scholarly journals Positron Annihilation in Perfect and Defective TiO<sub>2</sub> Rutile Crystal with Single Particle Wave Function: Slater Type Orbital and Modified Jastrow Functions

2014 ◽  
Vol 04 (01) ◽  
pp. 33-39 ◽  
Author(s):  
Trinh Hoa Lang ◽  
Chau Van Tao ◽  
Kieu Tien Dung ◽  
Le Hoang Chien
Keyword(s):  
Wave Function ◽  
Positron Annihilation ◽  
Single Particle ◽  
Slater Type ◽  
Slater Type Orbital ◽  
Single Particle Wave Function ◽  
Type Orbital ◽  
Rutile Crystal ◽  
Particle Wave Function

scholarly journals Positron annihilation rate in single atom with slater type orbital approximation

2013 ◽  
Vol 16 (4) ◽  
pp. 43-51
Author(s):  
Lang Hoang Trinh ◽  
Tao Van Chau ◽  
Chien Hoang Le ◽  
Hong Thi Yen Huynh ◽  
Tram Ngoc Huynh
Keyword(s):  
Positron Annihilation ◽  
Bound States ◽  
Pair Correlation ◽  
Analytical Form ◽  
Single Atom ◽  
Annihilation Rate ◽  
Slater Type ◽  
Slater Type Orbital ◽  
Type Orbital ◽  
Orbital Approximation

A theoretical approximation for the structure of many-positron and manyelectron atoms in bound states is presented. The purpose of this theory is to permit the calculation of positron lifetimes from annihilation enhancement factor which is directly estimated by pair correlation function for each element atom, but not analytical form of correlation functions which depend upon homogeneous electron gas Monte– Carlo simulation data. We therefore used a modified orbital approximation for the electrons and positron. The orbital modification consisting of explicit electronpositron and electron-electron correlation in each elec-tronic orbital was used for the electrons and positron wave functions. The kinetic energies of the electrons and positron were treated on the same footing, and the Born-Oppenheimer approximation was applied to the nuclei. In this paper we treated only those systems for the valance electrons in the real spatial coordinate of the atom or molecule. The complex of many-particle problem was solved by the Schrongdinger of one particle equation which is derived by Kohn–Sham approximation and single particle wave function of Slater type orbital. As a result of this model, the positron annihilation rate and lifetime in some atoms, Ti, Zn and Zr, were calculated.

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