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Title: Quantum Monte Carlo methods for nuclear physics

Journal Article · · Progress of Theoretical and Experimental Physics
DOI:https://doi.org/10.1093/ptep/pts031· OSTI ID:1183306
 [1];  [1];  [2];  [3];  [4];  [5];  [3]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Univ. of Trento (Italy)
  3. Argonne National Lab. (ANL), Argonne, IL (United States)
  4. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States)
  5. Arizona State Univ., Tempe, AZ (United States)

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.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Argonne National Laboratory (ANL), Argonne, IL (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
AC02- 05CH11231; AC02-06CH11357; AC05-06OR23177
OSTI ID:
1183306
Report Number(s):
LA-UR-14-29251; JLAB-THY-14-1989; DOE/OR/23177-3249; arXiv:1412.3081; National Science foundation grant PHY-1404405
Journal Information:
Progress of Theoretical and Experimental Physics, Vol. 2012, Issue 1; ISSN 2050-3911
Publisher:
Physical Society of JapanCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 60 works
Citation information provided by
Web of Science

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Cited By (42)

Nuclear Equation of State for Compact Stars and Supernovae book January 2018
Fermions in Two Dimensions: Scattering and Many-Body Properties journal August 2017
Chiral EFT based nuclear forces: achievements and challenges journal July 2016
Approximate self-energy for Fermi systems with large s-wave scattering length: a step towards density functional theory journal August 2019
Contact interaction in a unitary ultracold Fermi gas journal December 2015
Diffusion Monte Carlo study of strongly interacting two-dimensional Fermi gases journal February 2016
Density-functional theory for resonantly interacting fermions with effective range and neutron matter journal October 2016
Path-integral Monte Carlo study of particles obeying quantum mechanics and classical statistics journal October 2017
Superfluid Fermi atomic gas as a quantum simulator for the study of the neutron-star equation of state in the low-density region journal January 2018
Static response, collective frequencies, and ground-state thermodynamical properties of spin-saturated two-component cold atoms and neutron matter journal January 2018
Resummation of Diagrammatic Series with Zero Convergence Radius for Strongly Correlated Fermions journal September 2018
Symmetry Parameter Constraints from a Lower Bound on Neutron-matter Energy journal October 2017
Equations of state for supernovae and compact stars text January 2017
A new class of variance reduction techniques using lattice symmetries text January 2012
Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions text January 2013
Contact and Momentum Distribution of the Unitary Fermi Gas text January 2013
Constraints on Skyrme Equations of State from Properties of Doubly Magic Nuclei and Ab-Initio Calculations of Low-Density Neutron Matter text January 2013
Covariant approximation averaging text January 2014
Diffusion Monte Carlo study of strongly interacting two-dimensional Fermi gases text January 2015
Relativistic Effects and Three-Nucleon Forces in Nuclear Matter and Nuclei text January 2016
Symmetry Parameter Constraints From A Lower Bound On The Neutron-Matter Energy text January 2016
Path Integral Monte Carlo study of particles obeying quantum mechanics and classical statistics text January 2017
Resummation of diagrammatic series with zero convergence radius for strongly correlated fermions text January 2018
Nuclear Equation of state for Compact Stars and Supernovae text January 2018
Approximate self-energy for Fermi systems with large s-wave scattering length: a step towards density functional theory text January 2019
Predicting energies of small clusters from the inhomogeneous unitary Fermi gas journal July 2014
Trapped unitary two-component Fermi gases with up to ten particles journal July 2015
Precursor of superfluidity in a strongly interacting Fermi gas with negative effective range journal April 2018
Cluster Formation in Two-Component Fermi Gases journal August 2019
Effective-range dependence of two-dimensional Fermi gases text January 2017
Effective-range dependence of resonant Fermi gases text January 2017
The Unitary Fermi Gas in a Harmonic Trap and its Static Response preprint January 2012
Auxiliary field Monte-Carlo simulation of strong coupling lattice QCD for QCD phase diagram text January 2014
Pairing and superfluidity of nucleons in neutron stars preprint January 2014
Quantum Monte Carlo methods for nuclear physics text January 2014
Vortices in low-density neutron matter and cold Fermi gases text January 2019
Superfluid Phase Transitions and Effects of Thermal Pairing Fluctuations in Asymmetric Nuclear Matter text January 2019
Theory of strongly paired fermions with arbitrary short-range interactions text January 2019
Small amplitude collective modes of a finite-size unitary Fermi gas in deformed traps text January 2019
Clustering of Four-Component Unitary Fermions text January 2019
Pairing in two-dimensional Fermi gases with a coordinate-space potential text January 2019
Generalized Crossover in Interacting Fermions within the Low-Energy Expansion journal September 2019

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