Quantum Monte Carlo methods for nuclear physics

By J. Carlson, Stefano Gandolfi, F. Pederiva, S. Pieper, R. Schiavilla, K. Schmidt, R. Wiringa. 2014

538 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/4d23acaebfc3857026c9f71b69440b995aefb559

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. H. Hergert
2. I. Tews
3. Martin Freer
4. S. Reddy
5. Stefano Gandolfi
6. J. Carlson
7. A. Schwenk
8. P. Giannakeas

In Nuclear and High Energy Physics

1. H. Hergert
2. I. Tews
3. S. Reddy
4. A. Schwenk
5. Stefano Gandolfi
6. Martin Freer
7. J. Carlson
8. Titus Morris

Citations in the corpus

• Constraining the Speed of Sound inside Neutron Stars with Chiral Effective Field Theory Interactions and Observations (2018, methodology): “The stiffest EOS predicted by the phenomenological Hamiltonian AV8′+UIX (black line) barely satisfies both bounds in that case.”
• Microscopic clustering in light nuclei (2017, background): “A recent review on continuum quantum Monte Carlo methods in nuclear physics was recently published (Carlson et al., 2015).”
• The In-Medium Similarity Renormalization Group: A novel ab initio method for nuclei (2015, methodology): “Remarkably, it is now possible to perform quasi-exact calculations including threenucleon interactions of nuclei up to carbon or oxygen in quantum Monte Carlo (QMC) and no-core shell model (NCSM) calculations, and N = Z nuclei up through (28)Si in lattice effective field theory with Euclidean time p”
• A Guided Tour of ab initio Nuclear Many-Body Theory (2020, methodology): “(42) This projection can be implemented using Monte Carlo techniques in a variety of ways, which gives rise to different approaches like Green’s Function Monte Carlo (GFMC) or Auxiliary-Field Diffusion Monte Carlo (AFDMC) [156, 158].”
• Universal few-body physics and cluster formation (2017, methodology): “MC) calculations by using a \Jastrow-type" variational trial function (or a guiding function in the case of diusion MC), which includes a product of all zero energy two-body pair wavefunctions (Carlson et al., 2015; Dalfovo et al., 1999; Giorgini et al., 2008). To see why the cartoon-level appr”
• Nucleon-nucleon correlations, short-lived excitations, and the quarks within (2016, methodology): “(The influence of Fermi motion extends the contribution of the single-nucleon PDF to xB above 1, pushing the onset of the plateau to larger values of xB.) The function a2 was also computed using the Green’s function Monte Carlo method (Carlson et al., 2015) and it agrees well with the data.”
• Solving the quantum many-body problem with artificial neural networks (2016, unknown): “[1–3].”
• Neutrino non-standard interactions: A status report (2019, methodology): “leons’ momenta. Thus, one must construct a more complete formalism of nuclear dynamics which accounts for many-body nuclear eects. One way to consider this problem is using Quantum Monte Carlo (QMC) [369] computational methods to solve the nuclear many-body problem. Nuclei are systems made of strong”