Simple model of Feshbach resonance in the strong-coupling regime

Abstract

We use the dressed potentials obtained in the adiabatic representation of two coupled channels to calculate s-wave Feshbach resonances in a 3D spherically symmetric potential with an open channel interacting with a closed channel. Analytic expressions for the s-wave scattering length $a$ and number of resonances are obtained for a piecewise constant model with a piecewise constant interaction of the open and closed channels near the origin. We show analytically and numerically that, for strong enough coupling strength, Feshbach resonances can exist even when the closed channel does {\em not} have a bound state.

arXiv comment9 pages, 8 figures

References in corpus (7)

• Feshbach Resonances in Ultracold Gases
• Production of cold molecules via magnetically tunable Feshbach resonances
• Controlling a magnetic Feshbach resonance with laser light
• Systematic study of Optical Feshbach Resonances in an ideal gas
• Determination of atomic scattering lengths from measurements of molecular binding energies near Feshbach resonances
• Shifts and widths of Feshbach resonances in atomic waveguides
• Feshbach Resonance in a Tight-Binding Model

Cited by in corpus (4)

• Composite-boson approach to molecular Bose-Einstein condensates in mixtures of ultracold Fermi gases
• Orbital Feshbach Resonance with Small Energy Gap between Open and Closed Channels
• A Model for Scattering with Proliferating Resonances: Many Coupled Square Wells
• Fractal Quasicondensation in One Dimension