Cross section versus time delay and trapping probability

Luna-Acosta, G. A. and Fernandez-Marin, A. A. and Mendez-Bermudez, J. A. and Poli, Charles Joseph (2016) Cross section versus time delay and trapping probability. Physics Letters A, 380 (33). pp. 2494-2500. ISSN 0375-9601

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Abstract

We study the behavior of the s -wave partial cross section σ(k)σ(k), the Wigner–Smith time delay τ(k)τ(k), and the trapping probability P(k)P(k) as function of the wave number k. The s-wave central square well is used for concreteness, simplicity, and to elucidate the controversy whether it shows true resonances. It is shown that, except for very sharp structures, the resonance part of the cross section, the trapping probability, and the time delay, reach their local maxima at different values of k . We show numerically that τ(k)>0τ(k)>0 at its local maxima, occurring just before the resonant part of the cross section reaches its local maxima. These results are discussed in the light of the standard definition of resonance.

Item Type: Journal Article
Journal or Publication Title: Physics Letters A
Uncontrolled Keywords: /dk/atira/pure/subjectarea/asjc/3100
Subjects:
Departments: Faculty of Science and Technology > Physics
ID Code: 79987
Deposited By: ep_importer_pure
Deposited On: 27 Jun 2016 15:16
Refereed?: Yes
Published?: Published
Last Modified: 30 Sep 2019 19:25
URI: https://eprints.lancs.ac.uk/id/eprint/79987

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