Quantum Monte Carlo calculations of neutron matter with chiral three-body forces
Abstract
Chiral effective field theory (EFT) enables a systematic description of low-energy hadronic interactions with controlled theoretical uncertainties. For strongly interacting systems, quantum Monte Carlo (QMC) methods provide some of the most accurate solutions, but they require as input local potentials. We have recently constructed local chiral nucleon-nucleon (NN) interactions up to next-to-next-to-leading order (N2LO). Chiral EFT naturally predicts consistent many-body forces. In this paper, we consider the leading chiral three-nucleon (3N) interactions in local form. These are included in auxiliary field diffusion Monte Carlo (AFDMC) simulations. We present results for the equation of state of neutron matter and for the energies and radii of neutron drops. Specifically, we study the regulator dependence at the Hartree-Fock level and in AFDMC and find that present local regulators lead to less repulsion from 3N forces compared to the usual nonlocal regulators.
- Authors:
-
- Technische Univ. Darmstadt, Darmstadt (Germany); GSI Helmholtzzentrum fur Schwerionenforschung GmbH, Darmstadt (Germany)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Univ. of Guelph, Guelph, ON (Canada)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1329890
- Alternate Identifier(s):
- OSTI ID: 1236720
- Report Number(s):
- LA-UR-15-25564
Journal ID: ISSN 2469-9985; PRVCAN
- Grant/Contract Number:
- AC52-06NA25396; AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review C
- Additional Journal Information:
- Journal Volume: 93; Journal Issue: 2; Journal ID: ISSN 2469-9985
- Publisher:
- APS
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; atomic and nuclear physics
Citation Formats
Tews, I., Gandolfi, Stefano, Gezerlis, A., and Schwenk, A. Quantum Monte Carlo calculations of neutron matter with chiral three-body forces. United States: N. p., 2016.
Web. doi:10.1103/PhysRevC.93.024305.
Tews, I., Gandolfi, Stefano, Gezerlis, A., & Schwenk, A. Quantum Monte Carlo calculations of neutron matter with chiral three-body forces. United States. https://doi.org/10.1103/PhysRevC.93.024305
Tews, I., Gandolfi, Stefano, Gezerlis, A., and Schwenk, A. Tue .
"Quantum Monte Carlo calculations of neutron matter with chiral three-body forces". United States. https://doi.org/10.1103/PhysRevC.93.024305. https://www.osti.gov/servlets/purl/1329890.
@article{osti_1329890,
title = {Quantum Monte Carlo calculations of neutron matter with chiral three-body forces},
author = {Tews, I. and Gandolfi, Stefano and Gezerlis, A. and Schwenk, A.},
abstractNote = {Chiral effective field theory (EFT) enables a systematic description of low-energy hadronic interactions with controlled theoretical uncertainties. For strongly interacting systems, quantum Monte Carlo (QMC) methods provide some of the most accurate solutions, but they require as input local potentials. We have recently constructed local chiral nucleon-nucleon (NN) interactions up to next-to-next-to-leading order (N2LO). Chiral EFT naturally predicts consistent many-body forces. In this paper, we consider the leading chiral three-nucleon (3N) interactions in local form. These are included in auxiliary field diffusion Monte Carlo (AFDMC) simulations. We present results for the equation of state of neutron matter and for the energies and radii of neutron drops. Specifically, we study the regulator dependence at the Hartree-Fock level and in AFDMC and find that present local regulators lead to less repulsion from 3N forces compared to the usual nonlocal regulators.},
doi = {10.1103/PhysRevC.93.024305},
journal = {Physical Review C},
number = 2,
volume = 93,
place = {United States},
year = {Tue Feb 02 00:00:00 EST 2016},
month = {Tue Feb 02 00:00:00 EST 2016}
}
Web of Science
Works referenced in this record:
Quantum Monte Carlo approaches to nuclear and atomic physics
journal, January 2012
- Carlson, J.; Gandolfi, Stefano; Gezerlis, Alexandros
- Progress of Theoretical and Experimental Physics, Vol. 2012, Issue 1
Local three-nucleon interaction from chiral effective field theory
journal, November 2007
- Navrátil, P.
- Few-Body Systems, Vol. 41, Issue 3-4
Q UANTUM M ONTE C ARLO C ALCULATIONS OF L IGHT N UCLEI
journal, December 2001
- Pieper, Steven C.; Wiringa, R. B.
- Annual Review of Nuclear and Particle Science, Vol. 51, Issue 1
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
Ab initio study of neutron drops with chiral Hamiltonians
journal, December 2014
- Potter, H. D.; Fischer, S.; Maris, P.
- Physics Letters B, Vol. 739
Chiral effective field theory and nuclear forces
journal, June 2011
- Machleidt, R.; Entem, D. R.
- Physics Reports, Vol. 503, Issue 1
Path integrals in the theory of condensed helium
journal, April 1995
- Ceperley, D. M.
- Reviews of Modern Physics, Vol. 67, Issue 2
Nuclear chiral dynamics and thermodynamics
journal, November 2013
- Holt, Jeremy W.; Kaiser, Norbert; Weise, Wolfram
- Progress in Particle and Nuclear Physics, Vol. 73
Ground-state energy of dilute neutron matter at next-to-leading order in lattice chiral effective field theory
journal, April 2009
- Epelbaum, E.; Krebs, H.; Lee, D.
- The European Physical Journal A, Vol. 40, Issue 2
Modern theory of nuclear forces
journal, December 2009
- Epelbaum, E.; Hammer, H. -W.; Meißner, Ulf-G.
- Reviews of Modern Physics, Vol. 81, Issue 4
Colloquium : Three-body forces: From cold atoms to nuclei
journal, January 2013
- Hammer, Hans-Werner; Nogga, Andreas; Schwenk, Achim
- Reviews of Modern Physics, Vol. 85, Issue 1
Few-nucleon forces from chiral Lagrangians
journal, June 1994
- van Kolck, U.
- Physical Review C, Vol. 49, Issue 6
Three-nucleon forces from chiral effective field theory
journal, December 2002
- Epelbaum, E.; Nogga, A.; Glöckle, W.
- Physical Review C, Vol. 66, Issue 6
Chiral three-nucleon forces and neutron matter
journal, July 2010
- Hebeler, K.; Schwenk, A.
- Physical Review C, Vol. 82, Issue 1
Improved nuclear matter calculations from chiral low-momentum interactions
journal, March 2011
- Hebeler, K.; Bogner, S. K.; Furnstahl, R. J.
- Physical Review C, Vol. 83, Issue 3
Maximum mass and radius of neutron stars, and the nuclear symmetry energy
journal, March 2012
- Gandolfi, S.; Carlson, J.; Reddy, Sanjay
- Physical Review C, Vol. 85, Issue 3
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
Coupled-cluster calculations of nucleonic matter
journal, January 2014
- Hagen, G.; Papenbrock, T.; Ekström, A.
- Physical Review C, Vol. 89, Issue 1
Nuclear thermodynamics from chiral low-momentum interactions
journal, June 2014
- Wellenhofer, Corbinian; Holt, Jeremy W.; Kaiser, Norbert
- Physical Review C, Vol. 89, Issue 6
Correlated density-dependent chiral forces for infinite-matter calculations within the Green's function approach
journal, November 2014
- Carbone, Arianna; Rios, Arnau; Polls, Artur
- Physical Review C, Vol. 90, Issue 5
Toward order-by-order calculations of the nuclear and neutron matter equations of state in chiral effective field theory
journal, May 2015
- Sammarruca, F.; Coraggio, L.; Holt, J. W.
- Physical Review C, Vol. 91, Issue 5
Quantum Monte Carlo calculations of nuclei with
journal, October 1997
- Pudliner, B. S.; Pandharipande, V. R.; Carlson, J.
- Physical Review C, Vol. 56, Issue 4
Quantum Monte Carlo Calculations of Neutron- Scattering
journal, July 2007
- Nollett, Kenneth M.; Pieper, Steven C.; Wiringa, R. B.
- Physical Review Letters, Vol. 99, Issue 2
A quantum Monte Carlo method for nucleon systems
journal, January 1999
- Schmidt, K. E.; Fantoni, S.
- Physics Letters B, Vol. 446, Issue 2
Quantum Monte Carlo methods for nuclear physics
journal, September 2015
- Carlson, J.; Gandolfi, S.; Pederiva, F.
- Reviews of Modern Physics, Vol. 87, Issue 3
Properties of trapped neutrons interacting with realistic nuclear Hamiltonians
journal, May 2013
- Maris, Pieter; Vary, James P.; Gandolfi, S.
- Physical Review C, Vol. 87, Issue 5
Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions
journal, July 2013
- Gezerlis, A.; Tews, I.; Epelbaum, E.
- Physical Review Letters, Vol. 111, Issue 3
Local chiral effective field theory interactions and quantum Monte Carlo applications
journal, November 2014
- Gezerlis, A.; Tews, I.; Epelbaum, E.
- Physical Review C, Vol. 90, Issue 5
Quantum Monte Carlo Calculations of Light Nuclei Using Chiral Potentials
journal, November 2014
- Lynn, J. E.; Carlson, J.; Epelbaum, E.
- Physical Review Letters, Vol. 113, Issue 19
Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including resonances
journal, February 2015
- Piarulli, M.; Girlanda, L.; Schiavilla, R.
- Physical Review C, Vol. 91, Issue 2
Quantum Monte Carlo Calculations of Neutron Matter with Nonlocal Chiral Interactions
journal, June 2014
- Roggero, Alessandro; Mukherjee, Abhishek; Pederiva, Francesco
- Physical Review Letters, Vol. 112, Issue 22
Auxiliary-Field Quantum Monte Carlo Simulations of Neutron Matter in Chiral Effective Field Theory
journal, October 2014
- Wlazłowski, G.; Holt, J. W.; Moroz, S.
- Physical Review Letters, Vol. 113, Issue 18
Comparative study of three-nucleon potentials in nuclear matter
journal, February 2012
- Lovato, Alessandro; Benhar, Omar; Fantoni, Stefano
- Physical Review C, Vol. 85, Issue 2
Realistic models of pion-exchange three-nucleon interactions
journal, June 2001
- Pieper, Steven C.; Pandharipande, V. R.; Wiringa, R. B.
- Physical Review C, Vol. 64, Issue 1
Neutron matter from chiral effective field theory interactions
journal, August 2013
- Krüger, T.; Tews, I.; Hebeler, K.
- Physical Review C, Vol. 88, Issue 2
Neutron matter at zero temperature with an auxiliary field diffusion Monte Carlo method
journal, August 2003
- Sarsa, A.; Fantoni, S.; Schmidt, K. E.
- Physical Review C, Vol. 68, Issue 2
Nonperturbative renormalization of the chiral nucleon-nucleon interaction up to next-to-next-to-leading order
journal, November 2013
- Marji, E.; Canul, A.; MacPherson, Q.
- Physical Review C, Vol. 88, Issue 5
Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order
journal, May 2013
- Ekström, A.; Baardsen, G.; Forssén, C.
- Physical Review Letters, Vol. 110, Issue 19
Testing the density matrix expansion against ab initio calculations of trapped neutron drops
journal, October 2011
- Bogner, S. K.; Furnstahl, R. J.; Hergert, H.
- Physical Review C, Vol. 84, Issue 4
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
Local three-nucleon interaction from chiral effective field theory
text, January 2007
- Navratil, Petr
- arXiv
Modern Theory of Nuclear Forces
text, January 2008
- Epelbaum, Evgeny; Hammer, Hans-Werner; Meißner, Ulf-G.
- arXiv
Chiral effective field theory and nuclear forces
text, January 2011
- Machleidt, R.; Entem, D. R.
- arXiv
Testing the density matrix expansion against ab initio calculations of trapped neutron drops
text, January 2011
- Bogner, S. K.; Furnstahl, R. J.; Hergert, H.
- arXiv
Comparative study of three-nucleon potentials in nuclear matter
text, January 2011
- Lovato, Alessandro; Benhar, Omar; Fantoni, Stefano
- arXiv
Properties of trapped neutrons interacting with realistic nuclear Hamiltonians
text, January 2013
- Maris, Pieter; Vary, James P.; Gandolfi, S.
- arXiv
Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions
text, January 2013
- Gezerlis, A.; Tews, I.; Epelbaum, E.
- arXiv
Neutron matter from chiral effective field theory interactions
text, January 2013
- Krüger, T.; Tews, I.; Hebeler, K.
- arXiv
Quantum Monte Carlo calculations of neutron matter with non-local chiral interactions
text, January 2014
- Roggero, Alessandro; Mukherjee, Abhishek; Pederiva, Francesco
- arXiv
Auxiliary-Field Quantum Monte Carlo Simulations of Neutron Matter in Chiral Effective Field Theory
text, January 2014
- Wlazłowski, G.; Holt, J. W.; Moroz, S.
- arXiv
Ab Initio study of neutron drops with chiral Hamiltonians
text, January 2014
- Potter, H. D.; Fischer, S.; Maris, P.
- arXiv
Quantum Monte Carlo Calculations of Light Nuclei Using Chiral Potentials
text, January 2014
- Lynn, J. E.; Carlson, J.; Epelbaum, E.
- arXiv
Correlated density-dependent chiral forces for infinite matter calculations within the Green's function approach
text, January 2014
- Carbone, Arianna; Rios, Arnau; Polls, Artur
- arXiv
Towards order-by-order calculations of the nuclear and neutron matter equations of state in chiral effective field theory
text, January 2014
- Sammarruca, F.; Coraggio, L.; Holt, J. W.
- arXiv
Realistic models of pion-exchange three-nucleon interactions
text, January 2001
- Pieper, Steven C.; Pandharipande, V. R.; Wiringa, R. B.
- arXiv
Three-Nucleon Forces from Chiral Effective Field Theory
text, January 2002
- Epelbaum, E.; Nogga, A.; Glöckle, W.
- arXiv
Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
text, January 2003
- Entem, D. R.; Machleidt, R.
- arXiv
Quantum Monte Carlo calculations of neutron-alpha scattering
text, January 2006
- Nollett, Kenneth M.; Pieper, Steven C.; Wiringa, R. B.
- arXiv
Works referencing / citing this record:
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
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
Uncertainties in constraining low-energy constants from 3H $ \beta$β decay
journal, August 2017
- Klos, P.; Carbone, A.; Hebeler, K.
- The European Physical Journal A, Vol. 53, Issue 8
Local Nucleon-Nucleon and Three-Nucleon Interactions Within Chiral Effective Field Theory
journal, January 2020
- Piarulli, Maria; Tews, Ingo
- Frontiers in Physics, Vol. 7
From hadrons to quarks in neutron stars: a review
journal, March 2018
- Baym, Gordon; Hatsuda, Tetsuo; Kojo, Toru
- Reports on Progress in Physics, Vol. 81, Issue 5
Strength of tensor forces from neutron drops in ab initio relativistic Brueckner-Hartree-Fock theory
journal, December 2019
- Wang, Sibo; Tong, Hui; Zhao, Pengwei
- Physical Review C, Vol. 100, Issue 6
Constraining the properties of dense matter and neutron stars by combining nuclear physics and gravitational waves from GW170817
conference, January 2019
- Tews, I.; Margueron, J.; Reddy, S.
- XIAMEN-CUSTIPEN WORKSHOP ON THE EQUATION OF STATE OF DENSE NEUTRON-RICH MATTER IN THE ERA OF GRAVITATIONAL WAVE ASTRONOMY, AIP Conference Proceedings
Confronting gravitational-wave observations with modern nuclear physics constraints
journal, June 2019
- Tews, I.; Margueron, J.; Reddy, S.
- The European Physical Journal A, Vol. 55, Issue 6
Neutron matter within QCD sum rules
journal, May 2018
- Cai, Bao-Jun; Chen, Lie-Wen
- Physical Review C, Vol. 97, Issue 5
Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules
journal, August 2019
- Cai, Bao-Jun; Chen, Lie-Wen
- Physical Review C, Vol. 100, Issue 2
Bayesian modeling of the nuclear equation of state for neutron star tidal deformabilities and GW170817
journal, November 2019
- Lim, Y.; Holt, J. W.
- The European Physical Journal A, Vol. 55, Issue 11
Constraining the Speed of Sound inside Neutron Stars with Chiral Effective Field Theory Interactions and Observations
journal, June 2018
- Tews, I.; Carlson, J.; Gandolfi, S.
- The Astrophysical Journal, Vol. 860, Issue 2
Nuclear matter properties from local chiral interactions with $Δ$ isobar intermediate states
text, January 2016
- Logoteta, Domenico; Bombaci, Ignazio; Kievsky, Alejandro
- arXiv
Symmetry Parameter Constraints From A Lower Bound On The Neutron-Matter Energy
text, January 2016
- Tews, Ingo; Lattimer, James M.; Ohnishi, Akira
- arXiv
Perturbation Theory of Nuclear Matter with a Microscopic Effective Interaction
text, January 2017
- Benhar, Omar; Lovato, Alessandro
- arXiv
Light-nuclei spectra from chiral dynamics
text, January 2017
- Piarulli, M.; Baroni, A.; Girlanda, L.
- arXiv
From hadrons to quarks in neutron stars: a review
text, January 2017
- Baym, Gordon; Hatsuda, Tetsuo; Kojo, Toru
- arXiv
Constraining the speed of sound inside neutron stars with chiral effective field theory interactions and observations
text, January 2018
- Tews, Ingo; Carlson, Joseph; Gandolfi, Stefano
- arXiv
Microscopically-based energy density functionals for nuclei using the density matrix expansion: Full optimization and validation
text, January 2018
- Perez, R. Navarro; Schunck, N.; Dyhdalo, A.
- arXiv
Relativistic Brueckner-Hartree-Fock theory for neutron drops
text, January 2018
- Shen, Shihang; Liang, Haozhao; Meng, Jie
- arXiv
Single- and two-nucleon momentum distributions for local chiral interactions
text, January 2018
- Lonardoni, D.; Gandolfi, S.; Wang, X. B.
- arXiv
Few- and many-nucleon systems with semilocal coordinate-space regularized chiral two- and three-body forces
text, January 2018
- Epelbaum, E.; Golak, J.; Hebeler, K.
- arXiv
Non-perturbative Extraction of the Effective Mass in Neutron Matter
text, January 2019
- Buraczynski, Mateusz; Ismail, Nawar; Gezerlis, Alexandros
- arXiv
Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules
text, January 2019
- Cai, Bao-Jun; Chen, Lie-Wen
- arXiv
Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
text, January 2020
- Piarulli, Maria; Tews, Ingo
- arXiv