Scaling limit of virtual states of triatomic systems

Abstract

For a system with three identical atoms, the dependence of the $s-$wave virtual state energy on the weakly bound dimer and trimer binding energies is calculated in a form of a universal scaling function. The scaling function is obtained from a renormalizable three-body model with a pairwise Dirac-delta interaction. It was also discussed the threshold condition for the appearance of the trimer virtual state.

9 pages, 3 figures

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Cited by in corpus (31)

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• Dynamical regimes of a quantum swap gate beyond the Fermi Golden Rule
• Triatomic continuum resonances for large negative scattering lengths
• Recursive renormalization of the singlet one-pion-exchange plus point-like interactions
• The ^4He trimer as an Efimov system
• Universality of Brunnian ($N$-body Borromean) four and five-body systems
• Trajectory of neutron$-$neutron${-}^{18}C$ excited three-body state
• Neutron${-}^{19}$C scattering near an Efimov state
• Scattering length of the helium atom - helium dimer collision
• Nucleon-nucleon scattering within a multiple subtractive renormalization approach
• Three-boson recombination at ultralow temperatures
• Single-Particle Momentum Distributions of Efimov States in Mixed-Species Systems
• Scaling predictions for radii of weakly bound triatomic molecules
• A supercircle description of universal three-body states in two dimensions
• Universality in Four-Boson Systems
• Universal physics of three bosons with isospin
• Effective range from tetramer dissociation data for cesium atoms
• Core momentum distribution in two-neutron halo nuclei
• Breakdown of universality in few-boson systems
• Structure of exotic three-body systems
• A doorway to Borromean halo nuclei: the Samba configuration
• Trajectory of virtual, bound and resonant Efimov states
• Some applications of the Faddeev-Yakubovsky equations to the cold-atom physics
• Quantum Monte Carlo studies of a trimer scaling function with microscopic two- and three-body interactions
• Unexpected transparency in the scattering of fragile ${}^6$Li and ${}^6$He Nuclei
• Few-body techniques using momentum space for bound and continuum states
• Scaling limit analysis of Borromean halos
• Two- and three- dimensional few-body systems in the universal regime