skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Properties of Nuclei up to A = 16 using Local Chiral Interactions

Abstract

Here, we report accurate quantum Monte Carlo calculations of nuclei up to A = 16 based on local chiral two- and three-nucleon interactions up to next-to-next-to-leading order. We examine the theoretical uncertainties associated with the chiral expansion and the cutoff in the theory, as well as the associated operator choices in the three-nucleon interactions. While in light nuclei the cutoff variation and systematic uncertainties are rather small, in 16O these can be significant for large coordinate-space cutoffs. Overall, we show that chiral interactions constructed to reproduce properties of very light systems and nucleon-nucleon scattering give an excellent description of binding energies, charge radii, and form factors for all these nuclei, including open-shell systems in A = 6 and 12.

Authors:
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [2];  [3];  [4];  [5];  [6]
  1. Michigan State Univ., East Lansing, MI (United States). Facility for Rare Isotope Beams; Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division
  3. Technical Univ. of Darmstadt (Germany). Inst. of Nuclear Physics; GSI Helmholtz Centre for Heavy Ion Research, Darmstadt (Germandy). ExtreMe Matter Inst. (EMMI)
  4. Arizona State Univ., Tempe, AZ (United States). Dept. of Physics
  5. Technical Univ. of Darmstadt (Germany). Inst. of Nuclear Physics; GSI Helmholtz Centre for Heavy Ion Research, Darmstadt (Germandy). ExtreMe Matter Inst. (EMMI); Max-Planck Inst. for Nuclear Physics, Heidelberg (Germany)
  6. Huzhou Univ. (China). School of Science
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); European Research Council (ERC); German Federal Ministry of Education and Research (BMBF); National Science Foundation (NSF); National Natural Science Foundation of China (NNSFC); Technical Univ. of Darmstadt (Germany)
OSTI Identifier:
1432621
Alternate Identifier(s):
OSTI ID: 1427886
Report Number(s):
LA-UR-17-28568
Journal ID: ISSN 0031-9007; PRLTAO; TRN: US1802529
Grant/Contract Number:  
AC52-06NA25396; SC0013617; 307986; 05P15RDFN1; PHY-1404405; 11505056; U1732138; 11605054; AC02- 05CH11231
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 120; Journal Issue: 12; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 97 MATHEMATICS AND COMPUTING; Atomic and Nuclear Physics

Citation Formats

Lonardoni, Diego, Carlson, Joseph, Gandolfi, Stefano, Lynn, J. E., Schmidt, K. E., Schwenk, A., and Wang, X. B. Properties of Nuclei up to A=16 using Local Chiral Interactions. United States: N. p., 2018. Web. doi:10.1103/PhysRevLett.120.122502.
Lonardoni, Diego, Carlson, Joseph, Gandolfi, Stefano, Lynn, J. E., Schmidt, K. E., Schwenk, A., & Wang, X. B. Properties of Nuclei up to A=16 using Local Chiral Interactions. United States. doi:10.1103/PhysRevLett.120.122502.
Lonardoni, Diego, Carlson, Joseph, Gandolfi, Stefano, Lynn, J. E., Schmidt, K. E., Schwenk, A., and Wang, X. B. Thu . "Properties of Nuclei up to A=16 using Local Chiral Interactions". United States. doi:10.1103/PhysRevLett.120.122502. https://www.osti.gov/servlets/purl/1432621.
@article{osti_1432621,
title = {Properties of Nuclei up to A=16 using Local Chiral Interactions},
author = {Lonardoni, Diego and Carlson, Joseph and Gandolfi, Stefano and Lynn, J. E. and Schmidt, K. E. and Schwenk, A. and Wang, X. B.},
abstractNote = {Here, we report accurate quantum Monte Carlo calculations of nuclei up to A = 16 based on local chiral two- and three-nucleon interactions up to next-to-next-to-leading order. We examine the theoretical uncertainties associated with the chiral expansion and the cutoff in the theory, as well as the associated operator choices in the three-nucleon interactions. While in light nuclei the cutoff variation and systematic uncertainties are rather small, in 16O these can be significant for large coordinate-space cutoffs. Overall, we show that chiral interactions constructed to reproduce properties of very light systems and nucleon-nucleon scattering give an excellent description of binding energies, charge radii, and form factors for all these nuclei, including open-shell systems in A = 6 and 12.},
doi = {10.1103/PhysRevLett.120.122502},
journal = {Physical Review Letters},
issn = {0031-9007},
number = 12,
volume = 120,
place = {United States},
year = {2018},
month = {3}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 12 works
Citation information provided by
Web of Science

Figures / Tables:

Table I Table I: Ground-state energies and charge radii for A = 6, 12, and 16 obtained for the N2LO interactions with different cutoffs R0 and different three-body interactions. The first uncertainty listed is statistical while the second is systematic. Experimental results are also shown.

Save / Share:

Works referenced in this record:

Quantum Monte Carlo calculations of nuclei with A <~ 7
journal, October 1997


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

Nuclear Forces and Their Impact on Neutron-Rich Nuclei and Neutron-Rich Matter
journal, October 2015


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


Maximum mass and radius of neutron stars, and the nuclear symmetry energy
journal, March 2012


Local chiral effective field theory interactions and quantum Monte Carlo applications
journal, November 2014


Properties of trapped neutrons interacting with realistic nuclear Hamiltonians
journal, May 2013


From the lightest nuclei to the equation of state of asymmetric nuclear matter with realistic nuclear interactions
journal, December 2014


Medium-Mass Nuclei with Normal-Ordered Chiral N N + 3 N Interactions
journal, July 2012


Elastische Elektronenstreuung an14N,15N,16O und18O bei kleiner Impuls�bertragung
journal, March 1975

  • Sch�tz, Wolfgang
  • Zeitschrift f�r Physik A Atoms and Nuclei, Vol. 273, Issue 1
  • DOI: 10.1007/BF01435760

Light-Nuclei Spectra from Chiral Dynamics
journal, February 2018


Saturation with chiral interactions and consequences for finite nuclei
journal, July 2017


Charge Form Factor and Sum Rules of Electromagnetic Response Functions in C 12
journal, August 2013


Electromagnetic Response of C 12 : A First-Principles Calculation
journal, August 2016


Microscopic Calculation of the Inclusive Electron Scattering Structure Function in O 16
journal, February 2000


Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions
journal, November 2017


Analyzing the Fierz rearrangement freedom for local chiral two-nucleon potentials
journal, November 2017


Local chiral potentials with Δ -intermediate states and the structure of light nuclei
journal, November 2016


Weinberg eigenvalues for chiral nucleon-nucleon interactions
journal, November 2017


Estimates and power counting in uniform nuclear matter with softened interactions
journal, November 2017


Ab initio path to heavy nuclei
journal, September 2014


Coupled-cluster computations of atomic nuclei
journal, September 2014


Precise nuclear radii from electron scattering
journal, October 1982


Evolution of Shell Structure in Neutron-Rich Calcium Isotopes
journal, July 2012


Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including Δ resonances
journal, February 2015


Chiral Three-Nucleon Interactions in Light Nuclei, Neutron- α Scattering, and Neutron Matter
journal, February 2016


A quantum Monte Carlo method for nucleon systems
journal, January 1999


Chiral effective field theory and nuclear forces
journal, June 2011


Ab initio and phenomenological studies of the static response of neutron matter
journal, April 2017


Coupled-cluster theory for three-body Hamiltonians
journal, September 2007


Nuclear Charge Radius of He 8
journal, December 2007


Static Response of Neutron Matter
journal, April 2016


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


Quantum Monte Carlo Method using Phase-Free Random Walks with Slater Determinants
journal, April 2003


Modern theory of nuclear forces
journal, December 2009


Δ isobars and nuclear saturation
journal, February 2018


Cold Neutrons Trapped in External Fields
journal, January 2011


Lattice effective field theory for medium-mass nuclei
journal, May 2014


The In-Medium Similarity Renormalization Group: A novel ab initio method for nuclei
journal, March 2016


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


Generalized Lanczos algorithm for variational quantum Monte Carlo
journal, June 2001


Elastic electron scattering from 12C and 16O
journal, July 1970


Neutron matter at zero temperature with an auxiliary field diffusion Monte Carlo method
journal, August 2003


Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
journal, May 2015


Accurate nuclear radii and binding energies from a chiral interaction
journal, May 2015


Variational calculation of the ground state of closed-shell nuclei up to A = 40
journal, August 2017


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

  • Demorest, P. B.; Pennucci, T.; Ransom, S. M.
  • Nature, Vol. 467, Issue 7319
  • DOI: 10.1038/nature09466

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


Charge radii and ground state structure of lithium isotopes: Experiment and theory reexamined
journal, August 2011


Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions
journal, July 2013


    Works referencing / citing this record:

    Nonperturbative Extraction of the Effective Mass in Neutron Matter
    journal, April 2019


      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.