University of Washington, Seattle, WA (United States)
Old Dominion University, Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
University of California, Berkeley, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). Nuclear Science Division
University of California, Berkeley, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). Nuclear Science Division; College of William and Mary, Williamsburg, VA (United States)
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. Here 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.
Dawid, Sebastian M., Islam, Md E., Briceño, Raúl A., & Jackura, Andrew W. (2024). Evolution of Efimov states. Physical Review A, 109(4). https://doi.org/10.1103/physreva.109.043325
Dawid, Sebastian M., Islam, Md E., Briceño, Raúl A., et al., "Evolution of Efimov states," Physical Review A 109, no. 4 (2024), https://doi.org/10.1103/physreva.109.043325
@article{osti_2345734,
author = {Dawid, Sebastian M. and Islam, Md E. and Briceño, Raúl A. and Jackura, Andrew W.},
title = {Evolution of Efimov states},
annote = {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. Here 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.},
doi = {10.1103/physreva.109.043325},
url = {https://www.osti.gov/biblio/2345734},
journal = {Physical Review A},
issn = {ISSN 2469-9926},
number = {4},
volume = {109},
place = {United States},
publisher = {American Physical Society (APS)},
year = {2024},
month = {04}}
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); Thomas Jefferson National Accelerator Facility, Newport News, VA (United States); University of Washington, Seattle, WA (United States)
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 369, Issue 1946https://doi.org/10.1098/rsta.2011.0001