Abstract
We report results of fully non-perturbative calculations, based on Auxiliary Field Quantum Monte Carlo (AFQMC) approach, for the dilute neutron matter at the density $ρ=0.003\fm^{-3}$. Fundamental quantities which characterize the superfluid state: the single particle energy gap , and the critical temperature $\Tc$ have been determined. The large value of $Δ(0)/\Tc\approx 3.2$ indicates that the system is not a BCS-type superfluid at low temperatures.
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