Quantum Monte Carlo methods for nuclear physics

TL;DR

This paper reviews Quantum Monte Carlo methods applied to nuclear physics, highlighting their ability to accurately model light nuclei, nucleonic matter, and related reactions using realistic interactions and currents.

Contribution

It provides a comprehensive overview of continuum Quantum Monte Carlo techniques in nuclear physics, emphasizing their success in reproducing nuclear properties and reactions.

Findings

Accurate reproduction of low-lying nuclear states and moments

Prediction of properties of neutron matter and dense nucleonic matter

Application of methods to scattering and electroweak response studies

Abstract

Quantum Monte Carlo methods have proved very valuable to study the structure and reactions of light nuclei and nucleonic matter starting from realistic nuclear interactions and currents. These ab-initio calculations reproduce many low-lying states, moments and transitions in light nuclei, and simultaneously predict many properties of light nuclei and neutron matter over a rather wide range of energy and momenta. We review the nuclear interactions and currents, and describe the continuum Quantum Monte Carlo methods used in nuclear physics. These methods are similar to those used in condensed matter and electronic structure but naturally include spin-isospin, tensor, spin-orbit, and three-body interactions. We present a variety of results including the low-lying spectra of light nuclei, nuclear form factors, and transition matrix elements. We also describe low-energy scattering techniques, studies of the electroweak response of nuclei relevant in electron and neutrino scattering, and the properties of dense nucleonic matter as found in neutron stars. A coherent picture of nuclear structure and dynamics emerges based upon rather simple but realistic interactions and currents.