Proximity effect of pair correlation in the inner crust of neutron stars

Okihashi, Toshiyuki

doi:10.48550/arxiv.2009.11505

Cited by 1 publication

(1 citation statement)

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“…However, if the pairing is strong enough and the Cooper-pair size (coherence length) small enough, i.e., much smaller than the distance between clusters, it should be possible to treat the neutron gas approximately as uniform matter, except near the cluster surface [4]. Furthermore, in the cases where the local-density approximation is not valid, the calculations rely generally on density-dependent effective interactions, fitted such that they reproduce, at the mean-field level, the realistic pairing gaps in uniform matter [4,5]. In this case, the understanding of uniform neutron matter is a necessary prerequisite to describe superfluidity of the inner crust.…”

Section: Introductionmentioning

confidence: 99%

BCS-BEC Crossover Effects and Pseudogap in Neutron Matter

Durel

Urban

2020

Universe

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Due to the large neutron–neutron scattering length, dilute neutron matter resembles the unitary Fermi gas, which lies half-way in the crossover from the BCS phase of weakly coupled Cooper pairs to the Bose–Einstein condensate of dimers. We discuss crossover effects in analogy with the T-matrix theory used in the physics of ultracold atoms, which we generalize to the case of a non-separable finite-range interaction. A problem of the standard Nozières–Schmitt-Rink approach and different ways to solve it are discussed. It is shown that in the strong-coupling regime, the spectral function exhibits a pseudo-gap at temperatures above the critical temperature Tc. The effect of the correlated density on the density dependence of Tc is found to be rather weak, but a possibly important effect due to the reduced quasiparticle weight is identified.

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Section: Introductionmentioning

confidence: 99%