Perturbative treatment of nonlocal chiral interactions in auxiliary-field diffusion Monte Carlo calculations

Curry, Ryan Michael; Somasundaram, Rahul; Gandolfi, Stefano; Gezerlis, Alexandros; Tews, Ingo

doi:10.1103/PhysRevC.111.015801

Perturbative treatment of nonlocal chiral interactions in auxiliary-field diffusion Monte Carlo calculations

Journal Article · Thu Jan 02 00:00:00 EST 2025 · Physical Review. C

DOI:https://doi.org/10.1103/PhysRevC.111.015801· OSTI ID:3012238

^[1]; ^[2]; ^[3]; ^[4]; ^[3]

Univ. of Guelph, ON (Canada); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Syracuse Univ., NY (United States)
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Univ. of Guelph, ON (Canada)

Nuclear many-body systems, ranging from nuclei to neutron stars, are some of the most interesting physical phenomena in our universe, and quantum Monte Carlo (QMC) approaches are among the most accurate many-body methods currently available to study them. In recent decades, interactions derived from chiral effective field theory (EFT) have been widely adopted in the study of nuclear many-body systems. One drawback of the QMC approach is the requirement that the nuclear interactions need to be local, whereas chiral EFT interactions usually contain nonlocalities. In this work, we leverage the capability of computing second-order perturbative corrections to the ground-state energy in order to develop a self-consistent approach to including nonlocal operators in QMC calculations. In conclusion, we investigate both the deuteron and the neutron-matter equation of state in order to show the robustness of our technique and pave the way for future QMC calculations at higher orders in the EFT, where nonlocal operators cannot be avoided.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: National Science Foundation (NSF); USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF); USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: 89233218CNA000001; AC02-05CH11231; AC52-06NA25396

OSTI ID:: 3012238

Report Number(s):: LA-UR--24-30073; 10.1103/PhysRevC.111.015801

Journal Information:: Physical Review. C, Journal Name: Physical Review. C Journal Issue: 1 Vol. 111; ISSN 2469-9985; ISSN 2469-9993

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (59)

Nuclear forces from chiral lagrangians Weinberg, Steven Physics Letters B, Vol. 251, Issue 2 https://doi.org/10.1016/0370-2693(90)90938-3	journal	November 1990
Phenomenological Lagrangians Weinberg, Steven Physica A: Statistical Mechanics and its Applications, Vol. 96, Issue 1-2 https://doi.org/10.1016/0378-4371(79)90223-1	journal	April 1979
Effective chiral lagrangians for nucleon-pion interactions and nuclear forces Weinberg, Steven Nuclear Physics B, Vol. 363, Issue 1 https://doi.org/10.1016/0550-3213(91)90231-L	journal	September 1991
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
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
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
From low-momentum interactions to nuclear structure Bogner, S. K.; Furnstahl, R. J.; Schwenk, A. Progress in Particle and Nuclear Physics, Vol. 65, Issue 1 https://doi.org/10.1016/j.ppnp.2010.03.001	journal	July 2010
Ab initio no core shell model Barrett, Bruce R.; Navrátil, Petr; Vary, James P. Progress in Particle and Nuclear Physics, Vol. 69 https://doi.org/10.1016/j.ppnp.2012.10.003	journal	March 2013
Towards grounding nuclear physics in QCD Drischler, Christian; Haxton, Wick; McElvain, Kenneth Progress in Particle and Nuclear Physics, Vol. 121 https://doi.org/10.1016/j.ppnp.2021.103888	journal	November 2021
Applications of quantum Monte Carlo methods in condensed systems Kolorenč, Jindřich; Mitas, Lubos Reports on Progress in Physics, Vol. 74, Issue 2 https://doi.org/10.1088/0034-4885/74/2/026502	journal	January 2011
Auxiliary field Quantum Monte Carlo for dilute neutrons on the lattice Curry, Ryan; Dissanayake, Jayani; Gandolfi, Stefano Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 382, Issue 2275 https://doi.org/10.1098/rsta.2023.0127	journal	June 2024
BEC-BCS crossover and universal relations in unitary Fermi gases Gandolfi, S.; Schmidt, K. E.; Carlson, J. Physical Review A, Vol. 83, Issue 4 https://doi.org/10.1103/PhysRevA.83.041601	journal	April 2011
Generalized Lanczos algorithm for variational quantum Monte Carlo Sorella, Sandro Physical Review B, Vol. 64, Issue 2 https://doi.org/10.1103/PhysRevB.64.024512	journal	June 2001
Quantum Monte Carlo with coupled-cluster wave functions Roggero, Alessandro; Mukherjee, Abhishek; Pederiva, Francesco Physical Review B, Vol. 88, Issue 11 https://doi.org/10.1103/PhysRevB.88.115138	journal	September 2013
Local position-space two-nucleon potentials from leading to fourth order of chiral effective field theory Saha, S. K.; Entem, D. R.; Machleidt, R. Physical Review C, Vol. 107, Issue 3 https://doi.org/10.1103/PhysRevC.107.034002	journal	March 2023
Maximally local two-nucleon interactions at N3LO in Δ -less chiral effective field theory Somasundaram, R.; Lynn, J. E.; Huth, L. Physical Review C, Vol. 109, Issue 3 https://doi.org/10.1103/PhysRevC.109.034005	journal	March 2024
Green’s function Monte Carlo study of light nuclei Carlson, J. Physical Review C, Vol. 36, Issue 5 https://doi.org/10.1103/PhysRevC.36.2026	journal	November 1987
Partial-wave analysis of all nucleon-nucleon scattering data below 350 MeV Stoks, V. G. J.; Klomp, R. A. M.; Rentmeester, M. C. M. Physical Review C, Vol. 48, Issue 2 https://doi.org/10.1103/PhysRevC.48.792	journal	August 1993
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
Two-nucleon potential from chiral Lagrangians Ordóñez, C.; Ray, L.; van Kolck, U. Physical Review C, Vol. 53, Issue 5 https://doi.org/10.1103/PhysRevC.53.2086	journal	May 1996
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
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
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
Strongly paired fermions: Cold atoms and neutron matter Gezerlis, Alexandros; Carlson, J. Physical Review C, Vol. 77, Issue 3 https://doi.org/10.1103/PhysRevC.77.032801	journal	March 2008
Quantum Monte Carlo calculation of the equation of state of neutron matter Gandolfi, S.; Illarionov, A. Yu.; Schmidt, K. E. Physical Review C, Vol. 79, Issue 5 https://doi.org/10.1103/PhysRevC.79.054005	journal	May 2009
Low-density neutron matter Gezerlis, Alexandros; Carlson, J. Physical Review C, Vol. 81, Issue 2 https://doi.org/10.1103/PhysRevC.81.025803	journal	February 2010
Real-space imaginary-time propagators for non-local nucleon-nucleon potentials Lynn, J. E.; Schmidt, K. E. Physical Review C, Vol. 86, Issue 1 https://doi.org/10.1103/PhysRevC.86.014324	journal	July 2012
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
From the lightest nuclei to the equation of state of asymmetric nuclear matter with realistic nuclear interactions Gandolfi, S.; Lovato, A.; Carlson, J. Physical Review C, Vol. 90, Issue 6 https://doi.org/10.1103/PhysRevC.90.061306	journal	December 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 chiral three-body forces Tews, I.; Gandolfi, S.; Gezerlis, A. Physical Review C, Vol. 93, Issue 2 https://doi.org/10.1103/PhysRevC.93.024305	journal	February 2016
Local chiral potentials with Δ -intermediate states and the structure of light nuclei Piarulli, M.; Girlanda, L.; Schiavilla, R. Physical Review C, Vol. 94, Issue 5 https://doi.org/10.1103/PhysRevC.94.054007	journal	November 2016
Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions Lynn, J. E.; Tews, I.; Carlson, J. Physical Review C, Vol. 96, Issue 5 https://doi.org/10.1103/PhysRevC.96.054007	journal	November 2017
Auxiliary field diffusion Monte Carlo calculations of light and medium-mass nuclei with local chiral interactions Lonardoni, D.; Gandolfi, S.; Lynn, J. E. Physical Review C, Vol. 97, Issue 4 https://doi.org/10.1103/PhysRevC.97.044318	journal	April 2018
Shell-model coupled-cluster method for open-shell nuclei Sun, Z. H.; Morris, T. D.; Hagen, G. Physical Review C, Vol. 98, Issue 5 https://doi.org/10.1103/PhysRevC.98.054320	journal	November 2018
Medium-Mass Nuclei from Chiral Nucleon-Nucleon Interactions Hagen, G.; Papenbrock, T.; Dean, D. J. Physical Review Letters, Vol. 101, Issue 9 https://doi.org/10.1103/PhysRevLett.101.092502	journal	August 2008
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
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
Chiral Three-Nucleon Interactions in Light Nuclei, Neutron- α Scattering, and Neutron Matter Lynn, J. E.; Tews, I.; Carlson, J. Physical Review Letters, Vol. 116, Issue 6 https://doi.org/10.1103/PhysRevLett.116.062501	journal	February 2016
Properties of Nuclei up to A = 16 using Local Chiral Interactions Lonardoni, D.; Carlson, J.; Gandolfi, S. Physical Review Letters, Vol. 120, Issue 12 https://doi.org/10.1103/PhysRevLett.120.122502	journal	March 2018
How Well Do We Know the Neutron-Matter Equation of State at the Densities Inside Neutron Stars? A Bayesian Approach with Correlated Uncertainties Drischler, C.; Furnstahl, R. J.; Melendez, J. A. Physical Review Letters, Vol. 125, Issue 20 https://doi.org/10.1103/PhysRevLett.125.202702	journal	November 2020
Ab Initio Limits of Atomic Nuclei Stroberg, S. R.; Holt, J. D.; Schwenk, A. Physical Review Letters, Vol. 126, Issue 2 https://doi.org/10.1103/PhysRevLett.126.022501	journal	January 2021
Perturbative Quantum Monte Carlo Method for Nuclear Physics Lu, Bing-Nan; Li, Ning; Elhatisari, Serdar Physical Review Letters, Vol. 128, Issue 24 https://doi.org/10.1103/PhysRevLett.128.242501	journal	June 2022
Nucleon-nucleon potential from an effective chiral Lagrangian Ordóñez, C.; Ray, L.; van Kolck, U. Physical Review Letters, Vol. 72, Issue 13 https://doi.org/10.1103/PhysRevLett.72.1982	journal	March 1994
Nuclear and neutron-star matter from local chiral interactions Lonardoni, D.; Tews, I.; Gandolfi, S. Physical Review Research, Vol. 2, Issue 2 https://doi.org/10.1103/PhysRevResearch.2.022033	journal	May 2020
Second-order perturbation theory in continuum quantum Monte Carlo calculations Curry, Ryan; Lynn, Joel E.; Schmidt, Kevin E. Physical Review Research, Vol. 5, Issue 4 https://doi.org/10.1103/PhysRevResearch.5.L042021	journal	November 2023
Variations on a theme of nuclear matter Pandharipande, V. R.; Wiringa, R. B. Reviews of Modern Physics, Vol. 51, Issue 4 https://doi.org/10.1103/RevModPhys.51.821	journal	October 1979
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
Quantum Monte Carlo simulations of solids Foulkes, W. M. C.; Mitas, L.; Needs, R. J. Reviews of Modern Physics, Vol. 73, Issue 1 https://doi.org/10.1103/RevModPhys.73.33	journal	January 2001
Theory of ultracold atomic Fermi gases Giorgini, Stefano; Pitaevskii, Lev P.; Stringari, Sandro Reviews of Modern Physics, Vol. 80, Issue 4 https://doi.org/10.1103/RevModPhys.80.1215	journal	October 2008
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
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
Improving the convergence of the chiral expansion for nuclear forces - I: Peripheral phases Epelbaum, E.; Glöckle, W.; Meißner, U. -G. The European Physical Journal A, Vol. 19, Issue 1 https://doi.org/10.1140/epja/i2003-10096-0	journal	January 2004
Quantum Monte Carlo Methods in Nuclear Physics: Recent Advances Lynn, J. E.; Tews, I.; Gandolfi, S. Annual Review of Nuclear and Particle Science, Vol. 69, Issue 1 https://doi.org/10.1146/annurev-nucl-101918-023600	journal	October 2019
Recent Progress in the Electroweak Structure of Light Nuclei Using Quantum Monte Carlo Methods King, Garrett B.; Pastore, Saori Annual Review of Nuclear and Particle Science, Vol. 74, Issue 1 https://doi.org/10.1146/annurev-nucl-101920-021401	journal	September 2024
Neutron Matter from Low to High Density Gandolfi, Stefano; Gezerlis, Alexandros; Carlson, J. Annual Review of Nuclear and Particle Science, Vol. 65, Issue 1 https://doi.org/10.1146/annurev-nucl-102014-021957	journal	October 2015
Theory of Nuclear Matter Bethe, H. A. Annual Review of Nuclear Science, Vol. 21, Issue 1 https://doi.org/10.1146/annurev.ns.21.120171.000521	journal	December 1971
Effective Field Theory Georgi, H. Annual Review of Nuclear and Particle Science, Vol. 43, Issue 1 https://doi.org/10.1146/annurev.ns.43.120193.001233	journal	December 1993
The 1S0 Pairing Gap in Neutron Matter Gandolfi, Stefano; Palkanoglou, Georgios; Carlson, Joseph Condensed Matter, Vol. 7, Issue 1 https://doi.org/10.3390/condmat7010019	journal	February 2022

Similar Records

Quantum Monte Carlo Methods in Nuclear Physics: Recent Advances

Journal Article · Mon Aug 05 20:00:00 EDT 2019 · Annual Review of Nuclear and Particle Science · OSTI ID:1571969

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

Journal Article · Mon Feb 01 19:00:00 EST 2016 · Physical Review C · OSTI ID:1329890

Neutron matter with Quantum Monte Carlo: chiral 3N forces and static response

Journal Article · Sun Mar 13 20:00:00 EDT 2016 · Journal of Physics. Conference Series · OSTI ID:1291221

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Effective field theory
Nuclear astrophysics
Nuclear forces
Nuclear many-body theory
Nucleon-nucleon interactions

Perturbative treatment of nonlocal chiral interactions in auxiliary-field diffusion Monte Carlo calculations

Citation Formats

References (59)

Similar Records

Related Subjects