# Parametrical CI+MBPT calculations of Th I energies and $g$-factors for even states

## TL;DR

This paper enhances the accuracy of theoretical calculations for Th I energies and g-factors using parametrized CI-MBPT, achieving excellent agreement with experimental data and enabling precise state assignments.

## Contribution

The study introduces multiple adjustment parameters in CI-MBPT to significantly improve the accuracy of energy and g-factor calculations for Th I.

## Key findings

- Results agree well with experimental data
- Method allows reliable state assignment
- Framework applicable to other actinides

## Abstract

In this paper, we study energies and $g$-factors for a large number of levels of Th I. We found that the accuracy of CI-MBPT can be substantially improved by using multiple adjustment parameters, which are introduced to regulate the second-order MBPT corrections for single valence energies and Coulomb interaction. The results for energies and $g$-factors are in excellent agreement with experiment, with accuracy sufficient to positively assign theoretical states of given angular momentum and parity to experimental levels. This theory will be further developed in the future to treat other, even more complicated actinides such as U I.