Quantum Monte Carlo methods for nuclear physics

Carlson, J.; Gandolfi, S.; Pederiva, F.; Pieper, Steven C.; Schiavilla, R.; Schmidt, K. E.; Wiringa, R. B.

doi:10.1103/RevModPhys.87.1067

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:

Carlson, J. ^[1]; Gandolfi, S. ^[1]; Pederiva, F. ^[2]; Pieper, Steven C. ^[3]; Schiavilla, R. ^[4]; Schmidt, K. E. ^[5]; Wiringa, R. B. ^[3]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Univ. di Trento, Trento (Italy); Trento Institute for Fundamental Physics and Applications, Trento (Italy)
Argonne National Lab. (ANL), Argonne, IL (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Arizona State Univ., Tempe, AZ (United States)

Publication Date:: 2015-09-09

Research Org.:: Los Alamos National Lab. (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.

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                    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.  doi:https://doi.org/10.1103/RevModPhys.87.1067

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                    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.  doi:https://doi.org/10.1103/RevModPhys.87.1067.  https://www.osti.gov/servlets/purl/1234422.

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@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         = {2015},

  month        = {9}

}

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Title: Quantum Monte Carlo methods for nuclear physics

Abstract

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Measurement of Muon Neutrino Quasielastic Scattering on Carbon journal, January 2008

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Measurement of neutrino-proton and antineutrino-proton elastic scattering journal, February 1987

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3H and 3He electromagnetic form factors journal, October 1994

Quantum chemistry by random walk. H 2 P , H + 3 D 3 h 1 A ′ 1 , H 2 3 Σ + u , H 4 1 Σ + g , Be 1 S journal, November 1976

Measurement of the Muon Capture Rate in Hydrogen Gas and Determination of the Proton’s Pseudoscalar Coupling g P journal, July 2007

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E FFECTIVE F IELD T HEORY FOR F EW -N UCLEON S YSTEMS journal, December 2002

The sample experiment and weak nucleon structure journal, March 2005

Electroweak Nuclear Response in the Quasielastic Regime journal, September 2010

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Review of Particle Physics journal, July 2012

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Weak proton capture reactions on H 1 and He 3 and tritium β decay journal, August 1991

Euclidean proton response in light nuclei journal, June 1992

Inclusive electron scattering and pion degrees of freedom in light nuclei journal, June 1994

Structure and dynamics of few-nucleon systems journal, July 1998

Microscopic calculations of He 5 with realistic interactions journal, July 1987

Monte Carlo simulation of a many-fermion study journal, October 1977

Path integrals in the theory of condensed helium journal, April 1995

A Skyrme parametrization from subnuclear to neutron star densities journal, December 1997

A Skyrme parametrization from subnuclear to neutron star densities Part II. Nuclei far from stabilities journal, May 1998

Neutron matter: a superfluid gas journal, December 2004

Meson exchange currents in nuclear weak and electromagnetic interactions journal, March 1971

Density slope of the nuclear symmetry energy from the neutron skin thickness of heavy nuclei journal, August 2010

Pair Decay Width of the Hoyle State and its Role for Stellar Carbon Production journal, July 2010

Two-pion-exchange three-nucleon force and the H 3 and He 3 nuclei journal, October 1983

Spectroscopic factors for the 1p shell journal, September 1967

The two-pion-exchange three-nucleon potential and nuclear matter journal, April 1979

Electroweak Radiative Corrections to Muon Capture journal, July 2007

Determination of the Equation of State of Dense Matter journal, October 2002

A two-solar-mass neutron star measured using Shapiro delay journal, October 2010

Nuclear charge-density-distribution parameters from elastic electron scattering journal, May 1987

Self-consistent Green's function method for nuclei and nuclear matter journal, April 2004

Elastic magnetic electron scattering from nuclei journal, July 1984

Accurate nucleon–nucleon potential based upon chiral perturbation theory journal, January 2002

Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory journal, October 2003

Nuclear forces from chiral Lagrangians using the method of unitary transformation (I): Formalism journal, July 1998

Modern theory of nuclear forces journal, December 2009

Structure and Rotations of the Hoyle State journal, December 2012

Ab Initio Calculation of the Spectrum and Structure of O 16 journal, March 2014

Ab Initio Calculation of the Hoyle State journal, May 2011

Charge independence breaking and charge symmetry breaking in the nucleon–nucleon interaction from effective field theory journal, August 1999

Three-nucleon forces from chiral effective field theory journal, December 2002

Constraints on the Be 7 ( p , γ ) B 8 radiative capture rate from charge symmetry journal, October 2004

Fermi hypernetted chain calculations in a periodic box journal, July 2001

On the Structure of the Nuclei Between Helium and Oxygen journal, January 1937

Benchmarks of the full configuration interaction, Monte Carlo shell model, and no-core full configuration methods
journal, November 2012

From low-density neutron matter to the unitary limit
journal, May 2009

Precision Measurements of the Nucleon Strange Form Factors at $Q^{2} \sim 0.1 {GeV}^{2}$
journal, January 2007

A precision measurement of nuclear muon capture on 3He
journal, January 1998

Solar fusion cross sections. II. The $p p$ chain and CNO cycles
journal, April 2011

Measurement of Muon Neutrino Quasielastic Scattering on Carbon
journal, January 2008

New Precision Limit on the Strange Vector Form Factors of the Proton
journal, March 2012

Measurement of neutrino-proton and antineutrino-proton elastic scattering
journal, February 1987

Equation of state of nucleon matter and neutron star structure
journal, September 1998

3H and 3He electromagnetic form factors
journal, October 1994

Quantum chemistry by random walk. H ² P , H ⁺ ₃ D _{3 h} ¹ A ′ ₁ , H ₂ ³ Σ ⁺ _u , H ₄ ¹ Σ ⁺ _g , Be ¹ S
journal, November 1976

Measurement of the Muon Capture Rate in Hydrogen Gas and Determination of the Proton’s Pseudoscalar Coupling $g_{P}$
journal, July 2007

Parity-violating electroweak asymmetry in $\vec{e} p$ scattering
journal, June 2004

A Massive Pulsar in a Compact Relativistic Binary
journal, April 2013

Electromagnetic reactions on light nuclei
journal, November 2014

Quasielastic neutrino scattering: A measurement of the weak nucleon axial-vector form factor
journal, June 1981

Integral Relations for Three-Body Continuum States with the Adiabatic Expansion
journal, August 2009

Ab initio no core shell model
journal, March 2013

Light nuclei and hypernuclei from quantum chromodynamics in the limit of SU(3) flavor symmetry
journal, February 2013

E FFECTIVE F IELD T HEORY FOR F EW -N UCLEON S YSTEMS
journal, December 2002

The sample experiment and weak nucleon structure
journal, March 2005

Electroweak Nuclear Response in the Quasielastic Regime
journal, September 2010

Subleading contributions to the chiral three-nucleon force. II. Short-range terms and relativistic corrections
journal, November 2011

Review of Particle Physics
journal, July 2012

QCD accurately predicts the induced pseudoscalar coupling constant
journal, December 1994

From low-momentum interactions to nuclear structure
journal, July 2010

Computational nuclear quantum many-body problem: The UNEDF project
journal, October 2013

Level densities of nickel isotopes: Microscopic theory versus experiment
journal, July 2013

Constrained-Path Quantum Monte Carlo Approach for the Nuclear Shell Model
journal, July 2013

Quantum Monte Carlo calculations of spectroscopic overlaps in $A ⩽ 7$ nuclei
journal, August 2011

Mapping Crustal Heating with the Cooling Light Curves of Quasi-Persistent Transients
journal, May 2009

Maximum entropy analysis of oversampled data problems
journal, April 1990

Analysis of flux-integrated cross sections for quasi-elastic neutrino charged-current scattering off ${}^{12}C$ at energies available at the MiniBooNE experiment
journal, November 2010

Electromagnetic N - Δ transition at high $Q^{2}$
journal, November 1986

Green’s function Monte Carlo study of light nuclei
journal, November 1987

Alpha particle structure
journal, October 1988

GFMC studies of low-density neutron matter
journal, July 2003

Superfluid Fermi Gases with Large Scattering Length
journal, July 2003

Quantum Monte Carlo approaches to nuclear and atomic physics
journal, January 2012

Longitudinal and transverse quasielastic response functions of light nuclei
journal, January 2002

Quantum Monte Carlo calculations of neutron matter
journal, August 2003

Variational Monte Carlo calculations of ${}^{3}H$ and ${}^{4}{He}$ with a relativistic Hamiltonian
journal, February 1993

Three-nucleon interaction in 3-, 4- and ∞-body systems
journal, May 1983

Weak proton capture reactions on ${}^{1}H$ and ${}^{3}{He}$ and tritium β decay
journal, August 1991

Euclidean proton response in light nuclei
journal, June 1992

Inclusive electron scattering and pion degrees of freedom in light nuclei
journal, June 1994

Structure and dynamics of few-nucleon systems
journal, July 1998

Microscopic calculations of ${}^{5}{He}$ with realistic interactions
journal, July 1987

Monte Carlo simulation of a many-fermion study
journal, October 1977

Path integrals in the theory of condensed helium
journal, April 1995

A Skyrme parametrization from subnuclear to neutron star densities
journal, December 1997

A Skyrme parametrization from subnuclear to neutron star densities Part II. Nuclei far from stabilities
journal, May 1998

Neutron matter: a superfluid gas
journal, December 2004

Meson exchange currents in nuclear weak and electromagnetic interactions
journal, March 1971

Density slope of the nuclear symmetry energy from the neutron skin thickness of heavy nuclei
journal, August 2010

Pair Decay Width of the Hoyle State and its Role for Stellar Carbon Production
journal, July 2010

Two-pion-exchange three-nucleon force and the ${}^{3}H$ and ${}^{3}{He}$ nuclei
journal, October 1983

Spectroscopic factors for the 1p shell
journal, September 1967

The two-pion-exchange three-nucleon potential and nuclear matter
journal, April 1979

Electroweak Radiative Corrections to Muon Capture
journal, July 2007

Determination of the Equation of State of Dense Matter
journal, October 2002

A two-solar-mass neutron star measured using Shapiro delay
journal, October 2010

Nuclear charge-density-distribution parameters from elastic electron scattering
journal, May 1987

Self-consistent Green's function method for nuclei and nuclear matter
journal, April 2004

Elastic magnetic electron scattering from nuclei
journal, July 1984

Accurate nucleon–nucleon potential based upon chiral perturbation theory
journal, January 2002

Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory
journal, October 2003

Nuclear forces from chiral Lagrangians using the method of unitary transformation (I): Formalism
journal, July 1998

Modern theory of nuclear forces
journal, December 2009

Structure and Rotations of the Hoyle State
journal, December 2012

Ab Initio Calculation of the Spectrum and Structure of ${}^{16}O$
journal, March 2014

Ab Initio Calculation of the Hoyle State
journal, May 2011

Charge independence breaking and charge symmetry breaking in the nucleon–nucleon interaction from effective field theory
journal, August 1999

Three-nucleon forces from chiral effective field theory
journal, December 2002

Constraints on the ${}^{7}{Be} (p, γ) {}^{8}B$ radiative capture rate from charge symmetry
journal, October 2004

Fermi hypernetted chain calculations in a periodic box
journal, July 2001

On the Structure of the Nuclei Between Helium and Oxygen
journal, January 1937

Quantum Monte Carlo simulations of solids
journal, January 2001

Pion-exchange contributions to the nuclear charge, current, and Hamiltonian operators
journal, April 1977

Chiral symmetry and three-nucleon forces
journal, January 1999