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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Main Author: Pascal Naidon
Format: Article
Language:English
Published: SciPost 2025-01-01
Series:SciPost Physics
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.
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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