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

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

2007-12-18

arxiv.org/abs/0712.2993v2

Eur.Phys.J.A35:357-367,2008

Physics

Nuclear Physics

Nuclear Theory

25 pages, 7 figures, published version

Scientific paper

10.1140/epja/i2008-10545-2

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.

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