Calculation of Low-Energy Positron-Atom Scattering with Square-Integrable Wavefunctions

被引：1

作者：

Gregg, Sarah ^{[1
]}

Gribakin, Gleb ^{[1
]}

机构：

[1] Queens Univ Belfast, Sch Math & Phys, Belfast BT7 1NN, North Ireland

来源：

ATOMS | 2022年 / 10卷 / 04期

关键词：

theoretical atomic and molecular physics; positron; hydrogen; annihilation; phase shift; scattering; ELASTIC-SCATTERING; ANNIHILATION; STATE;

D O I：

10.3390/atoms10040097

中图分类号：

O64 [物理化学（理论化学）、化学物理学]; O56 [分子物理学、原子物理学];

学科分类号：

070203 ; 070304 ; 081704 ; 1406 ;

摘要：

The variational method is applied to the low-energy positron scattering and annihilation problem. The ultimate aim of the investigation is to find a computationally economical way of accounting for strong electron-positron correlations, including the effect of virtual positronium formation. The method is applied to the study of elastic s-wave positron scattering from a hydrogen atom. A generalized eigenvalue problem is set up and solved to obtain s-wave positron-hydrogen scattering phase shifts within 8x10(-3) rad of accepted values. This is achieved using a small number of terms in the variational wavefunction; in particular, only nine terms that depend on the electron-positron distance are included. The annihilation parameter Z(eff) is also calculated and is found to be in good agreement with benchmark calculations.

引用

页数：20

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