Regular Article

Coulomb Green’s functions in the problem of photodetachment of the negatively charged hydrogen ion

¹ Atomic Molecular and Optical Physics Research Group, Advanced Institute of Materials Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam
² Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City, Vietnam
³ Department of Physics, Belarusian State University, 220030 Minsk, Belarus
⁴ Department of Physics, University of Education, The University of Da Nang, 550000 Da Nang, Vietnam
⁵ Institute of Research and Development, Duy Tan University, 550000 Da Nang, Vietnam

^a e-mail: ilya.feranchuk@tdtu.edu.vn
^b e-mail: dvlu@ued.udn.vn
^c e-mail: nvhieu@ued.udn.vn
^d e-mail: hieunn@duytan.edu.vn

Received: 28 August 2018
Received in final form: 25 March 2019
Published online: 23 May 2019

Abstract

We propose a new approach to calculate the photodetachment cross section of the atom using the Green’s function for summation over the final states of the system. In the present work, we approbate this approach for calculation of the photodetachment cross section for the two electron atomic system, namely, the negatively charged hydrogen ion H⁻ using the two-electron Coulomb Green’s function. The analytical form of this function is obtained by convolution of the one-particle Coulomb Green’s functions in the framework of the regular perturbation theory. Our results are in a good agreement with available experimental data.