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

Abstract

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.

Authors:
 [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)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21); 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)
OSTI Identifier:
1415404
Alternate Identifier(s):
OSTI ID: 1410726
Report Number(s):
LA-UR-17-25004
Journal ID: ISSN 2469-9985; TRN: US1800802
Grant/Contract Number:  
AC52-06NA25396; AC02-05CH11231; FG02-00ER41132; PHY-1430152; PHY-1404405; 307986
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 96; Journal Issue: 5; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Atomic and Nuclear Physics

Citation Formats

Lynn, J. E., Tews, I., Carlson, J., Gandolfi, S., Gezerlis, A., Schmidt, K. E., and Schwenk, A. Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions. United States: N. p., 2017. Web. doi:10.1103/PhysRevC.96.054007.
Lynn, J. E., Tews, I., Carlson, J., Gandolfi, S., Gezerlis, A., Schmidt, K. E., & Schwenk, A. Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions. United States. doi:10.1103/PhysRevC.96.054007.
Lynn, J. E., Tews, I., Carlson, J., Gandolfi, S., Gezerlis, A., Schmidt, K. E., and Schwenk, A. Thu . "Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions". United States. doi:10.1103/PhysRevC.96.054007. https://www.osti.gov/servlets/purl/1415404.
@article{osti_1415404,
title = {Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions},
author = {Lynn, J. E. and Tews, I. and Carlson, J. and Gandolfi, S. and Gezerlis, A. and Schmidt, K. E. and Schwenk, A.},
abstractNote = {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.},
doi = {10.1103/PhysRevC.96.054007},
journal = {Physical Review C},
number = 5,
volume = 96,
place = {United States},
year = {2017},
month = {11}
}

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Cited by: 15 works
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Works referenced in this record:

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

  • Forest, J. L.; Pandharipande, V. R.; Pieper, Steven C.
  • Physical Review C, Vol. 54, Issue 2
  • DOI: 10.1103/PhysRevC.54.646

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

  • Barrett, Bruce R.; Navrátil, Petr; Vary, James P.
  • Progress in Particle and Nuclear Physics, Vol. 69
  • DOI: 10.1016/j.ppnp.2012.10.003

Accurate nucleon-nucleon potential with charge-independence breaking
journal, January 1995

  • Wiringa, R. B.; Stoks, V. G. J.; Schiavilla, R.
  • Physical Review C, Vol. 51, Issue 1
  • DOI: 10.1103/PhysRevC.51.38

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

  • Fujita, Jun-ichi; Miyazawa, Hironari
  • Progress of Theoretical Physics, Vol. 17, Issue 3
  • DOI: 10.1143/PTP.17.360

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

  • Erich, U.; Frank, H.; Haas, D.
  • Zeitschrift für Physik A Hadrons and nuclei, Vol. 209, Issue 2
  • DOI: 10.1007/BF01395278

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

  • Abbott, D.; Ahmidouch, A.; Anklin, H.
  • The European Physical Journal A, Vol. 7, Issue 3
  • DOI: 10.1007/PL00013629

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

  • Hagen, G.; Ekström, A.; Forssén, C.
  • Nature Physics, Vol. 12, Issue 2
  • DOI: 10.1038/nphys3529

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