Benchmarks of the full configuration interaction, Monte Carlo shell model, and no-core full configuration methods

TL;DR

This paper compares the accuracy and computational efficiency of three advanced nuclear physics methods—FCI, MCSM, and NCFC—in calculating properties of light nuclei, highlighting their convergence and resource scaling differences.

Contribution

It provides a systematic benchmark of three prominent nuclear structure calculation methods using the same realistic interaction.

Findings

Results are consistent across methods for ground state energies.

Methods differ significantly in computational resource scaling.

All approaches show similar convergence behavior for light nuclei.

Abstract

We report no-core solutions for properties of light nuclei with three different approaches in order to assess the accuracy and convergence rates of each method. Full configuration interaction (FCI), Monte Carlo shell model (MCSM) and no core full configuration (NCFC) approaches are solved separately for the ground state energy and other properties of seven light nuclei using the realistic JISP16 nucleon-nucleon interaction. The results are consistent among the different approaches. The methods differ significantly in how the required computational resources scale with increasing particle number for a given accuracy.