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.

arXiv comment25 pages, 7 figures, published version

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• Modern Theory of Nuclear Forces
• Signatures of three-nucleon interactions in few-nucleon systems
• Quantum Monte Carlo calculation of the equation of state of neutron matter
• Symmetry-guided large-scale shell-model theory
• 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
• Chiral dynamics of few- and many-nucleon systems
• Ground state energy of dilute neutron matter at next-to-leading order in lattice chiral effective field theory
• Lattice calculations for A=3,4,6,12 nuclei using chiral effective field theory
• Lattice chiral effective field theory with three-body interactions at next-to-next-to-leading order
• The ground state energy at unitarity
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• Dilute neutron matter on the lattice at next-to-leading order in chiral effective field theory
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• Low Energy Continuum and Lattice Effective Field Theories