Cold dilute neutron matter on the lattice I: Lattice virial coefficients and large scattering lengths

Details Cold dilute neutron matter on the lattice I: Lattice virial coefficients and large scattering lengths Cold dilute neutron matter on the lattice I: Lattice virial coefficients and large scattering lengths

2005-09-07

arxiv.org/abs/nucl-th/0509017v1

Phys.Rev. C73 (2006) 015201

Physics

Nuclear Physics

Nuclear Theory

17 pages, 12 figures

Scientific paper

10.1103/PhysRevC.73.015201

We study cold dilute neutron matter on the lattice using an effective field theory. We work in the unitary limit in which the scattering length is much larger than the interparticle spacing. In this paper we focus on the equation of state at temperatures above the Fermi temperature and compare lattice simulations to the virial expansion on the lattice and in the continuum. We find that in the unitary limit lattice discretization errors in the second virial coefficient are significantly enhanced. As a consequence the equation of state does not show the universal scaling behavior expected in the unitary limit. We suggest that scaling can be improved by tuning the second virial coefficient rather than the scattering length.

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