Superfluid properties of dilute neutron matter

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 $\rho =0.003{\text{fm}}^{-3}$. Fundamental quantities which characterize the superfluid state: the single particle energy gap $\mathrm{\Delta }(T)$, and the critical temperature $\text{Tc}$ have been determined. The large value of $\mathrm{\Delta }(0)\mathrm{/}\text{Tc}\approx 3.2$ indicates that the system is not a BCS-type superfluid at low temperatures.