Quantum Monte Carlo calculations of neutron matter with chiral three-body forces

Tews, I.; Gandolfi, Stefano; Gezerlis, A.; Schwenk, A.

doi:10.1103/PhysRevC.93.024305

Title: Quantum Monte Carlo calculations of neutron matter with chiral three-body forces

Journal Article · Tue Feb 02 00:00:00 EST 2016 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.93.024305· OSTI ID:1329890

Tews, I. ^[1]; Gandolfi, Stefano ^[2]; Gezerlis, A. ^[3]; Schwenk, A. ^[1]

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)

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.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-06NA25396; AC02-05CH11231

OSTI ID:: 1329890

Alternate ID(s):: OSTI ID: 1236720

Report Number(s):: LA-UR-15-25564; PRVCAN

Journal Information:: Physical Review C, Vol. 93, Issue 2; ISSN 2469-9985

Publisher:: APSCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 119 works

Citation information provided by
Web of Science

References (59)

Quantum Monte Carlo approaches to nuclear and atomic physics Carlson, J.; Gandolfi, Stefano; Gezerlis, Alexandros Progress of Theoretical and Experimental Physics, Vol. 2012, Issue 1 https://doi.org/10.1093/ptep/pts031	journal	January 2012
Local three-nucleon interaction from chiral effective field theory Navrátil, P. Few-Body Systems, Vol. 41, Issue 3-4 https://doi.org/10.1007/s00601-007-0193-3	journal	November 2007
Q UANTUM M ONTE C ARLO C ALCULATIONS OF L IGHT N UCLEI Pieper, Steven C.; Wiringa, R. B. Annual Review of Nuclear and Particle Science, Vol. 51, Issue 1 https://doi.org/10.1146/annurev.nucl.51.101701.132506	journal	December 2001
The two-nucleon system at next-to-next-to-next-to-leading order Epelbaum, E.; Glöckle, W.; Meißner, Ulf-G. Nuclear Physics A, Vol. 747, Issue 2-4 https://doi.org/10.1016/j.nuclphysa.2004.09.107	journal	January 2005
Ab initio study of neutron drops with chiral Hamiltonians Potter, H. D.; Fischer, S.; Maris, P. Physics Letters B, Vol. 739 https://doi.org/10.1016/j.physletb.2014.10.020	journal	December 2014
Chiral effective field theory and nuclear forces Machleidt, R.; Entem, D. R. Physics Reports, Vol. 503, Issue 1 https://doi.org/10.1016/j.physrep.2011.02.001	journal	June 2011
Path integrals in the theory of condensed helium Ceperley, D. M. Reviews of Modern Physics, Vol. 67, Issue 2 https://doi.org/10.1103/revmodphys.67.279	journal	April 1995
Nuclear chiral dynamics and thermodynamics Holt, Jeremy W.; Kaiser, Norbert; Weise, Wolfram Progress in Particle and Nuclear Physics, Vol. 73 https://doi.org/10.1016/j.ppnp.2013.08.001	journal	November 2013
Ground-state energy of dilute neutron matter at next-to-leading order in lattice chiral effective field theory Epelbaum, E.; Krebs, H.; Lee, D. The European Physical Journal A, Vol. 40, Issue 2 https://doi.org/10.1140/epja/i2009-10755-0	journal	April 2009
Modern theory of nuclear forces Epelbaum, E.; Hammer, H. -W.; Meißner, Ulf-G. Reviews of Modern Physics, Vol. 81, Issue 4 https://doi.org/10.1103/RevModPhys.81.1773	journal	December 2009
Colloquium : Three-body forces: From cold atoms to nuclei Hammer, Hans-Werner; Nogga, Andreas; Schwenk, Achim Reviews of Modern Physics, Vol. 85, Issue 1 https://doi.org/10.1103/RevModPhys.85.197	journal	January 2013
Few-nucleon forces from chiral Lagrangians van Kolck, U. Physical Review C, Vol. 49, Issue 6 https://doi.org/10.1103/PhysRevC.49.2932	journal	June 1994
Three-nucleon forces from chiral effective field theory Epelbaum, E.; Nogga, A.; Glöckle, W. Physical Review C, Vol. 66, Issue 6 https://doi.org/10.1103/PhysRevC.66.064001	journal	December 2002
Chiral three-nucleon forces and neutron matter Hebeler, K.; Schwenk, A. Physical Review C, Vol. 82, Issue 1 https://doi.org/10.1103/PhysRevC.82.014314	journal	July 2010
Improved nuclear matter calculations from chiral low-momentum interactions Hebeler, K.; Bogner, S. K.; Furnstahl, R. J. Physical Review C, Vol. 83, Issue 3 https://doi.org/10.1103/PhysRevC.83.031301	journal	March 2011
Maximum mass and radius of neutron stars, and the nuclear symmetry energy Gandolfi, S.; Carlson, J.; Reddy, Sanjay Physical Review C, Vol. 85, Issue 3 https://doi.org/10.1103/PhysRevC.85.032801	journal	March 2012
Neutron Matter at Next-to-Next-to-Next-to-Leading Order in Chiral Effective Field Theory Tews, I.; Krüger, T.; Hebeler, K. Physical Review Letters, Vol. 110, Issue 3 https://doi.org/10.1103/PhysRevLett.110.032504	journal	January 2013
Coupled-cluster calculations of nucleonic matter Hagen, G.; Papenbrock, T.; Ekström, A. Physical Review C, Vol. 89, Issue 1 https://doi.org/10.1103/PhysRevC.89.014319	journal	January 2014
Nuclear thermodynamics from chiral low-momentum interactions Wellenhofer, Corbinian; Holt, Jeremy W.; Kaiser, Norbert Physical Review C, Vol. 89, Issue 6 https://doi.org/10.1103/PhysRevC.89.064009	journal	June 2014
Correlated density-dependent chiral forces for infinite-matter calculations within the Green's function approach Carbone, Arianna; Rios, Arnau; Polls, Artur Physical Review C, Vol. 90, Issue 5 https://doi.org/10.1103/PhysRevC.90.054322	journal	November 2014
Toward order-by-order calculations of the nuclear and neutron matter equations of state in chiral effective field theory Sammarruca, F.; Coraggio, L.; Holt, J. W. Physical Review C, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevC.91.054311	journal	May 2015
Quantum Monte Carlo calculations of nuclei with $A <~ 7$ Pudliner, B. S.; Pandharipande, V. R.; Carlson, J. Physical Review C, Vol. 56, Issue 4 https://doi.org/10.1103/PhysRevC.56.1720	journal	October 1997
Quantum Monte Carlo Calculations of Neutron- $α$ Scattering Nollett, Kenneth M.; Pieper, Steven C.; Wiringa, R. B. Physical Review Letters, Vol. 99, Issue 2 https://doi.org/10.1103/PhysRevLett.99.022502	journal	July 2007
A quantum Monte Carlo method for nucleon systems Schmidt, K. E.; Fantoni, S. Physics Letters B, Vol. 446, Issue 2 https://doi.org/10.1016/S0370-2693(98)01522-6	journal	January 1999
Quantum Monte Carlo methods for nuclear physics Carlson, J.; Gandolfi, S.; Pederiva, F. Reviews of Modern Physics, Vol. 87, Issue 3 https://doi.org/10.1103/RevModPhys.87.1067	journal	September 2015
Properties of trapped neutrons interacting with realistic nuclear Hamiltonians Maris, Pieter; Vary, James P.; Gandolfi, S. Physical Review C, Vol. 87, Issue 5 https://doi.org/10.1103/PhysRevC.87.054318	journal	May 2013
Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions Gezerlis, A.; Tews, I.; Epelbaum, E. Physical Review Letters, Vol. 111, Issue 3 https://doi.org/10.1103/PhysRevLett.111.032501	journal	July 2013
Local chiral effective field theory interactions and quantum Monte Carlo applications Gezerlis, A.; Tews, I.; Epelbaum, E. Physical Review C, Vol. 90, Issue 5 https://doi.org/10.1103/PhysRevC.90.054323	journal	November 2014
Quantum Monte Carlo Calculations of Light Nuclei Using Chiral Potentials Lynn, J. E.; Carlson, J.; Epelbaum, E. Physical Review Letters, Vol. 113, Issue 19 https://doi.org/10.1103/PhysRevLett.113.192501	journal	November 2014
Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including $Δ$ resonances Piarulli, M.; Girlanda, L.; Schiavilla, R. Physical Review C, Vol. 91, Issue 2 https://doi.org/10.1103/PhysRevC.91.024003	journal	February 2015
Quantum Monte Carlo Calculations of Neutron Matter with Nonlocal Chiral Interactions Roggero, Alessandro; Mukherjee, Abhishek; Pederiva, Francesco Physical Review Letters, Vol. 112, Issue 22 https://doi.org/10.1103/PhysRevLett.112.221103	journal	June 2014
Auxiliary-Field Quantum Monte Carlo Simulations of Neutron Matter in Chiral Effective Field Theory Wlazłowski, G.; Holt, J. W.; Moroz, S. Physical Review Letters, Vol. 113, Issue 18 https://doi.org/10.1103/PhysRevLett.113.182503	journal	October 2014
Comparative study of three-nucleon potentials in nuclear matter Lovato, Alessandro; Benhar, Omar; Fantoni, Stefano Physical Review C, Vol. 85, Issue 2 https://doi.org/10.1103/PhysRevC.85.024003	journal	February 2012
Realistic models of pion-exchange three-nucleon interactions Pieper, Steven C.; Pandharipande, V. R.; Wiringa, R. B. Physical Review C, Vol. 64, Issue 1 https://doi.org/10.1103/PhysRevC.64.014001	journal	June 2001
Neutron matter from chiral effective field theory interactions Krüger, T.; Tews, I.; Hebeler, K. Physical Review C, Vol. 88, Issue 2 https://doi.org/10.1103/PhysRevC.88.025802	journal	August 2013
Neutron matter at zero temperature with an auxiliary field diffusion Monte Carlo method Sarsa, A.; Fantoni, S.; Schmidt, K. E. Physical Review C, Vol. 68, Issue 2 https://doi.org/10.1103/PhysRevC.68.024308	journal	August 2003
Nonperturbative renormalization of the chiral nucleon-nucleon interaction up to next-to-next-to-leading order Marji, E.; Canul, A.; MacPherson, Q. Physical Review C, Vol. 88, Issue 5 https://doi.org/10.1103/PhysRevC.88.054002	journal	November 2013
Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order Ekström, A.; Baardsen, G.; Forssén, C. Physical Review Letters, Vol. 110, Issue 19 https://doi.org/10.1103/PhysRevLett.110.192502	journal	May 2013
Testing the density matrix expansion against ab initio calculations of trapped neutron drops Bogner, S. K.; Furnstahl, R. J.; Hergert, H. Physical Review C, Vol. 84, Issue 4 https://doi.org/10.1103/PhysRevC.84.044306	journal	October 2011
Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory Entem, D. R.; Machleidt, R. Physical Review C, Vol. 68, Issue 4 https://doi.org/10.1103/PhysRevC.68.041001	journal	October 2003
Local three-nucleon interaction from chiral effective field theory Navratil, Petr arXiv https://doi.org/10.48550/arxiv.0707.4680	text	January 2007
Modern Theory of Nuclear Forces Epelbaum, Evgeny; Hammer, Hans-Werner; Meißner, Ulf-G. arXiv https://doi.org/10.48550/arxiv.0811.1338	text	January 2008
Chiral three-nucleon forces and neutron matter Hebeler, K.; Schwenk, A. arXiv https://doi.org/10.48550/arxiv.0911.0483	text	January 2009
Chiral effective field theory and nuclear forces Machleidt, R.; Entem, D. R. arXiv https://doi.org/10.48550/arxiv.1105.2919	text	January 2011
Testing the density matrix expansion against ab initio calculations of trapped neutron drops Bogner, S. K.; Furnstahl, R. J.; Hergert, H. arXiv https://doi.org/10.48550/arxiv.1106.3557	text	January 2011
Comparative study of three-nucleon potentials in nuclear matter Lovato, Alessandro; Benhar, Omar; Fantoni, Stefano arXiv https://doi.org/10.48550/arxiv.1109.5489	text	January 2011
Properties of trapped neutrons interacting with realistic nuclear Hamiltonians Maris, Pieter; Vary, James P.; Gandolfi, S. arXiv https://doi.org/10.48550/arxiv.1302.2089	text	January 2013
Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions Gezerlis, A.; Tews, I.; Epelbaum, E. arXiv https://doi.org/10.48550/arxiv.1303.6243	text	January 2013
Neutron matter from chiral effective field theory interactions Krüger, T.; Tews, I.; Hebeler, K. arXiv https://doi.org/10.48550/arxiv.1304.2212	text	January 2013
Quantum Monte Carlo calculations of neutron matter with non-local chiral interactions Roggero, Alessandro; Mukherjee, Abhishek; Pederiva, Francesco arXiv https://doi.org/10.48550/arxiv.1402.1576	text	January 2014
Auxiliary-Field Quantum Monte Carlo Simulations of Neutron Matter in Chiral Effective Field Theory Wlazłowski, G.; Holt, J. W.; Moroz, S. arXiv https://doi.org/10.48550/arxiv.1403.3753	text	January 2014
Ab Initio study of neutron drops with chiral Hamiltonians Potter, H. D.; Fischer, S.; Maris, P. arXiv https://doi.org/10.48550/arxiv.1406.1160	text	January 2014
Quantum Monte Carlo Calculations of Light Nuclei Using Chiral Potentials Lynn, J. E.; Carlson, J.; Epelbaum, E. arXiv https://doi.org/10.48550/arxiv.1406.2787	text	January 2014
Correlated density-dependent chiral forces for infinite matter calculations within the Green's function approach Carbone, Arianna; Rios, Arnau; Polls, Artur arXiv https://doi.org/10.48550/arxiv.1408.0717	text	January 2014
Towards order-by-order calculations of the nuclear and neutron matter equations of state in chiral effective field theory Sammarruca, F.; Coraggio, L.; Holt, J. W. arXiv https://doi.org/10.48550/arxiv.1411.0136	text	January 2014
Realistic models of pion-exchange three-nucleon interactions Pieper, Steven C.; Pandharipande, V. R.; Wiringa, R. B. arXiv https://doi.org/10.48550/arxiv.nucl-th/0102004	text	January 2001
Three-Nucleon Forces from Chiral Effective Field Theory Epelbaum, E.; Nogga, A.; Glöckle, W. arXiv https://doi.org/10.48550/arxiv.nucl-th/0208023	text	January 2002
Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory Entem, D. R.; Machleidt, R. arXiv https://doi.org/10.48550/arxiv.nucl-th/0304018	text	January 2003
Quantum Monte Carlo calculations of neutron-alpha scattering Nollett, Kenneth M.; Pieper, Steven C.; Wiringa, R. B. arXiv https://doi.org/10.48550/arxiv.nucl-th/0612035	text	January 2006

Cited By (25)

Symmetry Parameter Constraints from a Lower Bound on Neutron-matter Energy Tews, Ingo; Lattimer, James M.; Ohnishi, Akira The Astrophysical Journal, Vol. 848, Issue 2 https://doi.org/10.3847/1538-4357/aa8db9	journal	October 2017
The radius of the canonical-mass neutron star and chiral effective field theory Sammarruca, F.; Millerson, Randy Journal of Physics G: Nuclear and Particle Physics, Vol. 46, Issue 2 https://doi.org/10.1088/1361-6471/aafbcd	journal	January 2019
Uncertainties in constraining low-energy constants from 3H $ \beta$β decay Klos, P.; Carbone, A.; Hebeler, K. The European Physical Journal A, Vol. 53, Issue 8 https://doi.org/10.1140/epja/i2017-12357-7	journal	August 2017
Local Nucleon-Nucleon and Three-Nucleon Interactions Within Chiral Effective Field Theory Piarulli, Maria; Tews, Ingo Frontiers in Physics, Vol. 7 https://doi.org/10.3389/fphy.2019.00245	journal	January 2020
From hadrons to quarks in neutron stars: a review Baym, Gordon; Hatsuda, Tetsuo; Kojo, Toru Reports on Progress in Physics, Vol. 81, Issue 5 https://doi.org/10.1088/1361-6633/aaae14	journal	March 2018
Strength of tensor forces from neutron drops in ab initio relativistic Brueckner-Hartree-Fock theory Wang, Sibo; Tong, Hui; Zhao, Pengwei Physical Review C, Vol. 100, Issue 6 https://doi.org/10.1103/physrevc.100.064319	journal	December 2019
Constraining the properties of dense matter and neutron stars by combining nuclear physics and gravitational waves from GW170817 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 https://doi.org/10.1063/1.5117799	conference	January 2019
Confronting gravitational-wave observations with modern nuclear physics constraints Tews, I.; Margueron, J.; Reddy, S. The European Physical Journal A, Vol. 55, Issue 6 https://doi.org/10.1140/epja/i2019-12774-6	journal	June 2019
Neutron matter within QCD sum rules Cai, Bao-Jun; Chen, Lie-Wen Physical Review C, Vol. 97, Issue 5 https://doi.org/10.1103/physrevc.97.054322	journal	May 2018
Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules Cai, Bao-Jun; Chen, Lie-Wen Physical Review C, Vol. 100, Issue 2 https://doi.org/10.1103/physrevc.100.024303	journal	August 2019
Bayesian modeling of the nuclear equation of state for neutron star tidal deformabilities and GW170817 Lim, Y.; Holt, J. W. The European Physical Journal A, Vol. 55, Issue 11 https://doi.org/10.1140/epja/i2019-12917-9	journal	November 2019
Constraining the Speed of Sound inside Neutron Stars with Chiral Effective Field Theory Interactions and Observations Tews, I.; Carlson, J.; Gandolfi, S. The Astrophysical Journal, Vol. 860, Issue 2 https://doi.org/10.3847/1538-4357/aac267	journal	June 2018
Nuclear matter properties from local chiral interactions with $Δ$ isobar intermediate states Logoteta, Domenico; Bombaci, Ignazio; Kievsky, Alejandro arXiv https://doi.org/10.48550/arxiv.1609.00649	text	January 2016
Symmetry Parameter Constraints From A Lower Bound On The Neutron-Matter Energy Tews, Ingo; Lattimer, James M.; Ohnishi, Akira arXiv https://doi.org/10.48550/arxiv.1611.07133	text	January 2016
Perturbation Theory of Nuclear Matter with a Microscopic Effective Interaction Benhar, Omar; Lovato, Alessandro arXiv https://doi.org/10.48550/arxiv.1706.00760	text	January 2017
Light-nuclei spectra from chiral dynamics Piarulli, M.; Baroni, A.; Girlanda, L. arXiv https://doi.org/10.48550/arxiv.1707.02883	text	January 2017
From hadrons to quarks in neutron stars: a review Baym, Gordon; Hatsuda, Tetsuo; Kojo, Toru arXiv https://doi.org/10.48550/arxiv.1707.04966	text	January 2017
Constraining the speed of sound inside neutron stars with chiral effective field theory interactions and observations Tews, Ingo; Carlson, Joseph; Gandolfi, Stefano arXiv https://doi.org/10.48550/arxiv.1801.01923	text	January 2018
Microscopically-based energy density functionals for nuclei using the density matrix expansion: Full optimization and validation Perez, R. Navarro; Schunck, N.; Dyhdalo, A. arXiv https://doi.org/10.48550/arxiv.1801.08615	text	January 2018
Relativistic Brueckner-Hartree-Fock theory for neutron drops Shen, Shihang; Liang, Haozhao; Meng, Jie arXiv https://doi.org/10.48550/arxiv.1802.08108	text	January 2018
Single- and two-nucleon momentum distributions for local chiral interactions Lonardoni, D.; Gandolfi, S.; Wang, X. B. arXiv https://doi.org/10.48550/arxiv.1804.08027	text	January 2018
Few- and many-nucleon systems with semilocal coordinate-space regularized chiral two- and three-body forces Epelbaum, E.; Golak, J.; Hebeler, K. arXiv https://doi.org/10.48550/arxiv.1807.02848	text	January 2018
Non-perturbative Extraction of the Effective Mass in Neutron Matter Buraczynski, Mateusz; Ismail, Nawar; Gezerlis, Alexandros arXiv https://doi.org/10.48550/arxiv.1901.00870	text	January 2019
Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules Cai, Bao-Jun; Chen, Lie-Wen arXiv https://doi.org/10.48550/arxiv.1903.10430	text	January 2019
Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory Piarulli, Maria; Tews, Ingo arXiv https://doi.org/10.48550/arxiv.2002.00032	text	January 2020

Similar Records

Local chiral EFT potentials in nuclei and neutron matter: results and issues

Journal Article · Fri Feb 28 00:00:00 EST 2020 · PoS - Proceedings of Science · OSTI ID:1329890

Lonardoni, Diego; Tews, Ingo

Quantum Monte Carlo calculations of nuclei with local chiral interactions [Slides]

Technical Report · Tue Feb 23 00:00:00 EST 2021 · OSTI ID:1329890

Lonardoni, Diego

Quantum Monte Carlo Methods in Nuclear Physics: Recent Advances

Journal Article · Tue Aug 06 00:00:00 EDT 2019 · Annual Review of Nuclear and Particle Science · OSTI ID:1329890

Lynn, Joel E.; Tews, I.; Gandolfi, S.; +1 more

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
atomic and nuclear physics

Title: Quantum Monte Carlo calculations of neutron matter with chiral three-body forces

Citation Formats

References (59)

Cited By (25)

Similar Records

Related Subjects