Closed-channel parameters of Feshbach resonances
This work investigates how the closed channel of a Feshbach resonance is characterised by experimental observables. Surprisingly, it is found that the two-body observables associated with the Feshbach resonance can be insensitive to the properties of the closed channel. In particular, it is impossib...
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2025-01-01
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Online Access: | https://scipost.org/SciPostPhys.18.1.036 |
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author | Pascal Naidon |
author_facet | Pascal Naidon |
author_sort | Pascal Naidon |
collection | DOAJ |
description | This work investigates how the closed channel of a Feshbach resonance is characterised by experimental observables. Surprisingly, it is found that the two-body observables associated with the Feshbach resonance can be insensitive to the properties of the closed channel. In particular, it is impossible in this situation to determine the energy of the bound state causing the resonance from the usual experimental data. This is the case for all magnetic Feshbach resonances in ultracold atoms, due to their deep two-body interaction potentials. This insensitivity highlights a major difference with Feshbach resonances that involve shallow interaction potentials, such as hadron resonances. It appears however that short-range two-body correlations and three-body observables are affected by a parameter of the closed channel called the "closed-channel scattering length". A photoassociation experiment is proposed to measure this parameter in ultracold atom systems. |
format | Article |
id | doaj-art-9fd482b49b534bcca7a0c4b66f944d49 |
institution | Kabale University |
issn | 2542-4653 |
language | English |
publishDate | 2025-01-01 |
publisher | SciPost |
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series | SciPost Physics |
spelling | doaj-art-9fd482b49b534bcca7a0c4b66f944d492025-01-29T16:56:20ZengSciPostSciPost Physics2542-46532025-01-0118103610.21468/SciPostPhys.18.1.036Closed-channel parameters of Feshbach resonancesPascal NaidonThis work investigates how the closed channel of a Feshbach resonance is characterised by experimental observables. Surprisingly, it is found that the two-body observables associated with the Feshbach resonance can be insensitive to the properties of the closed channel. In particular, it is impossible in this situation to determine the energy of the bound state causing the resonance from the usual experimental data. This is the case for all magnetic Feshbach resonances in ultracold atoms, due to their deep two-body interaction potentials. This insensitivity highlights a major difference with Feshbach resonances that involve shallow interaction potentials, such as hadron resonances. It appears however that short-range two-body correlations and three-body observables are affected by a parameter of the closed channel called the "closed-channel scattering length". A photoassociation experiment is proposed to measure this parameter in ultracold atom systems.https://scipost.org/SciPostPhys.18.1.036 |
spellingShingle | Pascal Naidon Closed-channel parameters of Feshbach resonances SciPost Physics |
title | Closed-channel parameters of Feshbach resonances |
title_full | Closed-channel parameters of Feshbach resonances |
title_fullStr | Closed-channel parameters of Feshbach resonances |
title_full_unstemmed | Closed-channel parameters of Feshbach resonances |
title_short | Closed-channel parameters of Feshbach resonances |
title_sort | closed channel parameters of feshbach resonances |
url | https://scipost.org/SciPostPhys.18.1.036 |
work_keys_str_mv | AT pascalnaidon closedchannelparametersoffeshbachresonances |