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Characterizing quasibound states and scattering resonances.

Frye, Matthew D. and Hutson, Jeremy M. (2020) 'Characterizing quasibound states and scattering resonances.', Physical review research., 2 (1). 013291.


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.

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Publisher 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.
Date accepted:07 February 2020
Date deposited:13 March 2020
Date of first online publication:11 March 2020
Date first made open access:13 March 2020

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