Feshbach resonance without a closed-channel bound state

Y. Avishai, Y. B. Band, M. Trippenbach

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


The physics of Feshbach resonance is analyzed using an analytic expression for the s-wave scattering phase shift and the scattering length a which we derive within a two-channel tight-binding model. Employing a unified treatment of bound states and resonances in terms of the Jost function, it is shown that, for strong interchannel coupling, Feshbach resonance can occur even when the closed channel does not have a bound state. This may extend the range of ultracold atomic systems that can be manipulated by Feshbach resonance. The dependence of the sign of a on the coupling strength in the unitary limit is elucidated. As a by-product, analytic expressions are derived for the background scattering length, the external magnetic field at which resonance occurs, and the energy shift ε-εB, where ε is the scattering energy and εB is the bound-state energy in the closed channel (when there is one).

Original languageEnglish
Article number155301
JournalPhysical Review Letters
Issue number15
StatePublished - 11 Oct 2013

ASJC Scopus subject areas

  • General Physics and Astronomy


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