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The European Physical Journal A

, Volume 35, Issue 3, pp 357–367 | Cite as

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

  • B. Borasoy
  • E. Epelbaum
  • H. Krebs
  • D. LeeEmail author
  • U. -G. Meißner
Regular Article - Theoretical Physics

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 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 

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Copyright information

© Società Italiana di Fisica and Springer-Verlag 2008

Authors and Affiliations

  • B. Borasoy
    • 1
  • E. Epelbaum
    • 2
    • 1
  • H. Krebs
    • 1
    • 2
  • D. Lee
    • 3
    • 1
    Email author
  • U. -G. Meißner
    • 1
    • 2
  1. 1.Helmholtz-Institut für Strahlen- und Kernphysik (Theorie)Universität BonnBonnGermany
  2. 2.Institut für Kernphysik (Theorie), Forschungszentrum JülichJülichGermany
  3. 3.Department of PhysicsNorth Carolina State UniversityRaleighUSA

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