Deep Learning: A Tool for Computational Nuclear Physics

TL;DR

This paper introduces a neural network approach to predict atomic nuclei properties from ab initio nuclear physics calculations, overcoming computational challenges and improving accuracy in nuclear structure predictions.

Contribution

It presents a novel feed-forward neural network method to accurately predict nuclear properties from NCSM results, reducing computational complexity and satisfying theoretical physics conditions.

Findings

ANN predictions match established methods in large basis spaces

The approach efficiently estimates properties in the infinite matrix limit

Results demonstrate neural networks' potential in nuclear physics modeling

Abstract

In recent years, several successful applications of the Artificial Neural Networks (ANNs) have emerged in nuclear physics and high-energy physics, as well as in biology, chemistry, meteorology, and other fields of science. A major goal of nuclear theory is to predict nuclear structure and nuclear reactions from the underlying theory of the strong interactions, Quantum Chromodynamics (QCD). With access to powerful High Performance Computing (HPC) systems, several ab initio approaches, such as the No-Core Shell Model (NCSM), have been developed to calculate the properties of atomic nuclei. However, to accurately solve for the properties of atomic nuclei, one faces immense theoretical and computational challenges. The present study proposes a feed-forward ANN method for predicting the properties of atomic nuclei like ground state energy and ground state point proton root-mean-square (rms) radius based on NCSM results in computationally accessible basis spaces. The designed ANNs are sufficient to produce results for these two very different observables in 6Li from the ab initio NCSM results in small basis spaces that satisfy the theoretical physics condition: independence of basis space parameters in the limit of extremely large matrices. We also provide comparisons of the results from ANNs with established methods of estimating the results in the infinite matrix limit.