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Neutron matter at low density and the unitary limit

2007/12/17 by M. Baldo, C. Maieron · 4 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Atomic physics #Condensed matter physics #Electron #Equation of state #Fermi gas #Limit (mathematics) #Line (geometry) #Momentum (technical analysis) #Neutron #Nuclear matter #Nuclear physics research studies #Nucleon #Physics #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Range (aeronautics) #Scattering #Scattering length #Unitary state #nucl-th

paper · pdf · doi:10.1103/physrevc.77.015801

published as Phys.Rev.C77:015801,2008 · 17 pages, 7 figures. To be published in Phys. Rev. C

arxiv created 2007/12/17 · openalex publication_date 2008/01/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Neutron matter at low density is studied within the hole-line expansion. Calculations are performed in the range of Fermi momentum kF between 0.4 and 0.8 fm^\ensuremath-1. It is found that the Equation of State is determined by the 1S0 channel only, the three-body forces contribution is quite small, the effect of the single particle potential is negligible and the three hole-line contribution is below 5% of the total energy and indeed vanishing small at the lowest densities. Despite the unitary limit is actually never reached, the total energy stays very close to one half of the free gas value throughout the considered density range. A rank one separable representation of the bare NN interaction, which reproduces the physical scattering length and effective range, gives results almost indistinguishable from the full Brueckner G-matrix calculations with a realistic force. The extension of the calculations below kF=0.4 fm^\ensuremath-1 does not indicate any pathological behavior of the neutron matter equation of state.

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