Application of the $J$-matrix Method to Faddeev-Merkuriev equation: beyond pseudostates
Atomic Physics
2015-06-26 v1
Abstract
A version of the -matrix method for solving numerically the three-body Faddeev-Merkuriev differential equations is proposed. This version allows to take into account the full spectrum of the two-body Coulomb subsystem. As a result, a discrete analog of the Lippmann-Schwinger equation is obtained which allows to interpret correctly the three-body wave function in two-body domains. The scheme is applied to calculations of the fully resolved absolute differential cross sections for the HeHe and HeHe reactions at small energy and momentum transfers. The results are in good agreement with the experiment both in shape and in absolute value.
Keywords
Cite
@article{arxiv.physics/0608042,
title = {Application of the $J$-matrix Method to Faddeev-Merkuriev equation: beyond pseudostates},
author = {S. A. Zaytsev and V. A. Knyr and Yu. V. Popov and A. Lahmam-Bennani},
journal= {arXiv preprint arXiv:physics/0608042},
year = {2015}
}
Comments
22 pages, 7 figures