Machine Learning for Correlations of Electromagnetic Properties in Ab Initio Calculations

TL;DR

This paper introduces a machine learning approach that leverages correlations between energies, radii, and electromagnetic observables in ab initio nuclear calculations to accurately predict electromagnetic properties with uncertainty quantification.

Contribution

The work extends machine learning extrapolation methods to electromagnetic moments and introduces a new correlation-based model for reliable predictions in nuclear structure calculations.

Findings

Effective prediction of electric quadrupole moments across p-shell nuclei.

Uncertainty quantification enhances prediction reliability.

Model generalizes across different ab initio methods.

Abstract

In ab initio nuclear structure theory, accurately predicting electromagnetic observables, such as moments and transition rates, is essential for a comprehensive understanding of nuclear properties. However, computational limitations and conceptual difficulties often hinder the precise calculation of these observables. In this work, we extend machine learning methods for model-space extrapolations to electric quadrupole moments. We further present a new machine learning approach that leverages the correlations between energies, radii, and electromagnetic observables. By learning these correlations from no-core shell model calculations in accessible model spaces, this new model enables the prediction of converged electromagnetic observables from predictions of converged energies and radii, which can be obtained with established machine learning extrapolation tools. An essential property of our approach is the capability for uncertainty quantification, allowing for reliable predictions with combined statistical error estimates for many-body and interaction uncertainties. Being solely built upon the physical correlations of different observables, it can be generalized across different ab initio methods. We demonstrate the power of this new extrapolation scheme through a precision study of electric quadrupole moments across a wide range of p-shell nuclei.