Application of the Variational R-matrix Method for the Dirac Equation to the Be Atom
Atomic Physics
2025-11-25 v1 Quantum Physics
Abstract
This paper presents an implementation of the non-iterative eigenchannel R-matrix method for the Dirac equation. It includes a brief introduction, implementation details, and results for the photoionization cross-section of the beryllium atom. Beryllium is a convenient test due to small but significant relativistic effects. The current calculation aligns with other R-matrix calculations and experiments. It observes the change in the Fano line shape of the (2pnd)1P series and, reveals a previously unnoticed coupling between triplet and singlet series observable in the ground state photoionization cross-section.
Cite
@article{arxiv.2408.09329,
title = {Application of the Variational R-matrix Method for the Dirac Equation to the Be Atom},
author = {Chris H. Greene and Miguel A. Alarcón},
journal= {arXiv preprint arXiv:2408.09329},
year = {2025}
}