Keywords many-body methods, nuclear interactions, chiral effective field theory, quantum Monte Carlo methods, light and medium-mass nuclei, electroweak properties of nuclei
AbstractIn recent years, the combination of precise quantum Monte Carlo (QMC) methods with realistic nuclear interactions and consistent electroweak currents, in particular those constructed within effective field theories (EFTs), has lead to new insights in light and medium-mass nuclei, neutron matter, and electroweak reactions. This compelling new body of work has been made possible both by advances in QMC methods for nuclear physics, which push the bounds of applicability to heavier nuclei and to asymmetric nuclear matter and by the development of local chiral EFT interactions up to next-to-next-to-leading order and minimally nonlocal interactions including ∆ degrees of freedom. In this review, we discuss these recent developments and give an overview of the exciting results for nuclei, neutron matter and neutron stars, and electroweak reactions. arXiv:1901.04868v1 [nucl-th] 15 Jan 2019 QMC: quantum Monte Carlo GFMC: Green's function Monte Carlo AFDMC: auxiliary field diffusion Monte Carloprocesses of nuclei with A ≤ 12, where A is the number of nucleons, with a percent-level accuracy. Because it sums over all spin/isospin states, the GFMC scales exponentially with A, which presently prevents its applicability to A > 12 nuclei. The AFDMC method, on the other hand, uses Hubbard-Stratonovich transformations to sample the spin/isospin degrees of freedom and achieve a polynomial scaling in A. This has enabled the computation of systems with larger A, such as 16 O and neutron matter, at the cost of using somewhat simplified wave functions.In this review, we present state-of-the-art QMC results for nuclei up to 16 O and neutron matter using nuclear EFT interactions, and electroweak processes using realistic phenomenological potentials, and discuss future directions. The review is structured as follows.In Section 2 we discuss nuclear interactions: Starting with phenomenological ones for context and moving to those based on chiral EFT. In Section 3 we briefly discuss electroweak currents. In Section 4 we introduce the GFMC and AFDMC methods for nuclear physics. In Sections 5 to 7 we present recent results for light and medium-mass nuclei, neutron matter and neutron stars, as well as for electroweak reactions. www.annualreviews.org • Quantum Monte Carlo Methods in Nuclear Physics: Recent Advances 3 6 Lynn et al.