skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Ab initio and phenomenological studies of the static response of neutron matter

Abstract

We investigate the problem of periodically modulated strongly interacting neutron matter. We carry out ab initio nonperturbative auxiliary-field diffusion Monte Carlo calculations using an external sinusoidal potential in addition to phenomenological two- and three-nucleon interactions. Several choices for the wave function ansatz are explored and special care is taken to extrapolate finite-sized results to the thermodynamic limit. We perform calculations at various densities as well as at different strengths and periodicities of the one-body potential. Our microscopic results are then used to constrain the isovector term from energy-density functional theories of nuclei at many different densities, while making sure to separate isovector contributions from bulk properties. Lastly, we use our results to extract the static density-density linear response function of neutron matter at different densities. Our findings provide insights into inhomogeneous neutron matter and are related to the physics of neutron-star crusts and neutron-rich nuclei.

Authors:
 [1];  [1]
  1. Univ. of Guelph, ON (Canada). Dept. of Physics
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory-National Energy Research Scientific Computing Center
Sponsoring Org.:
USDOE
OSTI Identifier:
1523845
Resource Type:
Journal Article
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 95; Journal Issue: 4; Journal ID: ISSN 2469-9985
Country of Publication:
United States
Language:
English

Citation Formats

Buraczynski, Mateusz, and Gezerlis, Alexandros. Ab initio and phenomenological studies of the static response of neutron matter. United States: N. p., 2017. Web. doi:10.1103/PhysRevC.95.044309.
Buraczynski, Mateusz, & Gezerlis, Alexandros. Ab initio and phenomenological studies of the static response of neutron matter. United States. doi:10.1103/PhysRevC.95.044309.
Buraczynski, Mateusz, and Gezerlis, Alexandros. Sat . "Ab initio and phenomenological studies of the static response of neutron matter". United States. doi:10.1103/PhysRevC.95.044309.
@article{osti_1523845,
title = {Ab initio and phenomenological studies of the static response of neutron matter},
author = {Buraczynski, Mateusz and Gezerlis, Alexandros},
abstractNote = {We investigate the problem of periodically modulated strongly interacting neutron matter. We carry out ab initio nonperturbative auxiliary-field diffusion Monte Carlo calculations using an external sinusoidal potential in addition to phenomenological two- and three-nucleon interactions. Several choices for the wave function ansatz are explored and special care is taken to extrapolate finite-sized results to the thermodynamic limit. We perform calculations at various densities as well as at different strengths and periodicities of the one-body potential. Our microscopic results are then used to constrain the isovector term from energy-density functional theories of nuclei at many different densities, while making sure to separate isovector contributions from bulk properties. Lastly, we use our results to extract the static density-density linear response function of neutron matter at different densities. Our findings provide insights into inhomogeneous neutron matter and are related to the physics of neutron-star crusts and neutron-rich nuclei.},
doi = {10.1103/PhysRevC.95.044309},
journal = {Physical Review C},
issn = {2469-9985},
number = 4,
volume = 95,
place = {United States},
year = {2017},
month = {4}
}

Works referenced in this record:

Linear response theory and neutrino mean free path using Brussels-Montreal Skyrme functionals
journal, August 2014


Quantum Monte Carlo calculations of nuclei with A <~ 7
journal, October 1997


Isovector properties of the Gogny interaction
journal, November 2014


Dynamics of the inner crust of neutron stars: Hydrodynamics, elasticity, and collective modes
journal, May 2013


Maximum mass and radius of neutron stars, and the nuclear symmetry energy
journal, March 2012


Local chiral effective field theory interactions and quantum Monte Carlo applications
journal, November 2014


Properties of trapped neutrons interacting with realistic nuclear Hamiltonians
journal, May 2013


Linear response theory in asymmetric nuclear matter for Skyrme functionals including spin-orbit and tensor terms
journal, April 2014


Correlated density-dependent chiral forces for infinite-matter calculations within the Green's function approach
journal, November 2014


Effects of nucleon-nucleon interactions on scattering of neutrinos in neutron matter
journal, January 1982


Quantum Monte Carlo calculation of the equation of state of neutron matter
journal, May 2009


Static response of Fermi liquids with tensor interactions
journal, August 2004


Evolution of Nuclear Spectra with Nuclear Forces
journal, October 2002


Neutron Radii in Nuclei and the Neutron Equation of State
journal, December 2000


Auxiliary-Field Quantum Monte Carlo Simulations of Neutron Matter in Chiral Effective Field Theory
journal, October 2014


Neutron Matter from Low to High Density
journal, October 2015


From dilute matter to the equilibrium point in the energy-density-functional theory
journal, September 2016


Effect of three-body forces on response functions in infinite neutron matter
journal, January 2015


Relativistic effective interaction for nuclei, giant resonances, and neutron stars
journal, November 2010


Resummation of in-medium ladder diagrams: s-wave effective range and p-wave interaction
journal, October 2012


Isovector part of nuclear energy density functional from chiral two- and three-nucleon forces
journal, March 2012


Neutron Drops and Skyrme Energy-Density Functionals
journal, April 1996


Neutron Matter at Next-to-Next-to-Next-to-Leading Order in Chiral Effective Field Theory
journal, January 2013


Neutron polaron as a constraint on nuclear density functionals
journal, April 2014


Radii of neutron drops probed via the neutron skin thickness of nuclei
journal, October 2016


Resonant Fermi Gases with a Large Effective Range
journal, October 2005


Ab initio study of neutron drops with chiral Hamiltonians
journal, December 2014


Low-density neutron matter
journal, February 2010


Microscopically constrained mean-field models from chiral nuclear thermodynamics
journal, June 2016


Coupled-cluster calculations of nucleonic matter
journal, January 2014


A quantum Monte Carlo method for nucleon systems
journal, January 1999


Auxiliary field diffusion Monte Carlo calculation of ground state properties of neutron drops
journal, September 2004


Chiral three-nucleon forces and neutron matter
journal, July 2010


Static Response of Neutron Matter
journal, April 2016


Linear response of homogeneous nuclear matter with energy density functionals
journal, March 2015


Strongly paired fermions: Cold atoms and neutron matter
journal, March 2008


Towards a universal nuclear density functional
journal, August 1998

  • Fayans, S. A.
  • Journal of Experimental and Theoretical Physics Letters, Vol. 68, Issue 3
  • DOI: 10.1134/1.567841

Quantum Monte Carlo calculations of neutron matter
journal, August 2003


Cold Neutrons Trapped in External Fields
journal, January 2011


Generic constraints on the relativistic mean-field and Skyrme-Hartree-Fock models from the pure neutron matter equation of state
journal, August 2012


Nuclear energy density functional from chiral two-nucleon aaand three-nucleon interactions
journal, October 2011


Self-consistent mean-field models for nuclear structure
journal, January 2003

  • Bender, Michael; Heenen, Paul-Henri; Reinhard, Paul-Gerhard
  • Reviews of Modern Physics, Vol. 75, Issue 1
  • DOI: 10.1103/RevModPhys.75.121

Static response from quantum Monte Carlo calculations
journal, September 1992


Equation of state of nucleon matter and neutron star structure
journal, September 1998


Hot and cold, nuclear and neutron matter
journal, May 1981


Towards a new Gogny force parameterization: Impact of the neutron matter equation of state
journal, October 2008


Further explorations of Skyrme–Hartree–Fock–Bogoliubov mass formulas. IX: Constraint of pairing force to 1S0 neutron-matter gap
journal, November 2008


Comparative study of neutron and nuclear matter with simplified Argonne nucleon-nucleon potentials
journal, December 2012


Reduced regulator dependence of neutron-matter predictions with perturbative chiral interactions
journal, January 2013


Low-energy collective excitations in the neutron star inner crust
journal, March 2013


Static Response and Local Field Factor of the Electron Gas
journal, July 1995

  • Moroni, Saverio; Ceperley, David M.; Senatore, Gaetano
  • Physical Review Letters, Vol. 75, Issue 4
  • DOI: 10.1103/PhysRevLett.75.689

Ground-state energy of dilute neutron matter at next-to-leading order in lattice chiral effective field theory
journal, April 2009


Constraining the Skyrme energy density functional with quantum Monte Carlo calculations
journal, November 2015

  • Roggero, Alessandro; Mukherjee, Abhishek; Pederiva, Francesco
  • Physical Review C, Vol. 92, Issue 5
  • DOI: 10.1103/PhysRevC.92.054303

Quantum Monte Carlo Calculations of Neutron Matter with Nonlocal Chiral Interactions
journal, June 2014


A Skyrme parametrization from subnuclear to neutron star densities Part II. Nuclei far from stabilities
journal, May 1998


Quantum Monte Carlo calculations of neutron matter with chiral three-body forces
journal, February 2016


Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions
journal, July 2013


Calculation of Landau's fermi-liquid parameters in pure neutron matter
journal, February 1973