Calculation of three-body resonances using slow-variable discretization coupled with complex absorbing potential

Abstract

We developed a method to calculate positions and widths of three-body resonances. The method combines the hyperspherical adiabatic approach, slow variable discretization method (Tolstikhin et al., J. Phys. B: At. Mol. Opt. Phys. 29, L389 (1996)), and a complex absorbing potential. The method can be used to obtain resonances having short-range or long-range wave functions. In particular, we applied the method to obtain very shallow three-body Efimov resonances for a model system (Nielsen et al., Phys. Rev. A 66, 012705 (2002)).

23 pages, 10 figures

References in corpus (7)

• Universality in Few-body Systems with Large Scattering Length
• Evidence for Efimov quantum states in an ultracold gas of cesium atoms
• Scattering Length Scaling Laws for Ultracold Three-Body Collisions
• Mass Dependence of Ultracold Three-Body Collision Rates
• Enhancing the Observability of the Efimov Effect in Ultracold Atomic Gas Mixtures
• Production of three-body Efimov molecules in an optical lattice
• Manifestations of the Efimov Effect for Three Identical Bosons

Cited by in corpus (10)

• Excited Thomas-Efimov levels in ultracold gases
• Signatures of few-body resonances in finite volume
• Lifetimes and wave functions of ozone metastable vibrational states near the dissociation limit in full symmetry approach
• Eigenvector Continuation and Projection-Based Emulators
• Potential energy and dipole moment surfaces of H3- molecule
• Few-body bound states and resonances in finite volume
• Volume extrapolation via eigenvector continuation
• Geometrical phase driven predissociation: Lifetimes of 2^2 A' levels of H_3
• Resonant states of H${}_3^{-}$ molecule and its isotopologues D${}_2$H${}^{-}$ and H${}_2$D${}^{-}$
• Correlation diagrams in collisions of three identical particles