Neutron matter at zero temperature with auxiliary field diffusion Monte Carlo

Abstract

The recently developed auxiliary field diffusion Monte Carlo method is applied to compute the equation of state and the compressibility of neutron matter. By combining diffusion Monte Carlo for the spatial degrees of freedom and auxiliary field Monte Carlo to separate the spin-isospin operators, quantum Monte Carlo can be used to simulate the ground state of many nucleon systems $(A\alt 100)$. We use a path constraint to control the fermion sign problem. We have made simulations for realistic interactions, which include tensor and spin--orbit two--body potentials as well as three-nucleon forces. The Argonne $v_8^{\prime }$ and $v_6^{\prime }$ two nucleon potentials plus the Urbana or Illinois three-nucleon potentials have been used in our calculations. We compare with fermion hypernetted chain results. We report results of a Periodic Box--FHNC calculation, which is also used to estimate the finite size corrections to our quantum Monte Carlo simulations. Our AFDMC results for $v_6$ models of pure neutron matter are in reasonably good agreement with equivalent Correlated Basis Function (CBF) calculations, providing energies per particle which are slightly lower than the CBF ones. However, the inclusion of the spin--orbit force leads to quite different results particularly at relatively high densities. The resulting equation of state from AFDMC calculations is harder than the one from previous Fermi hypernetted chain studies commonly used to determine the neutron star structure.

15 pages, 15 tables and 5 figures

References in corpus (3)

• Quantum Monte Carlo calculations of $A=9,10$ nuclei
• Evolution of Nuclear Spectra with Nuclear Forces
• Spin-orbit induced backflow in neutron matter with auxiliary field diffusion Monte Carlo

Cited by in corpus (69)

• Quantum Monte Carlo methods for nuclear physics
• The maximum mass and radius of neutron stars and the nuclear symmetry energy
• Hyperon Puzzle: Hints from Quantum Monte Carlo Calculations
• Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions
• Chiral Three-Nucleon Interactions in Light Nuclei, Neutron-$\alpha$ Scattering, and Neutron Matter
• Applications of quantum Monte Carlo methods in condensed systems
• Quantum Monte Carlo calculation of the equation of state of neutron matter
• Quantum Monte Carlo calculations of neutron matter with chiral three-body forces
• Neutron Matter from Low to High Density
• Towards an ab initio covariant density functional for nuclear structure
• The equation of state of neutron matter, symmetry energy, and neutron star structure
• Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order
• Quantum Monte Carlo Methods in Nuclear Physics: Recent Advances
• The physics of dense hadronic matter and compact stars
• Auxiliary field diffusion Monte Carlo calculations of light and medium-mass nuclei with local chiral interactions
• Equation of state of superfluid neutron matter and the calculation of ${}^1{S}_0$ pairing gap
• Properties of nuclei up to $A=16$ using local chiral interactions
• Nuclear and neutron-star matter from local chiral interactions
• Atomic nuclei from quantum Monte Carlo calculations with chiral EFT interactions
• Benchmark calculations of pure neutron matter with realistic nucleon-nucleon interactions
• Quantum Monte Carlo approaches to nuclear and atomic physics
• Microscopic calculation of the equation of state of nuclear matter and neutron star structure
• Equation of state of low--density neutron matter and the ${}^1{S}_0$ pairing gap
• Properties of trapped neutrons interacting with realistic nuclear Hamiltonians
• Shear viscosity of neutron matter from realistic nucleon-nucleon interactions
• From the lightest nuclei to the equation of state of asymmetric nuclear matter with realistic nuclear interactions
• ${}^1{S}_0$ superfluid phase--transition in neutron matter with realistic nuclear potentials and modern many--body theories
• Density-dependent nucleon-nucleon interaction from three-nucleon forces
• Quantum Monte Carlo calculations of symmetric nuclear matter
• Auxiliary Field Diffusion Monte Carlo calculation of nuclei with A<40 with tensor interactions
• Effects of tensor forces in nuclear spin-orbit splittings from ab initio calculations
• Skyrme functional with tensor terms from \textit{ab initio} calculations of neutron-proton drops
• Auxiliary Field Diffusion Monte Carlo calculation of ground state properties of neutron drops
• Benchmark calculations of infinite neutron matter with realistic two- and three-nucleon potentials
• From the microscopic to the macroscopic world: from nucleons to neutron stars
• Neutron stars and the dense matter equation of state: from microscopic theory to macroscopic observations
• Variational Theory of Hot Nucleon Matter
• Spin-Orbit Interactions in Electronic Structure Quantum Monte Carlo
• Quantum Monte Carlo study of the two-dimensional electron gas in presence of Rashba interaction
• Relativistic Brueckner-Hartree-Fock theory for neutron drops
• Radii of neutron drops probed via the neutron skin thickness of nuclei
• Spin-orbit and tensor interactions in homogeneous matter of nucleons: accuracy of modern many-body theories
• Microscopic calculations of transport properties of neutron matter
• Nuclear energy density functionals grounded in ab initio calculations
• Quantum Monte Carlo with Variable Spins
• Monte Carlo Calculation for the neutron-rich Ca isotopes
• S-pairing in neutron matter. I. Correlated Basis Function Theory
• Spontaneous symmetry breaking and response functions
• Mean Field Calculation of Thermal Properties of Simple Nucleon Matter on a Lattice
• Quantum Monte Carlo study of dilute neutron matter at finite temperatures
• Spin-orbit correlation energy in neutron matter
• Variational calculation of nuclear matter in finite particle number approach using unitary correlation operator and high-momentum pair methods
• Spin triplet superconducting pairing in doped MoS${}_2$
• Quantum Monte Carlo formalism for dynamical pions and nucleons
• Machine-learning approach to finite-size effects in systems with strongly interacting fermions
• Recent progress on the accurate determination of the equation of state of neutron and nuclear matter
• Folding model analysis of ${}^{12}C{-}^{12}C$ and ${}^{16}O{-}^{16}O$ elastic scattering using the density-dependent LOCV averaged effective interaction
• Density-dependent nucleon-nucleon interaction from UIX three-nucleon force
• The Auxiliary Field Diffusion Monte Carlo Method for Nuclear Physics and Nuclear Astrophysics
• Finite particle number description of neutron matter using the unitary correlation operator and high-momentum pair methods
• Perturbative treatment of nonlocal chiral interactions in auxiliary-field diffusion Monte Carlo calculations
• Neutrino-nucleus interactions at low energies within Fermi-liquid theory
• Quantum Monte Carlo method applied to strongly correlated dilute fermi gases with finite effective range
• Ab initio calculations on nuclear matter properties including the effects of three-nucleons interaction
• The equation of state of neutron star matter and the symmetry energy
• From nuclear structure to neutron stars
• Finite particle-number description of symmetric nuclear matter with spin excitations of high-momentum pairs induced by tensor force
• Quantum Monte Carlo study of inhomogeneous neutron matter
• Weak Response of Nuclear Matter at low Momentum transfer