SciPost Submission Page
Closed-channel parameters of Feshbach resonances
by Pascal Naidon
Submission summary
| Authors (as registered SciPost users): | Pascal Naidon |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2403.14962v3 (pdf) |
| Date submitted: | 2024-10-22 06:30 |
| Submitted by: | Naidon, Pascal |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
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.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
List of changes
Following the referee's questions,
* Fig. 1 has been divided into three panels to show the scattering continuum in a similar way to Fig. 2. A white curve has been added in both Fig. 1 and 2 to show the location of the resonance in the continuum.
* A discussion has been added at the end of Section 4.3 to show how a model outside the QDT regime can assign a mass to the compact core responsible for a hadron resonance such as X(3872).
* Accordingly, sections have been added/expanded in the appendices to include a treatment of the effective range .
All changes can be seen in the file attached in the reply to the Referee.