Merkuriev Cut-off in e+ − H Multichannel Scattering Calculations

Vitaly Gradusov,Vladimir Roudnev,Sergey Yakovlev

doi:10.3390/atoms4010009

Vitaly Gradusov, Vladimir Roudnev + Show 1 more

Open Access

https://doi.org/10.3390/atoms4010009

Copy DOI

Journal: Atoms	Publication Date: Mar 1, 2016
Citations: 5	License type: CC BY 4.0

Affiliation: St Petersburg University

Abstract

We present the results of positron-Hydrogen multichannel scattering calculations performed on the base of Faddeev-Merkuriev equations. We discuss an optimal choice of the Merkuriev’s Coulomb splitting parameters. Splitting the Coulomb potential in two-body configuration space is applicable for a limited energy range. Splitting the potential in three-body configuration space makes it possible to perform calculations in a broader range of energies and to optimize the numerical convergence. Scattering cross sections for zero total angular momentum for all processes between the positronium formation threshold and the third excitation threshold of the Hydrogen atom are reported.

Highlights

Reactive scattering in three-body Coulomb systems is one of the most important problems for many fields of quantum physics
This is due to the fact that existing methods for solving scattering problem in few-body systems allow one to obtain reliable results that can later be used to test methods and models for calculating positron scattering on complex targets [1]
Non-variational approaches, that are critical for studying annihilation, are reduced to two basic types: Merkuriev-Faddeev equations formalism [2] and hyperspherical close coupling equations [3] or adiabatic hyperspherical close coupling equations formalism [4,5,6]

Summary

Introduction

Reactive scattering in three-body Coulomb systems is one of the most important problems for many fields of quantum physics. Positron scattering on atoms and ions is fundamentally important for understanding annihilation processes as well as for imaging applications in medicine and material science For these studies, precise calculations of electrons and positrons scattering on simple targets like atomic Hydrogen, Helium ion and molecular Hydrogen play an important role. Precise calculations of electrons and positrons scattering on simple targets like atomic Hydrogen, Helium ion and molecular Hydrogen play an important role This is due to the fact that existing methods for solving scattering problem in few-body systems allow one to obtain reliable results that can later be used to test methods and models for calculating positron scattering on complex targets [1]. Even though this system has been studied previously, it still provides a good example of a computationally challenging problem

Faddeev-Merkuriev Equations in Configuration Space

Results and Discussion

Conclusions