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Time delays in ultracold atomic and molecular collisions

Frye, Matthew D.; Hutson, Jeremy M.

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We study the behavior of the Eisenbud-Wigner collisional time delay around Feshbach resonances in cold and ultracold atomic and molecular collisions. We carry out coupled-channel scattering calculations on ultracold Rb and Cs collisions. In the low-energy limit, the time delay is proportional to the scattering length and so exhibits a pole as a function of applied field. At high energy, it exhibits a Lorentzian peak as a function of either energy or field. For narrow resonances, the crossover between these two regimes occurs at an energy proportional to the square of the resonance strength parameter sres. For wider resonances, the behavior is more complicated and we present an analysis in terms of multichannel quantum defect theory.


Frye, M. D., & Hutson, J. M. (2019). Time delays in ultracold atomic and molecular collisions. Physical Review Research, 1(3), Article 033023.

Journal Article Type Article
Online Publication Date Oct 15, 2019
Publication Date Oct 31, 2019
Deposit Date Oct 18, 2019
Publicly Available Date Oct 18, 2019
Journal Physical Review Research
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 1
Issue 3
Article Number 033023


Published Journal Article (435 Kb)

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Copyright Statement
Published by the American Physical Society under the terms of the<br /> Creative Commons Attribution 4.0 International license. Further<br /> distribution of this work must maintain attribution to the author(s)<br /> and the published article’s title, journal citation, and DOI.

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