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 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 $G_{0}V$ 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.

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

References in corpus (10)

• Revealing the Superfluid Lambda Transition in the Universal Thermodynamics of a Unitary Fermi Gas
• Coexistence of BCS and BEC-like pair structures in halo nuclei
• Low-momentum interactions with smooth cutoffs
• BCS-BEC crossover of neutron pairs in symmetric and asymmetric nuclear matter
• Convergence of the Born Series with Low-Momentum Interactions
• Non-empirical pairing energy functional in nuclear matter and finite nuclei
• Dependence of the BCS 1S0 superfluid pairing gap on nuclear interactions
• Nuclear Superfluidity and Cooling Time of Neutron-Star Crust
• Weinberg Eigenvalues and Pairing with Low-Momentum Potentials
• Pairing correlations in exotic nuclei

Cited by in corpus (20)

• The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
• Superfluidity in nuclear systems and neutron stars
• Weinberg eigenvalues for chiral nucleon-nucleon interactions
• Enhanced critical temperature, pairing fluctuation effects, and BCS-BEC crossover in a two-band Fermi gas
• Triplet Pairing in pure neutron matter
• Collective Modes in a Superfluid Neutron Gas within the Quasiparticle Random-Phase Approximation
• Neutron pairing with medium polarization beyond the Landau approximation
• Superfluid Phase Transitions and Effects of Thermal Pairing Fluctuations in Asymmetric Nuclear Matter
• Polarized Fermi gases at finite temperature in the BCS-BEC crossover
• Screening and anti-screening of the pairing interaction in low-density neutron matter
• Pairing in pure neutron matter
• Thermodynamic Properties of Holographic superfluids
• Many-body approximations to the superfluid gap and critical temperature in pure neutron matter
• Generalized Crossover in Interacting Fermions within the Low-Energy Expansion
• Polaronic Proton and Diproton Clustering in Neutron-Rich Matter
• BCS-BEC Crossover Effects and Pseudogap in Neutron Matter
• Conventional and Unconventional Pairing and Condensates in Dilute Nuclear Matter
• Low-Dimensional Fluctuations and Pseudogap in Gaudin-Yang Fermi Gases
• Strong-coupling effects of pairing fluctuations, and Anderson-Bogoliubov mode in neutron ${}^1$S${}_0$ superfluids in neutron stars
• Hartree shift and pairing gap in ultracold Fermi gases in the framework of low-momentum interactions