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

Abstract

We present lattice calculations for the ground state energy of dilute neutron matter at next-to-leading order in chiral effective field theory. This study follows a series of recent papers on low-energy nuclear physics using chiral effective field theory on the lattice. In this work we introduce an improved spin- and isospin-projected leading-order action which allows for a perturbative treatment of corrections at next-to-leading order and smaller estimated errors. Using auxiliary fields and Euclidean-time projection Monte Carlo, we compute the ground state of 8, 12, and 16 neutrons in a periodic cube, covering a density range from 2% to 10% of normal nuclear density.

34 pages, 8 figures, journal version to appear in Eur. Phys. J. A

References in corpus (21)

• Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
• Critical Temperature and Thermodynamics of Attractive Fermions at Unitarity
• Epsilon expansion for a Fermi gas at infinite scattering length
• Renormalization group fixed points, universal phase diagram, and 1/N expansion for quantum liquids with interactions near the unitarity limit
• Quantum Monte Carlo Simulations of the BCS-BEC Crossover at Finite Temperature
• The potential energy of a ${}^{40}$K Fermi gas in the BCS-BEC crossover
• Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order
• Large-N expansion for unitary superfluid Fermi gases
• Fermi gas near unitarity around four and two spatial dimensions
• The ground state energy at unitarity
• Deconstructing triplet nucleon-nucleon scattering
• Density-functional theory for fermions in the unitary regime
• Next-to-next-to-leading-order epsilon expansion for a Fermi gas at infinite scattering length
• Two-particle scattering on the lattice: Phase shifts, spin-orbit coupling, and mixing angles
• Spectral convexity for attractive SU(2N) fermions
• Sign-free stochastic mean-field approach to strongly correlated phases of ultracold fermions
• Chiral effective field theory on the lattice at next-to-leading order
• Dilute neutron matter on the lattice at next-to-leading order in chiral effective field theory
• BEC-BCS Crossover in the Epsilon Expansion
• The symmetric heavy-light ansatz
• Superfluidity and excitations at unitarity

Cited by in corpus (63)

• Skyrme Interaction and Nuclear Matter Constraints
• Relativistic Mean-Field Hadronic Models under Nuclear Matter Constraints
• Ab initio calculation of the Hoyle state
• Neutron matter at next-to-next-to-next-to-leading order in chiral effective field theory
• Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions
• Neutron matter from chiral effective field theory interactions
• Low-density neutron matter
• Nucleon Effective Masses in Neutron-Rich Matter
• Coupled-cluster calculations of nucleonic matter
• Ab initio alpha-alpha scattering
• Quantum Monte Carlo calculations of neutron matter with chiral three-body forces
• Microscopic calculations and energy expansions for neutron-rich matter
• Equation of state of nuclear and neutron matter at third-order in perturbation theory from chiral EFT
• Energy density functional for nuclei and neutron stars
• Lattice effective field theory calculations for A = 3,4,6,12 nuclei
• Perturbative Renormalizability of Chiral Two Pion Exchange in Nucleon-Nucleon Scattering: P- and D-waves
• Quantum Monte Carlo calculations of neutron matter with non-local chiral interactions
• Auxiliary-Field Quantum Monte Carlo Simulations of Neutron Matter in Chiral Effective Field Theory
• Chiral dynamics of few- and many-nucleon systems
• Lattice calculations for A=3,4,6,12 nuclei using chiral effective field theory
• Symmetry Energy III: Isovector Skins
• Symmetry energy of cold nucleonic matter within a relativistic mean field model encapsulating effects of high momentum nucleons induced by short-range correlations
• Neutron star crusts from mean field models constrained by chiral effective field theory
• Equation of state of low--density neutron matter and the ${}^1{S}_0$ pairing gap
• Dependence of the triple-alpha process on the fundamental constants of nature
• Constraints on Skyrme Equations of State from Properties of Doubly Magic Nuclei and Ab-Initio Calculations of Low-Density Neutron Matter
• Static Response of Neutron Matter
• The isospin quartic term in the kinetic energy of neutron-rich nucleonic matter
• Symmetry energy, neutron skin, and neutron star radius from chiral effective field theory interactions
• From homogeneous matter to finite nuclei: Role of the effective mass
• Ab initio and phenomenological studies of the static response of neutron matter
• Non-perturbative Extraction of the Effective Mass in Neutron Matter
• Neutron-proton scattering at next-to-next-to-leading order in Nuclear Lattice Effective Field Theory
• Proton-skins in momentum space and neutron-skins in coordinate space in heavy nuclei
• Microscopic Study of ${}^1{S}_0$ Superfluidity in Dilute Neutron Matter
• Finite volume effects in low-energy neutron-deuteron scattering
• Analyzing the speed of sound in neutron star with machine learning
• Quantum Monte Carlo study of dilute neutron matter at finite temperatures
• Hot and dense matter beyond relativistic mean field theory
• Phase separation in low-density neutron matter
• Unitarity potentials and neutron matter at the unitary limit
• Lattice Effective Field Theory Simulations of Nuclei
• Toward a systematic strategy for defining power counting in the construction of the energy density functional theory
• Nucleon Effective E-Mass in Neutron-Rich Matter from the Migdal-Luttinger Jump
• Universal Relations For Generic Family Of Neutron Star Equations Of State
• Spin-polarized low-density neutron matter
• Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules
• Satisfying the compressibility sum rule in neutron matter
• Nuclear matter from the ladder resummation in terms of the experimental nucleon-nucleon scattering amplitudes
• Neutron star equation of state and tidal deformability with nuclear energy density functionals
• Enforcing causality in nonrelativistic equations of state at finite temperature
• Charge-dependent nucleon-nucleon interaction at N${}^3$LO in nuclear lattice effective field theory
• Investigating nuclear beta decay using lattice quantum Monte Carlo approach
• Neutron matter within QCD sum rules
• Causality bounds for neutron-proton scattering
• Worldline Monte Carlo method for few body nuclear physics
• Effective Field Theories for Neutron Stars Physics
• Skyrme-based extrapolation for the static response of neutron matter
• Neutron matter at the interface(s): static response and effective mass
• Origins and Impacts of High-Density Symmetry Energy
• Ab initio calculation of the Hoyle state and a new look at clustering in nuclei
• Nuclear lattice simulations: Status and perspectives
• Chiral Effective Field Theory after Thirty Years: Nuclear Lattice Simulations