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

Abstract : We study pure neutron matter in the BEC-BCS crossover regime using renormalization group based low-momentum interactions within the Noziéres-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.
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http://hal.in2p3.fr/in2p3-00856288
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Submitted on : Friday, August 30, 2013 - 5:09:54 PM
Last modification on : Thursday, November 12, 2020 - 12:26:05 PM

### Citation

S. Ramanan, Michael Urban. BEC-BCS Crossover in Neutron Matter with Renormalization Group based Effective Interactions. Physical Review C, American Physical Society, 2013, 88, pp.054315. ⟨10.1103/PhysRevC.88.054315⟩. ⟨in2p3-00856288⟩

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