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General features and contact modeling of $N$-body isolated resonances near threshold
by Ludovic Pricoupenko
Submission summary
| Authors (as registered SciPost users): | Ludovic Pricoupenko |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202406_00010v2 (pdf) |
| Date submitted: | 2024-08-01 22:01 |
| Submitted by: | Pricoupenko, Ludovic |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
$N$-body non efimovian bound or quasi-bound states for particles with short range interactions are considered in arbitrary dimensions. The different resonance regimes near the threshold are depicted by using a generalization of the effective range approximation. This two-parameter description can be used in various contexts from ultracold to hadronic physics. The universal character of these states makes it possible a formulation in terms of a contact model. The singularity at the contact imposes the introduction of a modified scalar product to solve the normalization catastrophe and to restore the self-adjoint character of the model. An equivalence with the standard scalar product used for realistic finite range models is derived.
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
Author comments upon resubmission
I have implemented the remark suggested by one of the referees concerning the crucial role played by the p-wave resonant character of the interaction between one neutron and the alpha particle in explaining the binding of the 6He halo state. For readers interested in further details and explanations, I referred to the discussions of sections 3.7-3.10 in Ref. [4] and I have also added the reference C.A. Bertulani, H.-W. Hammer, U. van Kolck, Nucl. Phys. A 712, 37 (2002).
In the new pdf that I send to you, all the changes are written in red color.
I hope that in this form, the manuscript is ready for publication.
Thank you for your work.
Best regards,
Ludovic Pricoupenko
List of changes
-Suggestion of one of the referee concerning the crucial role played by the p-wave resonant character of the interaction between one neutron and the alpha particle in explaining the binding of the 6He halo state is implemented.
-Ref. C.A. Bertulani, H.-W. Hammer, U. van Kolck, Nucl. Phys. A 712, 37 (2002) has been added.
All the changes are in red color.