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Title: Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions

Journal Article · · Physical Review C
 [1];  [2];  [3];  [3];  [4];  [5];  [6]
  1. Technical Univ. of Darmstadt (Germany). Inst. of Nuclear Physics; GSI Helmholtz Centre for Heavy Ion Research, Darmstadt (Germany)
  2. Univ. of Washington, Seattle, WA (United States). Inst. for Nuclear Theory
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  4. Univ. of Guelph, ON (Canada). Dept. of Physics
  5. Arizona State Univ., Tempe, AZ (United States). Dept. of Physics
  6. Technical Univ. of Darmstadt (Germany). Inst. of Nuclear Physics; GSI Helmholtz Centre for Heavy Ion Research, Darmstadt (Germany); Max Planck Inst. for Nuclear Physics, Heidelberg (Germany)

Local chiral effective field theory interactions have recently been developed and used in the context of quantum Monte Carlo few- and many-body methods for nuclear physics. In this paper, we go over detailed features of local chiral nucleon-nucleon interactions and examine their effect on properties of the deuteron, paying special attention to the perturbativeness of the expansion. We then turn to three-nucleon interactions, focusing on operator ambiguities and their interplay with regulator effects. We then discuss the nuclear Green's function Monte Carlo method, going over both wave-function correlations and approximations for the two- and three-body propagators. Finally, following this, we present a range of results on light nuclei: Binding energies and distribution functions are contrasted and compared, starting from several different microscopic interactions.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); LANL Laboratory Directed Research and Development (LDRD) Program; National Science Foundation (NSF); European Research Council (ERC); Natural Sciences and Engineering Research Council of Canada (NSERC)
Grant/Contract Number:
AC52-06NA25396; AC02-05CH11231; FG02-00ER41132; PHY-1430152; PHY-1404405; 307986
OSTI ID:
1415404
Alternate ID(s):
OSTI ID: 1410726
Report Number(s):
LA-UR-17-25004; TRN: US1800802
Journal Information:
Physical Review C, Vol. 96, Issue 5; ISSN 2469-9985
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 56 works
Citation information provided by
Web of Science

References (97)

Regulator artifacts in uniform matter for chiral interactions journal September 2016
Quantum Monte Carlo calculations of nuclei with A <~ 7 journal October 1997
Stochastic wave function for atomic helium journal November 1966
Femtometer toroidal structures in nuclei journal August 1996
On the correlation between the binding energies of the triton and the α-particle journal February 2005
High-accuracy Trotter-formula method for path integrals journal June 1995
Ab initio no core shell model journal March 2013
Accurate nucleon-nucleon potential with charge-independence breaking journal January 1995
Review of Particle Physics journal October 2016
Quantum Monte Carlo Calculations of Light Nuclei Using Chiral Potentials journal November 2014
Elastic electric and magnetic e-d scattering at low momentum transfer journal July 1981
Electromagnetic structure of the helium isotopes journal April 1977
Local chiral effective field theory interactions and quantum Monte Carlo applications journal November 2014
Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order journal May 2013
Pion Theory of Three-Body Forces journal March 1957
Improved nuclear matter calculations from chiral low-momentum interactions journal March 2011
Few-nucleon forces from chiral Lagrangians journal June 1994
Quantum Monte Carlo calculations of A = 8 nuclei journal June 2000
Realistic models of pion-exchange three-nucleon interactions journal June 2001
Precision Nucleon-Nucleon Potential at Fifth Order in the Chiral Expansion journal September 2015
Asymptotic D -state to S -state ratio of the deuteron journal March 1990
Zemach moments of He 3 and He 4 journal December 2014
Effect of spin-orbit nuclear charge density corrections due to the anomalous magnetic moment on halonuclei journal July 2010
Two-nucleon potential from chiral Lagrangians journal May 1996
The multiple-scattering series in pion-deuteron scattering and the nucleon-nucleon potential: perspectives from effective field theory journal May 2012
Quantum Monte Carlo Calculations of Neutron- α Scattering journal July 2007
Local chiral potentials with Δ -intermediate states and the structure of light nuclei journal November 2016
Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory journal October 2003
Real-space imaginary-time propagators for non-local nucleon-nucleon potentials journal July 2012
Simple parametrization of nucleon form factors journal December 2004
Quantum Monte Carlo calculations of two neutrons in finite volume journal November 2016
Local three-nucleon interaction from chiral effective field theory journal November 2007
Elastische Elektronenstreuung an4He zwischen 30 und 59 MeV journal April 1968
Coupled-cluster computations of atomic nuclei journal September 2014
Effective chiral lagrangians for nucleon-pion interactions and nuclear forces journal September 1991
Phenomenology of the deuteron electromagnetic form factors journal March 2000
Low energy nucleon-trinucleon scattering in the integral equation approach journal August 1976
The two-nucleon system at next-to-next-to-next-to-leading order journal January 2005
Monte Carlo calculations of triton and 4He nuclei with the Reid potential journal May 1981
Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including Δ resonances journal February 2015
Three-body interactions among nucleons and pions journal November 1992
Chiral Three-Nucleon Interactions in Light Nuclei, Neutron- α Scattering, and Neutron Matter journal February 2016
Nuclear forces from chiral lagrangians journal November 1990
Structure of the He 4 Nucleus from Elastic Electron Scattering journal August 1967
Chiral effective field theory and nuclear forces journal June 2011
Ab Initio Calculation of the Hoyle State journal May 2011
3H and 3He electromagnetic form factors journal October 1994
Neutron and weak-charge distributions of the 48Ca nucleus journal November 2015
Elastic Electron Scattering from He 3 and He 4 at High Momentum Transfer journal May 1978
Quadrupole moment of the deuteron from a precise calculation of the electric field gradient in D 2 journal August 1979
Modern theory of nuclear forces journal December 2009
Elastic electron scattering from 3He and 4He journal April 1985
Are occupation numbers observable? journal April 2002
Is a Trineutron Resonance Lower in Energy than a Tetraneutron Resonance? journal June 2017
Chiral two- and three-nucleon forces along medium-mass isotope chains journal June 2014
Nucleon-nucleon potential from an effective chiral Lagrangian journal March 1994
Variational calculations of few-body nuclei journal April 1991
The In-Medium Similarity Renormalization Group: A novel ab initio method for nuclei journal March 2016
Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory journal September 2009
Three-nucleon forces from chiral effective field theory journal December 2002
Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order journal May 2015
Self-consistent Green's functions formalism with three-body interactions journal November 2013
Path integrals in the theory of condensed helium journal April 1995
Accurate nuclear radii and binding energies from a chiral interaction journal May 2015
Quantum Monte Carlo Calculations of Neutron Matter with Nonlocal Chiral Interactions journal June 2014
The deuteron binding energy journal May 1982
Quantum Monte Carlo calculations of neutron matter with chiral three-body forces journal February 2016
Quantum Monte Carlo methods for nuclear physics journal September 2015
Quantifying truncation errors in effective field theory journal August 2015
Precise Measurement of Deuteron Tensor Analyzing Powers with BLAST journal December 2011
Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions journal July 2013
Nuclear sizes and the isotope shift journal December 1997
Reworking the Tucson-Melbourne Three-Nucleon Potential journal April 2001
Review of Particle Physics text January 2008
Review of Particle Physics text January 2018
Review of Particle Physics text January 2012
Local three-nucleon interaction from chiral effective field theory text January 2007
Modern Theory of Nuclear Forces text January 2008
Chiral effective field theory and nuclear forces text January 2011
Real-Space Imaginary-Time Propagators for Non-Local Nucleon-Nucleon Potentials text January 2012
Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions text January 2013
Self-consistent Green's functions formalism with three-body interactions text January 2013
Coupled-cluster computations of atomic nuclei text January 2013
Quantum Monte Carlo calculations of neutron matter with non-local chiral interactions text January 2014
Quantum Monte Carlo Calculations of Light Nuclei Using Chiral Potentials text January 2014
Precision nucleon-nucleon potential at fifth order in the chiral expansion text January 2014
The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei text January 2015
Quantum Monte Carlo calculations of two neutrons in finite volume text January 2016
Is a Trineutron Resonance Lower in Energy than a Tetraneutron Resonance? text January 2016
Reworking the Tucson-Melbourne Three-Nucleon Potential text January 2001
Realistic models of pion-exchange three-nucleon interactions text January 2001
Three-Nucleon Forces from Chiral Effective Field Theory text January 2002
Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory text January 2003
On the correlation between the binding energies of the triton and the alpha-particle text January 2004
Quantum Monte Carlo calculations of neutron-alpha scattering text January 2006
An accurate nucleon-nucleon potential with charge-independence breaking text January 1994
Femtometer Toroidal Structures in Nuclei text January 1996

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Probing the core of the strong nuclear interaction journal February 2020
Exact restoration of Galilei invariance in density functional calculations with quantum Monte Carlo journal January 2020
Nuclear Structure from the In-Medium Similarity Renormalization Group journal June 2018
Few- and many-nucleon systems with semilocal coordinate-space regularized chiral two- and three-body forces journal February 2019
Local Nucleon-Nucleon and Three-Nucleon Interactions Within Chiral Effective Field Theory journal January 2020
Constraining the Speed of Sound inside Neutron Stars with Chiral Effective Field Theory Interactions and Observations journal June 2018
Light-nuclei spectra from chiral dynamics text January 2017
Constraining the speed of sound inside neutron stars with chiral effective field theory interactions and observations text January 2018
Few- and many-nucleon systems with semilocal coordinate-space regularized chiral nucleon-nucleon forces text January 2018
Single- and two-nucleon momentum distributions for local chiral interactions text January 2018
Few- and many-nucleon systems with semilocal coordinate-space regularized chiral two- and three-body forces text January 2018
Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory text January 2020
Probing the core of the strong nuclear interaction text January 2020