Analysis of the neutron matter equation of state and the symmetry energy up to fourth order of chiral effective field theory
Abstract
We present predictions for the neutron matter equation of state, from leading to fourth order of chiral effective field theory, using recently developed, accurate chiral nucleon-nucleon potentials. For the many-body method, we employ the nonperturbative particle-particle ladder approximation, that is, we solve the G-matrix equation. Furthermore, we find the impact of subleading three-neutron forces to be mild and attractive. We also show order-by-order predictions for the symmetry energy, and discuss its density dependence in relation to empirical constraints. For the nuclear matter equation of state, in this work we adopt an empirical parametrization with good saturation properties. This is to highlight, specifically, the energy and pressure in neutron matter, particularly when comparing with empirical constraints.
- Publication Date:
- Research Org.:
- Univ. of Idaho, Moscow, ID (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1820909
- Grant/Contract Number:
- FG02-03ER41270
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review C
- Additional Journal Information:
- Journal Volume: 104; Journal Issue: 3; Journal ID: ISSN 2469-9985
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Nuclear many-body theory; Nuclear matter; Nuclear matter in neutron stars
Citation Formats
Sammarruca, Francesca, and Millerson, Randy. Analysis of the neutron matter equation of state and the symmetry energy up to fourth order of chiral effective field theory. United States: N. p., 2021.
Web. doi:10.1103/physrevc.104.034308.
Sammarruca, Francesca, & Millerson, Randy. Analysis of the neutron matter equation of state and the symmetry energy up to fourth order of chiral effective field theory. United States. https://doi.org/10.1103/physrevc.104.034308
Sammarruca, Francesca, and Millerson, Randy. Fri .
"Analysis of the neutron matter equation of state and the symmetry energy up to fourth order of chiral effective field theory". United States. https://doi.org/10.1103/physrevc.104.034308. https://www.osti.gov/servlets/purl/1820909.
@article{osti_1820909,
title = {Analysis of the neutron matter equation of state and the symmetry energy up to fourth order of chiral effective field theory},
author = {Sammarruca, Francesca and Millerson, Randy},
abstractNote = {We present predictions for the neutron matter equation of state, from leading to fourth order of chiral effective field theory, using recently developed, accurate chiral nucleon-nucleon potentials. For the many-body method, we employ the nonperturbative particle-particle ladder approximation, that is, we solve the G-matrix equation. Furthermore, we find the impact of subleading three-neutron forces to be mild and attractive. We also show order-by-order predictions for the symmetry energy, and discuss its density dependence in relation to empirical constraints. For the nuclear matter equation of state, in this work we adopt an empirical parametrization with good saturation properties. This is to highlight, specifically, the energy and pressure in neutron matter, particularly when comparing with empirical constraints.},
doi = {10.1103/physrevc.104.034308},
journal = {Physical Review C},
number = 3,
volume = 104,
place = {United States},
year = {Fri Sep 10 00:00:00 EDT 2021},
month = {Fri Sep 10 00:00:00 EDT 2021}
}
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Works referenced in this record:
Structure of the Lightest Tin Isotopes
journal, April 2018
- Morris, T. D.; Simonis, J.; Stroberg, S. R.
- Physical Review Letters, Vol. 120, Issue 15
Matching Pion-Nucleon Roy-Steiner Equations to Chiral Perturbation Theory
journal, November 2015
- Hoferichter, Martin; Ruiz de Elvira, Jacobo; Kubis, Bastian
- Physical Review Letters, Vol. 115, Issue 19
Complete Electric Dipole Response and the Neutron Skin in
journal, August 2011
- Tamii, A.; Poltoratska, I.; von Neumann-Cosel, P.
- Physical Review Letters, Vol. 107, Issue 6
Symmetry energy from elliptic flow in 197Au+197Au
journal, March 2011
- Russotto, P.; Wu, P. Z.; Zoric, M.
- Physics Letters B, Vol. 697, Issue 5
A Massive Pulsar in a Compact Relativistic Binary
journal, April 2013
- Antoniadis, J.; Freire, P. C. C.; Wex, N.
- Science, Vol. 340, Issue 6131
Reducible chiral four-body interactions in nuclear matter
journal, January 2016
- Kaiser, N.; Milkus, R.
- The European Physical Journal A, Vol. 52, Issue 1
GW170817: Measurements of Neutron Star Radii and Equation of State
journal, October 2018
- Abbott, B. P.; Abbott, R.; Abbott, T. D.
- Physical Review Letters, Vol. 121, Issue 16
Symmetry Parameter Constraints from a Lower Bound on Neutron-matter Energy
journal, October 2017
- Tews, Ingo; Lattimer, James M.; Ohnishi, Akira
- The Astrophysical Journal, Vol. 848, Issue 2
Results of the ASY-EOS experiment at GSI: The symmetry energy at suprasaturation density
journal, September 2016
- Russotto, P.; Gannon, S.; Kupny, S.
- Physical Review C, Vol. 94, Issue 3
New Finite-Range Droplet Mass Model and Equation-of-State Parameters
journal, January 2012
- Möller, Peter; Myers, William D.; Sagawa, Hiroyuki
- Physical Review Letters, Vol. 108, Issue 5
Efficient calculation of chiral three-nucleon forces up to for ab initio studies
journal, April 2015
- Hebeler, K.; Krebs, H.; Epelbaum, E.
- Physical Review C, Vol. 91, Issue 4
Neutron Radii in Nuclei and the Neutron Equation of State
journal, December 2000
- Alex Brown, B.
- Physical Review Letters, Vol. 85, Issue 25
Density-dependent interaction from subleading chiral forces: Short-range terms and relativistic corrections
journal, November 2018
- Kaiser, N.; Niessner, V.
- Physical Review C, Vol. 98, Issue 5
Nuclear ground-state masses and deformations: FRDM(2012)
journal, May 2016
- Möller, P.; Sierk, A. J.; Ichikawa, T.
- Atomic Data and Nuclear Data Tables, Vol. 109-110
Saturation with chiral interactions and consequences for finite nuclei
journal, July 2017
- Simonis, J.; Stroberg, S. R.; Hebeler, K.
- Physical Review C, Vol. 96, Issue 1
Neutron-rich matter in heaven and on Earth
journal, July 2019
- Piekarewicz, Jorge; Fattoyev, Farrukh J.
- Physics Today, Vol. 72, Issue 7
Family of chiral two- plus three-nucleon interactions for accurate nuclear structure studies
journal, September 2020
- Hüther, Thomas; Vobig, Klaus; Hebeler, Kai
- Physics Letters B, Vol. 808
Weinberg eigenvalues for chiral nucleon-nucleon interactions
journal, November 2017
- Hoppe, J.; Drischler, C.; Furnstahl, R. J.
- Physical Review C, Vol. 96, Issue 5
Electric dipole polarizability in as a probe of the symmetry energy and neutron matter around
journal, September 2015
- Zhang, Zhen; Chen, Lie-Wen
- Physical Review C, Vol. 92, Issue 3
Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory
journal, October 2003
- Entem, D. R.; Machleidt, R.
- Physical Review C, Vol. 68, Issue 4
Density-dependent NN interaction from subleading chiral three-nucleon forces: Long-range terms
journal, July 2019
- Kaiser, N.; Singh, B.
- Physical Review C, Vol. 100, Issue 1
Relativistic effective interaction for nuclei, giant resonances, and neutron stars
journal, November 2010
- Fattoyev, F. J.; Horowitz, C. J.; Piekarewicz, J.
- Physical Review C, Vol. 82, Issue 5
Correlations between the nuclear matter symmetry energy, its slope, and curvature
journal, July 2015
- Santos, B. M.; Dutra, M.; Lourenço, O.
- Journal of Physics: Conference Series, Vol. 630
Effective chiral lagrangians for nucleon-pion interactions and nuclear forces
journal, September 1991
- Weinberg, Steven
- Nuclear Physics B, Vol. 363, Issue 1
The nuclear symmetry energy
journal, November 2016
- Baldo, M.; Burgio, G. F.
- Progress in Particle and Nuclear Physics, Vol. 91
Neutron Matter at Next-to-Next-to-Next-to-Leading Order in Chiral Effective Field Theory
journal, January 2013
- Tews, I.; Krüger, T.; Hebeler, K.
- Physical Review Letters, Vol. 110, Issue 3
Constraining the nonanalytic terms in the isospin-asymmetry expansion of the nuclear equation of state
journal, June 2021
- Wen, Pengsheng; Holt, Jeremy W.
- Physical Review C, Vol. 103, Issue 6
Density dependence of the nuclear symmetry energy: A microscopic perspective
journal, October 2009
- Vidaña, Isaac; Providência, Constança; Polls, Artur
- Physical Review C, Vol. 80, Issue 4
Comparing symmetry energy predictions and recent constraints from the ASY-EOS experiment at GSI
journal, April 2017
- Sammarruca, Francesca
- Physical Review C, Vol. 95, Issue 4
How Well Do We Know the Neutron-Matter Equation of State at the Densities Inside Neutron Stars? A Bayesian Approach with Correlated Uncertainties
journal, November 2020
- Drischler, C.; Furnstahl, R. J.; Melendez, J. A.
- Physical Review Letters, Vol. 125, Issue 20
The P2 experiment: A future high-precision measurement of the weak mixing angle at low momentum transfer
journal, November 2018
- Becker, Dominik; Bucoveanu, Razvan; Grzesik, Carsten
- The European Physical Journal A, Vol. 54, Issue 11
The two-nucleon system at next-to-next-to-next-to-leading order
journal, January 2005
- Epelbaum, E.; Glöckle, W.; Meißner, Ulf-G.
- Nuclear Physics A, Vol. 747, Issue 2-4
Neutron Skin of , Nuclear Symmetry Energy, and the Parity Radius Experiment
journal, June 2011
- Roca-Maza, X.; Centelles, M.; Viñas, X.
- Physical Review Letters, Vol. 106, Issue 25
Constraints on the Density Dependence of the Symmetry Energy
journal, March 2009
- Tsang, M. B.; Zhang, Yingxun; Danielewicz, P.
- Physical Review Letters, Vol. 102, Issue 12
Three-body interactions among nucleons and pions
journal, November 1992
- Weinberg, Steven
- Physics Letters B, Vol. 295, Issue 1-2
GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
journal, October 2017
- Abbott, B. P.; Abbott, R.; Abbott, T. D.
- Physical Review Letters, Vol. 119, Issue 16
Core-crust transition in neutron stars: Predictivity of density developments
journal, April 2011
- Ducoin, Camille; Margueron, Jérôme; Providência, Constança
- Physical Review C, Vol. 83, Issue 4
Quartic isospin asymmetry energy of nuclear matter from chiral pion-nucleon dynamics
journal, June 2015
- Kaiser, N.
- Physical Review C, Vol. 91, Issue 6
Constraints on the symmetry energy and neutron skins from experiments and theory
journal, July 2012
- Tsang, M. B.; Stone, J. R.; Camera, F.
- Physical Review C, Vol. 86, Issue 1
Nuclear forces from chiral lagrangians
journal, November 1990
- Weinberg, Steven
- Physics Letters B, Vol. 251, Issue 2
Roy–Steiner-equation analysis of pion–nucleon scattering
journal, April 2016
- Hoferichter, Martin; Ruiz de Elvira, Jacobo; Kubis, Bastian
- Physics Reports, Vol. 625
Chiral three-nucleon forces and neutron matter
journal, July 2010
- Hebeler, K.; Schwenk, A.
- Physical Review C, Vol. 82, Issue 1
Exploring the relationship between nuclear matter and finite nuclei with chiral two- and three-nucleon forces
journal, September 2020
- Sammarruca, Francesca; Millerson, Randy
- Physical Review C, Vol. 102, Issue 3
Divergence of the isospin-asymmetry expansion of the nuclear equation of state in many-body perturbation theory
journal, May 2016
- Wellenhofer, Corbinian; Holt, Jeremy W.; Kaiser, Norbert
- Physical Review C, Vol. 93, Issue 5
Constraining the density dependence of the symmetry energy from nuclear masses
journal, May 2013
- Agrawal, B. K.; De, J. N.; Samaddar, S. K.
- Physical Review C, Vol. 87, Issue 5
Energy per particle of nuclear and neutron matter from subleading chiral three-nucleon interactions
journal, May 2021
- Kaiser, N.
- Physical Review C, Vol. 103, Issue 5
The Symmetry Energy of the Nuclear EoS: A Study of Collective Motion and Low-Energy Reaction Dynamics in Semiclassical Approaches
journal, April 2019
- Burrello, Stefano; Colonna, Maria; Zheng, Hua
- Frontiers in Physics, Vol. 7
Neutron drip line and the equation of state of nuclear matter
journal, August 2010
- Oyamatsu, Kazuhiro; Iida, Kei; Koura, Hiroyuki
- Physical Review C, Vol. 82, Issue 2
Subleading contributions to the chiral three-nucleon force. II. Short-range terms and relativistic corrections
journal, November 2011
- Bernard, V.; Epelbaum, E.; Krebs, H.
- Physical Review C, Vol. 84, Issue 5
Microscopic calculations and energy expansions for neutron-rich matter
journal, February 2014
- Drischler, C.; Somà, V.; Schwenk, A.
- Physical Review C, Vol. 89, Issue 2
Probing chiral interactions up to next-to-next-to-next-to-leading order in medium-mass nuclei
journal, August 2019
- Hoppe, J.; Drischler, C.; Hebeler, K.
- Physical Review C, Vol. 100, Issue 2
Constraints on the Skyrme Equations of State from Properties of Doubly Magic Nuclei
journal, December 2013
- Brown, B. Alex
- Physical Review Letters, Vol. 111, Issue 23
Neutrino Emission from Cooper Pairs and Minimal Cooling of Neutron Stars
journal, December 2009
- Page, Dany; Lattimer, James M.; Prakash, Madappa
- The Astrophysical Journal, Vol. 707, Issue 2
Nuclear energy density optimization
journal, August 2010
- Kortelainen, M.; Lesinski, T.; Moré, J.
- Physical Review C, Vol. 82, Issue 2
Symmetry energy II: Isobaric analog states
journal, February 2014
- Danielewicz, Pawel; Lee, Jenny
- Nuclear Physics A, Vol. 922
Chiral Interactions up to Next-to-Next-to-Next-to-Leading Order and Nuclear Saturation
journal, January 2019
- Drischler, C.; Hebeler, K.; Schwenk, A.
- Physical Review Letters, Vol. 122, Issue 4
Three-nucleon forces from chiral effective field theory
journal, December 2002
- Epelbaum, E.; Nogga, A.; Glöckle, W.
- Physical Review C, Vol. 66, Issue 6
Subleading contributions to the chiral three-nucleon force: Long-range terms
journal, June 2008
- Bernard, V.; Epelbaum, E.; Krebs, H.
- Physical Review C, Vol. 77, Issue 6
Improving the convergence of the chiral expansion for nuclear forces - II: Low phases and the deuteron
journal, March 2004
- Epelbaum, E.; Glöckle, W.; Meißner, U. -G.
- The European Physical Journal A, Vol. 19, Issue 3
The radius of the canonical-mass neutron star and chiral effective field theory
journal, January 2019
- Sammarruca, F.; Millerson, Randy
- Journal of Physics G: Nuclear and Particle Physics, Vol. 46, Issue 2
Implications of PREX-2 on the Equation of State of Neutron-Rich Matter
journal, April 2021
- Reed, Brendan T.; Fattoyev, F. J.; Horowitz, C. J.
- Physical Review Letters, Vol. 126, Issue 17
Accurate Determination of the Neutron Skin Thickness of through Parity-Violation in Electron Scattering
journal, April 2021
- Adhikari, D.; Albataineh, H.; Androic, D.
- Physical Review Letters, Vol. 126, Issue 17
Fragmentation of a Filamentary Cloud Permeated by a Perpendicular Magnetic Field
journal, October 2017
- Hanawa, Tomoyuki; Kudoh, Takahiro; Tomisaka, Kohji
- The Astrophysical Journal, Vol. 848, Issue 1
Equation of state of nucleon matter and neutron star structure
journal, September 1998
- Akmal, A.; Pandharipande, V. R.; Ravenhall, D. G.
- Physical Review C, Vol. 58, Issue 3
Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
journal, May 2015
- Epelbaum, E.; Krebs, H.; Meißner, U. -G.
- The European Physical Journal A, Vol. 51, Issue 5
Self-consistent Green's functions formalism with three-body interactions
journal, November 2013
- Carbone, Arianna; Cipollone, Andrea; Barbieri, Carlo
- Physical Review C, Vol. 88, Issue 5
Chiral four-body interactions in nuclear matter
journal, October 2012
- Kaiser, N.
- The European Physical Journal A, Vol. 48, Issue 10
Correlations between the nuclear matter symmetry energy, its slope, and curvature from a nonrelativistic solvable approach and beyond
journal, September 2014
- Santos, B. M.; Dutra, M.; Lourenço, O.
- Physical Review C, Vol. 90, Issue 3
Constraining the Symmetry Parameters of the Nuclear Interaction
journal, June 2013
- Lattimer, James M.; Lim, Yeunhwan
- The Astrophysical Journal, Vol. 771, Issue 1
Determining the Density Content of Symmetry Energy and Neutron Skin: An Empirical Approach
journal, December 2012
- Agrawal, B. K.; De, J. N.; Samaddar, S. K.
- Physical Review Letters, Vol. 109, Issue 26
Relativistic Brueckner-Hartree-Fock theory in nuclear matter without the average momentum approximation
journal, November 2018
- Tong, Hui; Ren, Xiu-Lei; Ring, Peter
- Physical Review C, Vol. 98, Issue 5
Neutron matter from chiral two- and three-nucleon calculations up to
journal, November 2016
- Drischler, C.; Carbone, A.; Hebeler, K.
- Physical Review C, Vol. 94, Issue 5
Universal correlations in the nuclear symmetry energy, slope parameter, and curvature
journal, September 2018
- Holt, Jeremy W.; Lim, Yeunhwan
- Physics Letters B, Vol. 784
New parametrization for the Lagrangian density of relativistic mean field theory
journal, January 1997
- Lalazissis, G. A.; König, J.; Ring, P.
- Physical Review C, Vol. 55, Issue 1
Density-dependent effective nucleon-nucleon interaction from chiral three-nucleon forces
journal, February 2010
- Holt, J. W.; Kaiser, N.; Weise, W.
- Physical Review C, Vol. 81, Issue 2
Neutron skin thickness from the measured electric dipole polarizability in , , and
journal, December 2015
- Roca-Maza, X.; Viñas, X.; Centelles, M.
- Physical Review C, Vol. 92, Issue 6
Reexamining the relation between the binding energy of finite nuclei and the equation of state of infinite nuclear matter
journal, October 2020
- Atkinson, M. C.; Dickhoff, W. H.; Piarulli, M.
- Physical Review C, Vol. 102, Issue 4
High-quality two-nucleon potentials up to fifth order of the chiral expansion
journal, August 2017
- Entem, D. R.; Machleidt, R.; Nosyk, Y.
- Physical Review C, Vol. 96, Issue 2
Chiral three-nucleon interaction and the -dating decay
journal, May 2009
- Holt, J. W.; Kaiser, N.; Weise, W.
- Physical Review C, Vol. 79, Issue 5