BEC-BCS Crossover in Neutron Matter with Renormalization Group based Effective Interactions

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We study pure neutron matter in the BEC-BCS crossover regime using renormalization group based low-momentum interactions within the Nozières-Schmitt-Rink framework. This is an attempt to go beyond the mean field description for low-density matter. We work in the basis of so-called Weinberg eigenvectors where the operator G₀V is diagonal, which proves to be an excellent choice that allows one to use non-local interactions in a very convenient way. We study the importance of correlations as a function of density. We notice that there is a significant reduction of the BCS critical temperature at low-densities as the neutron matter approaches the unitary limit.