Simple model of a Feshbach resonance in the strong-coupling regime

T. Wasak; M. Krych; Z. Idziaszek; M. Trippenbach; Y. Avishai; Y. B. Band

doi:10.1103/PhysRevA.90.052719

Simple model of a Feshbach resonance in the strong-coupling regime

T. Wasak, M. Krych, Z. Idziaszek, M. Trippenbach, Y. Avishai, Y. B. Band

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We use the dressed potentials obtained in the adiabatic representation of two coupled channels to calculate s-wave Feshbach resonances in a three-dimensional 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 not have a bound state.

Original language	English
Article number	052719
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	90
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevA.90.052719
State	Published - 21 Nov 2014

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

Access to Document

10.1103/PhysRevA.90.052719

Cite this

@article{56b2e12d49d8417cbf78d0db6eb6ae72,

title = "Simple model of a 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 three-dimensional 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 not have a bound state.",

author = "T. Wasak and M. Krych and Z. Idziaszek and M. Trippenbach and Y. Avishai and Band, {Y. B.}",

note = "Publisher Copyright: {\textcopyright} 2014 American Physical Society.",

year = "2014",

month = nov,

day = "21",

doi = "10.1103/PhysRevA.90.052719",

language = "English",

volume = "90",

journal = "Physical Review A - Atomic, Molecular, and Optical Physics",

issn = "1050-2947",

publisher = "American Physical Society",

number = "5",

}

TY - JOUR

T1 - Simple model of a Feshbach resonance in the strong-coupling regime

AU - Wasak, T.

AU - Krych, M.

AU - Idziaszek, Z.

AU - Trippenbach, M.

AU - Avishai, Y.

AU - Band, Y. B.

PY - 2014/11/21

Y1 - 2014/11/21

N2 - We use the dressed potentials obtained in the adiabatic representation of two coupled channels to calculate s-wave Feshbach resonances in a three-dimensional 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 not have a bound state.

AB - We use the dressed potentials obtained in the adiabatic representation of two coupled channels to calculate s-wave Feshbach resonances in a three-dimensional 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 not have a bound state.

UR - http://www.scopus.com/inward/record.url?scp=84919359611&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.90.052719

DO - 10.1103/PhysRevA.90.052719

M3 - Article

AN - SCOPUS:84919359611

SN - 1050-2947

VL - 90

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

IS - 5

M1 - 052719

ER -

Simple model of a Feshbach resonance in the strong-coupling regime

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this