Search Menu
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information
Search Scholarly Publications

Title: Δ isobars and nuclear saturation

Journal Article · · Physical Review C
 [1];  [2];  [2];  [2];  [2]
  1. Chalmers Univ. of Technology, Göteborg (Sweden). Dept. of Physics
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Physics Division; Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy
+ Show Author Affiliations

In this paper, we construct a nuclear interaction in chiral effective field theory with explicit inclusion of the $$\mathrm{{\Delta}}$$-isobar $$\mathrm{{\Delta}}(1232)$$ degree of freedom at all orders up to next-to-next-to-leading order (NNLO). We use pion-nucleon ($${\pi}N$$) low-energy constants (LECs) from a Roy-Steiner analysis of $${\pi}N$$ scattering data, optimize the LECs in the contact potentials up to NNLO to reproduce low-energy nucleon-nucleon scattering phase shifts, and constrain the three-nucleon interaction at NNLO to reproduce the binding energy and point-proton radius of $$^{4}\mathrm{He}$$. For heavier nuclei we use the coupled-cluster method to compute binding energies, radii, and neutron skins. We find that radii and binding energies are much improved for interactions with explicit inclusion of $$\mathrm{{\Delta}}(1232)$$, while $$\mathrm{{\Delta}}$$-less interactions produce nuclei that are not bound with respect to breakup into $${\alpha}$$ particles. Finally, the saturation of nuclear matter is significantly improved, and its symmetry energy is consistent with empirical estimates.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Univ. of Tennessee, Knoxville, TN (United States); Chalmers Univ. of Technology, Göteborg (Sweden)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP); Swedish Research Council (SRC); European Union (EU)
Grant/Contract Number:
AC05-00OR22725; FG02-96ER40963; SC0008499; SC0018223; 2015-00225; 600398
OSTI ID:
1474706
Alternate ID(s):
OSTI ID: 1422656
Journal Information:
Physical Review C, Vol. 97, Issue 2; 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 (105)

Regulator artifacts in uniform matter for chiral interactions journal September 2016
Density functionals in the laboratory frame journal January 2008
Ab initio no core shell model journal March 2013
Improving upon CCSD(T): ΛCCSD(T). I. Potential energy surfaces journal January 2008
Nucleon-nucleon interaction in the J -matrix inverse scattering approach and few-nucleon systems journal October 2004
Extension of coupled-cluster theory with a noniterative treatment of connected triply excited clusters to three-body Hamiltonians journal November 2013
Renormalization of chiral two-pion exchange NN interactions with Δ excitations: Central phases and the deuteron journal April 2009
Improved nuclear matter calculations from chiral low-momentum interactions journal March 2011
Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order journal May 2013
Pion Theory of Three-Body Forces journal March 1957
Low-energy chiral two-pion exchange potential with statistical uncertainties journal May 2015
Symmetry Parameter Constraints from a Lower Bound on Neutron-matter Energy journal October 2017
Solution of the Center-Of-Mass Problem in Nuclear Structure Calculations journal August 2009
Medium-Mass Nuclei with Normal-Ordered Chiral N N + 3 N Interactions journal July 2012
Ab initio coupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions journal September 2010
Few-nucleon systems with state-of-the-art chiral nucleon-nucleon forces journal April 2016
Quantum Monte Carlo calculation of the equation of state of neutron matter journal May 2009
Light-Nuclei Spectra from Chiral Dynamics journal February 2018
Few-nucleon forces from chiral Lagrangians journal June 1994
Precision Nucleon-Nucleon Potential at Fifth Order in the Chiral Expansion journal September 2015
Saturation with chiral interactions and consequences for finite nuclei journal July 2017
Two-nucleon potential from chiral Lagrangians journal May 1996
Δ-excitations and the three-nucleon force journal June 2008
Many-fermion theory in expS- (or coupled cluster) form journal February 1978
Recent developments in no-core shell-model calculations journal May 2009
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
Magnus expansion and in-medium similarity renormalization group journal September 2015
Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory journal October 2003
Q UANTUM M ONTE C ARLO C ALCULATIONS OF L IGHT N UCLEI journal December 2001
Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory journal January 2015
Ab initio path to heavy nuclei journal September 2014
Coupled-cluster computations of atomic nuclei journal September 2014
Table of experimental nuclear ground state charge radii: An update journal January 2013
Coupled-cluster theory in quantum chemistry journal February 2007
Peripheral NN-scattering: role of delta-excitation, correlated two-pion and vector meson exchange journal July 1998
Nuclear matter properties from local chiral interactions with Δ isobar intermediate states journal December 2016
The two-nucleon system at next-to-next-to-next-to-leading order journal January 2005
Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including Δ resonances journal February 2015
Benchmark test calculation of a four-nucleon bound state journal August 2001
Coupled-cluster calculations of nucleonic matter journal January 2014
Chiral Three-Nucleon Interactions in Light Nuclei, Neutron- α Scattering, and Neutron Matter journal February 2016
Constraints on the symmetry energy and neutron skins from experiments and theory journal July 2012
Chiral effective field theory and nuclear forces journal June 2011
Renormalization of chiral two-pion exchange NN interactions with Δ excitations: Correlations in the partial-wave expansion journal April 2011
Roy–Steiner-equation analysis of pion–nucleon scattering journal April 2016
Coupled-cluster theory for three-body Hamiltonians journal September 2007
Few-nucleon systems in a translationally invariant harmonic oscillator basis journal March 2000
Neutron and weak-charge distributions of the 48Ca nucleus journal November 2015
Statistical uncertainties of a chiral interaction at next-to-next-to leading order journal February 2015
No-core shell model in an effective-field-theory framework journal September 2007
Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system journal May 2000
Aspects of chiral pion-nucleon physics journal April 1997
Nuclear Binding Near a Quantum Phase Transition journal September 2016
Modern theory of nuclear forces journal December 2009
Ground-state properties of 4 He and 16 O extrapolated from lattice QCD with pionless EFT journal September 2017
Lattice effective field theory for medium-mass nuclei journal May 2014
Nucleon-nucleon potential from an effective chiral Lagrangian journal March 1994
Heavy baryon chiral perturbation theory with light deltas journal October 1998
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
Heavy-particle formalism with Foldy-Wouthuysen representation journal April 2011
Electric Dipole Polarizability of Ca 48 and Implications for the Neutron Skin journal June 2017
Δ effects in pion-nucleon scattering and the strength of the two-pion-exchange three-nucleon interaction journal June 2005
Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order journal May 2015
Structure of Ni 78 from First-Principles Computations journal October 2016
The Ame2012 atomic mass evaluation journal December 2012
Accurate nuclear radii and binding energies from a chiral interaction journal May 2015
Reconciling threshold and subthreshold expansions for pion–nucleon scattering journal July 2017
Spherical coupled-cluster theory for open-shell nuclei journal August 2013
An overview of coupled cluster theory and its applications in physics journal January 1991
Coarse-grained potential analysis of neutron-proton and proton-proton scattering below the pion production threshold journal December 2013
Uncertainty Analysis and Order-by-Order Optimization of Chiral Nuclear Interactions journal February 2016
Quantifying truncation errors in effective field theory journal August 2015
Nuclear forces with Δ excitations up to next-to-next-to-leading order, part I: Peripheral nucleon-nucleon waves journal May 2007
The Ame2012 atomic mass evaluation journal December 2012
Roy–Steiner-equation analysis of pion–nucleon scattering journal January 2017
Reconciling threshold and subthreshold expansions for pion–nucleon scattering text January 2017
Coupled-cluster theory for three-body Hamiltonians text January 2007
Modern Theory of Nuclear Forces text January 2008
Quantum Monte Carlo calculation of the equation of state of neutron matter text January 2009
Recent developments in no-core shell-model calculations text January 2009
Ab initio coupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions text January 2010
Chiral effective field theory and nuclear forces text January 2011
Extension of coupled-cluster theory with a non-iterative treatment of connected triply excited clusters to three-body Hamiltonians text January 2013
Lattice Effective Field Theory for Medium-Mass Nuclei text January 2013
Coupled-cluster computations of atomic nuclei text January 2013
Statistical uncertainties of a chiral interaction at next-to-next-to leading order text January 2014
Precision nucleon-nucleon potential at fifth order in the chiral expansion text January 2014
Few-nucleon systems with state-of-the-art chiral nucleon-nucleon forces text January 2015
Roy-Steiner-equation analysis of pion-nucleon scattering text January 2015
The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei text January 2015
Nuclear binding near a quantum phase transition text January 2016
Nuclear matter properties from local chiral interactions with $Δ$ isobar intermediate states text January 2016
Symmetry Parameter Constraints From A Lower Bound On The Neutron-Matter Energy text January 2016
Ground-State Properties of $^{4}$He and $^{16}$O Extrapolated from Lattice QCD with Pionless EFT text January 2017
Light-nuclei spectra from chiral dynamics text January 2017
Heavy Baryon Chiral Perturbation Theory with Light Deltas text January 1997
Benchmark Test Calculation of a Four-Nucleon Bound State 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
Nucleon-nucleon interaction in the $J$-matrix inverse scattering approach and few-nucleon systems text January 2003
Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves text January 2007
Peripheral NN-Scattering: Role of Delta-Excitation, Correlated Two-Pion and Vector Meson Exchange text January 1998
Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system text January 1999

Cited By (8)

Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules journal August 2019
Few- and many-nucleon systems with semilocal coordinate-space regularized chiral two- and three-body forces journal February 2019
Investigations of the few-nucleon systems within the LENPIC project journal January 2020
Chiral interactions up to next-to-next-to-next-to-leading order and nuclear saturation text January 2017
Few- and many-nucleon systems with semilocal coordinate-space regularized chiral nucleon-nucleon forces text January 2018
Few- and many-nucleon systems with semilocal coordinate-space regularized chiral two- and three-body forces text January 2018
Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules text January 2019
Global sensitivity analysis of bulk properties of an atomic nucleus text January 2019

Figures / Tables (13)

FIG. 1(p. 2)figure FIG. 1
TABLE I(p. 4)table TABLE I
TABLE II(p. 4)table TABLE II
FIG. 2(p. 5)figure FIG. 2
TABLE III(p. 5)table TABLE III
FIG. 3(p. 6)figure FIG. 3
TABLE IV(p. 6)table TABLE IV
FIG. 4(p. 7)figure FIG. 4
FIG. 5(p. 8)figure FIG. 5
FIG. 6(p. 8)figure FIG. 6
TABLE V(p. 8)table TABLE V
FIG. 7(p. 10)figure FIG. 7
FIG. 8(p. 11)figure FIG. 8

Similar Records

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
effective field theory
equations of state of nuclear matter
nuclear binding
nuclear charge distribution
nuclear forces
nuclear matter
symmetry energy
baryons