Spin-polarized neutron matter at different orders of chiral effective field theory

Abstract

Spin-polarized neutron matter is studied using chiral two- and three-body forces. We focus, in particular, on predictions of the energy per particle in ferromagnetic neutron matter at different orders of chiral effective field theory and for different choices of the resolution scale. We discuss the convergence pattern of the predictions and their cutoff dependence. We explore to which extent fully polarized neutron matter behaves (nearly) like a free Fermi gas. We also consider the more general case of partial polarization in neutron matter as well as the presence of a small proton fraction. In other words, in our calculations, we vary both spin and isospin asymmetries. Confirming the findings of other microscopic calculations performed with different approaches, we report no evidence for a transition to a polarized phase of neutron matter5

21 pages, 5 figures. arXiv admin note: text overlap with arXiv:1104.0437

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• Spin polarized neutron matter within the Dirac-Brueckner-Hartree-Fock approach
• Spin- and isospin-polarized states of nuclear matter in the Dirac-Brueckner-Hartree-Fock model

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• Extended Skyrme interactions for nuclear matter, finite nuclei and neutron stars
• Relativistic Effects and Three-Nucleon Forces in Nuclear Matter and Nuclei
• Density-dependent NN-interaction from subleading chiral 3N-forces: Long-range terms
• Density-dependent NN-interaction from subleading chiral 3N-forces: short-range terms and relativistic corrections
• Proton pairing in neutron stars from chiral effective field theory
• Density-dependent NN-interaction from subsubleading chiral 3N-force: Intermediate-range contributions
• Isospin-Asymmetry Dependence of the Thermodynamic Nuclear Equation of State in Many-Body Perturbation Theory
• Isospin breaking from diquark clustering