1308.0939 (S. Ramanan et al.)

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

S. Ramanan, M. Urban

We study pure neutron matter in the BEC-BCS crossover regime using renormalization group based low-momentum interactions within the Nozi\`eres-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 $G_0V$ 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.

View original: http://arxiv.org/abs/1308.0939