English

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

Nuclear Theory 2013-12-10 v2 Quantum Gases Strongly Correlated Electrons

Abstract

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 G0VG_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.

Keywords

Cite

@article{arxiv.1308.0939,
  title  = {BEC-BCS Crossover in Neutron Matter with Renormalization Group based Effective Interactions},
  author = {S. Ramanan and M. Urban},
  journal= {arXiv preprint arXiv:1308.0939},
  year   = {2013}
}

Comments

10 pages and 8 figures, Figs 6 and 7 now includes higher cut-offs, discussion of the cut-off dependence improved, new Summary and Outlook section and new references added

R2 v1 2026-06-22T01:03:57.014Z