We consider a quantum model of two-channel scattering to describe the mechanism of a Feshbach resonance. We perform a rigorous analysis in order to count and localize the energy resonances in the perturbative regime, i.e., for small inter-channel coupling, and in the non-perturbative one. We provide an expansion of the effective scattering length near the resonances, via a detailed study of an effective Lippmann–Schwinger equation with energy-dependent potential.

A Quantum Model of Feshbach Resonances

Correggi M.;
2019-01-01

Abstract

We consider a quantum model of two-channel scattering to describe the mechanism of a Feshbach resonance. We perform a rigorous analysis in order to count and localize the energy resonances in the perturbative regime, i.e., for small inter-channel coupling, and in the non-perturbative one. We provide an expansion of the effective scattering length near the resonances, via a detailed study of an effective Lippmann–Schwinger equation with energy-dependent potential.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1134362
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