Dimensional Scaling Treatment with Relativistic Corrections for Stable Multiply Charged Atomic Ions in High-Frequency Super-Intense Laser Fields

TL;DR

This paper develops a relativistic dimensional scaling framework to analyze the stability of multiply-charged atomic ions in super-intense laser fields, demonstrating that these ions remain stable even with relativistic effects and offering a cost-effective computational approach.

Contribution

The paper introduces a relativistic dimensional scaling method for studying atomic ions in intense laser fields, validated against self-consistent field calculations, and extends the approach to include relativistic effects.

Findings

Multiply-charged ions remain stable in super-intense laser fields with relativistic corrections.

Dimensional scaling is a simpler, cost-effective alternative to 3D SCF calculations.

Relativistic effects do not destabilize the ions in high-field conditions.

Abstract

We present a theoretical framework which describes multiply-charged atomic ions, their stability within super-intense laser fields,also lay corrections to the systems due to relativistic effects. Dimensional scaling calculations with relativistic corrections for systems: H, H$^{-}$, H$^{2-}$, He, He$^{-}$, He$^{2-}$, He$^{3-}$ within super-intense laser fields were completed. Also completed were three-dimensional self consistent field calculations to verify the dimensionally scaled quantities. With the aforementioned methods the system's ability to stably bind 'additional' electrons through the development of multiple isolated regions of high potential energy leading to nodes of high electron density is shown. These nodes are spaced far enough from each other to minimized the electronic repulsion of the electrons, while still providing adequate enough attraction so as to bind the excess elections into orbitals. We have found that even with relativistic considerations these species are stably bound within the field. It was also found that performing the dimensional scaling calculations for systems within the confines of laser fields to be a much simpler and more cost-effective method than the supporting D=3 SCF method. The dimensional scaling method is general and can be extended to include relativistic corrections to describe the stability of simple molecular systems in super-intense laser fields.