Characterizing quasibound states and scattering resonances
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 scatterin...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2020-03-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.013291 |
| _version_ | 1797211554663366656 |
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| author | Matthew D. Frye Jeremy M. Hutson |
| author_facet | Matthew D. Frye Jeremy M. Hutson |
| author_sort | Matthew D. Frye |
| collection | DOAJ |
| description | 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–H_{2}, which decays only by vibrational predissociation, and on near-threshold states of ^{85}Rb_{2}, whose lifetime varies over four orders of magnitude as a function of magnetic field. |
| first_indexed | 2024-04-24T10:28:20Z |
| format | Article |
| id | doaj.art-a783c9edb07544fcb79d6b636921f611 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:28:20Z |
| publishDate | 2020-03-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-a783c9edb07544fcb79d6b636921f6112024-04-12T16:51:13ZengAmerican Physical SocietyPhysical Review Research2643-15642020-03-012101329110.1103/PhysRevResearch.2.013291Characterizing quasibound states and scattering resonancesMatthew D. FryeJeremy M. HutsonCharacterizing 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–H_{2}, which decays only by vibrational predissociation, and on near-threshold states of ^{85}Rb_{2}, whose lifetime varies over four orders of magnitude as a function of magnetic field.http://doi.org/10.1103/PhysRevResearch.2.013291 |
| spellingShingle | Matthew D. Frye Jeremy M. Hutson Characterizing quasibound states and scattering resonances Physical Review Research |
| title | Characterizing quasibound states and scattering resonances |
| title_full | Characterizing quasibound states and scattering resonances |
| title_fullStr | Characterizing quasibound states and scattering resonances |
| title_full_unstemmed | Characterizing quasibound states and scattering resonances |
| title_short | Characterizing quasibound states and scattering resonances |
| title_sort | characterizing quasibound states and scattering resonances |
| url | http://doi.org/10.1103/PhysRevResearch.2.013291 |
| work_keys_str_mv | AT matthewdfrye characterizingquasiboundstatesandscatteringresonances AT jeremymhutson characterizingquasiboundstatesandscatteringresonances |