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 / Carlone, R.; Correggi, M.; Finco, D.; Teta, A.. - In: ANNALES HENRI POINCARE'. - ISSN 1424-0637. - 20:9(2019), pp. 2899-2935. [10.1007/s00023-019-00813-3]
A Quantum Model of Feshbach Resonances
Teta A.
2019
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.| File | Dimensione | Formato | |
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