: J
authors: Pérez-Ríos
authors: Joint Quantum Institute, University of Maryland, College Park, Maryland 20742, USA.
authors: Steve
authors: S
authors: Ragole
authors: Department of Physics, University of Connecticut, Storrs, Connecticut 06269, USA.
authors: Jia
authors: J
authors: Wang
authors: Physics Department, Purdue University, West Lafayette, Indiana 47907, USA.
authors: Chris H
authors: CH
authors: Greene