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Characterizing quasibound states and scattering resonances

Frye, Matthew D.; Hutson, Jeremy M.

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Characterizing quasibound states from coupled-channel scattering calculations can be a laborious task, involving extensive manual iteration and fitting. We present an automated procedure, based on the phase shift or S-matrix eigenphase sum, that reliably converges on a quasibound state (or scattering resonance) from some distance away. It may be used for both single-channel and multichannel scattering. It produces the energy and width of the state and the phase shift of the background scattering, and hence the lifetime of the state. It also allows extraction of partial widths for decay to individual open channels. We demonstrate the method on a very narrow state in the Van der Waals complex Ar–H2, which decays only by vibrational predissociation, and on near-threshold states of 85Rb2, whose lifetime varies over four orders of magnitude as a function of magnetic field.


Frye, M. D., & Hutson, J. M. (2020). Characterizing quasibound states and scattering resonances. Physical Review Research, 2(1), Article 013291.

Journal Article Type Article
Acceptance Date Feb 7, 2020
Online Publication Date Mar 11, 2020
Publication Date Mar 31, 2020
Deposit Date Mar 13, 2020
Publicly Available Date Mar 13, 2020
Journal Physical Review Research
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 2
Issue 1
Article Number 013291


Published Journal Article (300 Kb)

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

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