Issue Eur. Phys. J. A Volume 40, Number 2, May 2009 Page(s) 199 - 213 Section Regular Article - Theoretical Physics DOI 10.1140/epja/i2009-10755-0 Published online 18 April 2009

Eur. Phys. J. A 40, 199-213 (2009)
DOI: 10.1140/epja/i2009-10755-0

Ground-state energy of dilute neutron matter at next-to-leading order in lattice chiral effective field theory

E. Epelbaum^{1, 2}, H. Krebs^{1, 2}, D. Lee^{2, 3} and U. -G. Meißner<sup>1, 2

1</sup>  Institut für Kernphysik (IKP-3) and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425, Jülich, Germany
²  Helmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität Bonn, D-53115, Bonn, Germany
³  Department of Physics, North Carolina State University, 27695, Raleigh, NC, USA

dean_lee@ncsu.edu

Received 19 January 2009 / Published online 18 April 2009

Abstract

We present lattice calculations for the ground-state energy of dilute neutron matter at next-to-leading order in chiral effective field theory. This study follows a series of recent papers on low-energy nuclear physics using chiral effective field theory on the lattice. In this work we introduce an improved spin- and isospin-projected leading-order action which allows for a perturbative treatment of corrections at next-to-leading order and smaller estimated errors. Using auxiliary fields and Euclidean-time projection Monte Carlo, we compute the ground state of 8, 12, and 16 neutrons in a periodic cube, covering a density range from 2% to 10% of normal nuclear density.

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.

Correspondence: dean_lee@ncsu.edu

Communicated by A. Schäfer

© Società Italiana di Fisica, Springer-Verlag 2009

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