Publications
Publication Information
Title | Evolution of Efimov States |
Authors | Sebastian Dawid, Md Habib E Islam, Raul Briceno, Andrew Jackura |
JLAB number | JLAB-THY-24-4022 |
LANL number | arXiv:2309.01732 |
Other number | DOE/OR/23177-7452 |
Document Type(s) | (Journal Article) |
Associated with EIC: | No |
Supported by Jefferson Lab LDRD Funding: | No |
Funding Source: | Nuclear Physics (NP) |
Journal Compiled for Physical Review A Volume 109 Issue 4 Page(s) 043325 Refereed | |
Publication 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. |
Experiment Numbers: | other |
Group: | THEORY CENTER |
Document: | |
DOI: | https://doi.org/10.1103/PhysRevA.109.043325 |
Accepted Manuscript: | |
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