Scattering Resonances in a Degenerate Fermi Gas
K. J. Challis, N. Nygaard, K. M{\o}lmer

TL;DR
This paper investigates how a projectile scatters off a trapped superfluid Fermi gas, revealing Fano resonances caused by atomic pairing, and compares these findings with BCS theory.
Contribution
It introduces a detailed scattering analysis using Hartree-Fock and configuration-interaction methods, highlighting Fano resonances due to pairing in a 1D Fermi gas.
Findings
Identification of Fano-type scattering resonances
Resonance characteristics linked to inter-atomic pairing
Comparison with BCS mean-field results
Abstract
We consider elastic single-particle scattering from a one-dimensional two-component trapped superfluid Fermi gas when the incoming projectile particle is identical to one of the confined species. Our theoretical treatment is based on the Hartree-Fock ground state of the trapped gas and a configuration-interaction description of the excitations. We determine the scattering phase shifts for the system and predict Fano-type scattering resonances that are a direct consequence of inter-atomic pairing. We describe the main characteristics of the scattering resonances and make a comparison with the results of BCS mean-field theory.
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