Feshbach resonance described by the boson fermion coupling

Abstract

We consider a possibility to describe the Feshbach resonance in terms of the Boson Fermion (BF) model. Using such model we show that after a gradual disentangling of the boson from fermion subsystem the resonant type scattering between fermions is indeed generated. We decouple the subsystems via: (a) the single step, and (b) the continuous canonical transformation. With the second one we investigate the feedback effects effectively leading to the finite amplitude of the scattering strength. We study them in detail in: the normal $T>T_c$ and superconducting $T\le T_c$ states.

arXiv comment5 pages, 1 figure

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Cited by in corpus (10)

• Flow Equations and Normal Ordering. A Survey
• Bogoliubov shadow bands in the normal state of superconducting systems with strong pair fluctuations
• Simple Mean-Field Theory for a Zero-Temperature Fermi Gas at a Feshbach Resonance
• Interplay between the single particle and collective features in the boson fermion model
• Structural matters in HTSC; the origin and form of stripe organization and checker boarding
• Remnant superfluid collective phase oscillations in the normal state of systems with resonant pairing
• Ultracold atom superfluidity induced by the Feshbach resonance
• Quantum fluctuations of the ultracold atom-molecule mixtures
• The flow equation approach to the pairing instability problem
• Bosonic mode interpretation of novel STM and related experimental results, within boson-fermion modelling of HTSC Materials