Quantum Mechanical Model of Three-Body Rearrangement Scattering. II. Calculations for a Resonance Energy

Abstract

In a companion paper, Robinson shows that the basis set which Hulburt and Hirschfelder used to obtain the transmission and reflection coefficients for a quantum mechanical model of reactive scattering of three atoms in a line was incomplete for a set of resonance energies. In the present paper, using Robinson's complete basis set, agreement is obtained with Tang, Kleinman, and Karplus's estimate of the transmission coefficient for E(8μl 2 / h 2 ) = 2 . It is found that the “point matching” method of solution does not converge as rapidly as the truncated Fourier series. Graphs of the flux and particle density are given.