A new ab initio method of calculating $Z_{eff}$ and positron annihilation rates using coupled-channel T-matrix amplitudes
Atomic Physics
2007-05-23 v1
Abstract
A new {\it ab initio} theoretical formulation to calculate and hence the positron annihilation rates is presented using the on-shell and half-offshell T-matrix scattering amplitudes without any explicit use of the scattering wave function. The formulation is exact and universal, as long as the dynamics of the system can be described by a Lippmann-Schwinger type equation. It could serve as an effective tool as all the , , and matrix formulations, yield directly the scattering amplitudes; not the wave function. We also present a basic numerical test of the formulation.
Cite
@article{arxiv.physics/0210116,
title = {A new ab initio method of calculating $Z_{eff}$ and positron annihilation rates using coupled-channel T-matrix amplitudes},
author = {P K Biswas},
journal= {arXiv preprint arXiv:physics/0210116},
year = {2007}
}
Comments
9 pages, 1 figure