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Title: Quantum Monte Carlo methods for nuclear physics

Abstract

Quantum Monte Carlo methods have proved 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. The nuclear interactions and currents are reviewed along with a description of 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. A variety of results are presented, including the low-lying spectra of light nuclei, nuclear form factors, and transition matrix elements. 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 are also described. Furthermore, a coherent picture of nuclear structure and dynamics emerges based upon rather simple but realistic interactions and currents.

Authors:
 [1];  [1];  [2];  [3];  [4];  [5];  [3]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Univ. di Trento, Trento (Italy); Trento Institute for Fundamental Physics and Applications, Trento (Italy)
  3. Argonne National Lab. (ANL), Argonne, IL (United States)
  4. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  5. Arizona State Univ., Tempe, AZ (United States)
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1234422
Alternate Identifier(s):
OSTI ID: 1214743
Report Number(s):
LA-UR-14-29251
Journal ID: ISSN 0034-6861; RMPHAT
Grant/Contract Number:  
AC52-06NA25396; AC02-06CH11357; AC05-06OR23177
Resource Type:
Accepted Manuscript
Journal Name:
Reviews of Modern Physics
Additional Journal Information:
Journal Volume: 87; Journal Issue: 3; Journal ID: ISSN 0034-6861
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Atomic and Nuclear Physics; Astronomy and Astrophysics

Citation Formats

Carlson, J., Gandolfi, S., Pederiva, F., Pieper, Steven C., Schiavilla, R., Schmidt, K. E., and Wiringa, R. B.. Quantum Monte Carlo methods for nuclear physics. United States: N. p., 2015. Web. doi:10.1103/RevModPhys.87.1067.
Carlson, J., Gandolfi, S., Pederiva, F., Pieper, Steven C., Schiavilla, R., Schmidt, K. E., & Wiringa, R. B.. Quantum Monte Carlo methods for nuclear physics. United States. https://doi.org/10.1103/RevModPhys.87.1067
Carlson, J., Gandolfi, S., Pederiva, F., Pieper, Steven C., Schiavilla, R., Schmidt, K. E., and Wiringa, R. B.. Wed . "Quantum Monte Carlo methods for nuclear physics". United States. https://doi.org/10.1103/RevModPhys.87.1067. https://www.osti.gov/servlets/purl/1234422.
@article{osti_1234422,
title = {Quantum Monte Carlo methods for nuclear physics},
author = {Carlson, J. and Gandolfi, S. and Pederiva, F. and Pieper, Steven C. and Schiavilla, R. and Schmidt, K. E. and Wiringa, R. B.},
abstractNote = {Quantum Monte Carlo methods have proved 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. The nuclear interactions and currents are reviewed along with a description of 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. A variety of results are presented, including the low-lying spectra of light nuclei, nuclear form factors, and transition matrix elements. 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 are also described. Furthermore, a coherent picture of nuclear structure and dynamics emerges based upon rather simple but realistic interactions and currents.},
doi = {10.1103/RevModPhys.87.1067},
journal = {Reviews of Modern Physics},
number = 3,
volume = 87,
place = {United States},
year = {Wed Sep 09 00:00:00 EDT 2015},
month = {Wed Sep 09 00:00:00 EDT 2015}
}

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Cited by: 440 works
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Three-Nucleon Forces from Chiral Effective Field Theory
text, January 2002


Quantum Monte Carlo calculations of excited states in A = 6--8 nuclei
text, January 2004


Nuclear Force from Lattice QCD
text, January 2006


An accurate nucleon-nucleon potential with charge-independence breaking
text, January 1994


Nuclear Matter on a Lattice
text, January 1999


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Isobaric multiplet mass equation within nuclear density functional theory
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Status and future of nuclear matrix elements for neutrinoless double-beta decay: a review
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In-medium similarity renormalization group for closed and open-shell nuclei
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Microscopic analysis of quasielastic scattering and breakup reactions of the neutron-rich nuclei Be 12 , 14
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Neutrinoless double- β decay matrix elements in light nuclei
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Relativistic Brueckner-Hartree-Fock theory for neutron drops
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Exploring new small system geometries in heavy ion collisions
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The properties of neutron star in the framework of relativistic Hartree–Fock model with unitary correlation operator method
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Perspective on the Origin of Hadron Masses
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Nonlocalized clustering and evolution of cluster structure in nuclei
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Challenges in nuclear structure theory
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Pairing effects on neutron matter equation of state and symmetry energy at subsaturation densities
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Applying the density matrix expansion with coordinate-space chiral interactions
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Nuclear Binding Near a Quantum Phase Transition
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Nucleus-Dependent Valence-Space Approach to Nuclear Structure
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From hadrons to quarks in neutron stars: a review
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Programmable quantum random number generator without postprocessing
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Neutrino event generators: foundation, status and future
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Exact restoration of Galilei invariance in density functional calculations with quantum Monte Carlo
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Nuclear transparency in Monte Carlo neutrino event generators
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Experimental study of the low-lying negative-parity states in Be 11 using the B 12 ( d , He 3 ) Be 11 reaction
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Evidence for prevalent Z = 6 magic number in neutron-rich carbon isotopes
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Probing the core of the strong nuclear interaction
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Equation of state of dense nuclear matter and neutron star structure from nuclear chiral interactions
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Alpha particle clusters and their condensation in nuclear systems
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Emergent properties of nuclei from ab initio coupled-cluster calculations
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From the microscopic to the macroscopic world: from nucleons to neutron stars
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Contact interaction in a unitary ultracold Fermi gas
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Low density nuclear matter with light clusters in a generalized nonlinear relativistic mean-field model
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Solving the quantum many-body problem with artificial neural networks
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Spectroscopy of Sc 50 and ab initio calculations of B ( M 3 ) strengths
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Neutron matter within QCD sum rules
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Evidence for prevalent Z = 6 magic number in neutron-rich carbon isotopes
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Nuclear Axial Currents in Chiral Effective Field Theory
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Emergent properties of nuclei from ab initio coupled-cluster calculations
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Testing semi-local chiral two-nucleon interaction in selected electroweak processes
text, January 2016


Axial Vector Form Factors of the Nucleon from Lattice QCD
text, January 2017


Light-nuclei spectra from chiral dynamics
text, January 2017


Quantified Gamow Shell Model interaction for $psd$-shell nuclei
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Relativistic Brueckner-Hartree-Fock theory for neutron drops
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From the microscopic to the macroscopic world: from nucleons to neutron stars
text, January 2019


Lattice QCD and Neutrino-Nucleus Scattering
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Axial Vector Form Factors from Lattice QCD that Satisfy the PCAC Relation
text, January 2019


Probing the core of the strong nuclear interaction
text, January 2020