STI Publications - View Publication Form #21306

Back to Search Results Print
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
JLAB Number: JLAB-THY-24-4022 OSTI Number: 2345734
LANL Number: arXiv:2309.01732 Other Number: DOE/OR/23177-7452
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)
DOI Link
Dataset(s) (none)
Back to Search Results Print