Dilute neutron matter on the lattice at next-to-leading order in chiral effective field theory

Abstract

We discuss lattice simulations of the ground state of dilute neutron matter at next-to-leading order in chiral effective field theory. In a previous paper the coefficients of the next-to-leading-order lattice action were determined by matching nucleon-nucleon scattering data for momenta up to the pion mass. Here the same lattice action is used to simulate the ground state of up to 12 neutrons in a periodic cube using Monte Carlo. We explore the density range from 2% to 8% of normal nuclear density and analyze the ground state energy as an expansion about the unitarity limit with corrections due to finite scattering length, effective range, and P-wave interactions.

25 pages, 7 figures, published version

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Cited by in corpus (12)

• Quantum Monte Carlo calculation of the equation of state of neutron matter
• Symmetry-guided large-scale shell-model theory
• Lattice chiral effective field theory with three-body interactions at next-to-next-to-leading order
• Equation of state of low--density neutron matter and the ${}^1{S}_0$ pairing gap
• The ground state energy at unitarity
• Dilute neutron matter on the lattice at next-to-leading order in chiral effective field theory
• pi-pi Scattering in Twisted Mass Chiral Perturbation Theory
• Lattice Effective Field Theory Simulations of Nuclei
• Worldline Monte Carlo method for few body nuclear physics
• Chiral Effective Field Theory after Thirty Years: Nuclear Lattice Simulations
• Nuclear Lattice Simulations using Symmetry-Sign Extrapolation
• Low Energy Continuum and Lattice Effective Field Theories