https://doi.org/10.1140/epja/i2008-10545-2
Regular Article - Theoretical Physics
Dilute neutron matter on the lattice at next-to-leading order in chiral effective field theory
1
Helmholtz-Institut für Strahlen- und Kernphysik (Theorie), Universität Bonn, Nußallee 14-16, D-53115, Bonn, Germany
2
Institut für Kernphysik (Theorie), Forschungszentrum Jülich, D-52425, Jülich, Germany
3
Department of Physics, North Carolina State University, 27695, Raleigh, NC, USA
* e-mail: dean_lee@ncsu.edu
Received:
10
January
2008
Accepted:
2
March
2008
Published online:
9
April
2008
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 simulations. 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.
PACS: 13.75.Cs Nucleon-nucleon interactions (including antinucleons, deuterons, etc.) – / 21.30.-x Nuclear forces – / 21.60.Ka Monte Carlo models – / 21.65.Cd Asymmetric matter, neutron matter –
© Società Italiana di Fisica and Springer-Verlag, 2008
