STI Publications - View Publication Form #21306
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Publication Information
Title | Evolution of Efimov States | ||||
Abstract | The Efimov phenomenon manifests itself as an emergent discrete scaling symmetry in the quantum three-body problem. In the unitarity limit, it leads to an infinite tower of three-body bound states with energies forming a geometric sequence. In this work, we study the evolution of these so-called Efimov states using relativistic scattering theory. We identify them as poles of the three-particle S matrix and trace their trajectories in the complex energy plane as they evolve from virtual states through bound states to resonances. We dial the scattering parameters toward the unitarity limit and observe the emergence of the universal scaling of energies and couplings?a behavior known from the non-relativistic case. Interestingly, we find that Efimov resonances follow unusual, cyclic trajectories accumulating at the three-body threshold and then disappear at some values of the two-body scattering length. We propose a partial resolution to this ?missing states? problem. | ||||
Author(s) | Sebastian Dawid, Md Habib E Islam, Raul Briceno, Andrew Jackura | ||||
Publication Date | April 2024 | ||||
Document Type | Journal Article | ||||
Primary Institution | Thomas Jefferson National Accelerator Facility, Newport News | ||||
Affiliation | Theory & Comp Physics / THEORY CENTER / THEORY CENTER | ||||
Funding Source | Nuclear Physics (NP) | ||||
Proprietary? | No | ||||
This publication conveys | Technical Science Results | ||||
Document Numbers |
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Associated with an experiment | No | ||||
Associated with EIC | No | ||||
Supported by Jefferson Lab LDRD Funding | No |
Journal Article
Journal Name | Physical Review A |
Refereed | Yes |
Volume | 109 |
Issue | 4 |
Page(s) | 043325 |
Attachments/Datasets/DOI Link
Document(s) |
2309.01732v11.pdf
(STI Document)
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DOI Link | |
Dataset(s) | (none) |
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