Regularization of a three-body problem with zero-range potentials

Abstract

We propose a coordinate-space regularization of the three-body problem with zero-range potentials. We include the effective range and the shape parameter in the boundary condition of the zero-range potential. The proposed extended zero-range model is tested against atomic helium trimers and is shown to provide an adequate quantitative description of these systems.

Cited by in corpus (30)

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• Scaling limit of virtual states of triatomic systems
• Efimov states near a Feshbach resonance
• Effective theories of scattering with an attractive inverse-square potential and the three-body problem
• Ultracold three-body collisions near narrow Feshbach resonances
• Two-body correlations in N-body boson systems
• Renormalisation-group analysis of repulsive three-body systems
• Three-body recombination of two-component cold atomic gases into deep dimers in an optical model
• Correlated N-boson systems for arbitrary scattering length
• Classification of three-body quantum halos
• Finite Range Effects in Energies and Recombination Rates of Three Identical Bosons
• Conditions for Efimov Physics for Finite Range Potentials
• Efimov Trimers in a Harmonic Potential
• Three-body recombination rates near a Feshbach resonance within a two-channel contact interaction model
• Two-body quench dynamics of harmonically trapped interacting particles
• Exact solution of the three-boson problem at vanishing energy
• Semi-analytic Faddeev solution to the $N$-boson problem with zero-range interactions
• Momentum-space probability density of ${}^6$He in Halo Effective Field Theory
• Differential Form of the Skornyakov--Ter-Martirosyan Equations
• Quench dynamics of mass-imbalanced three-body fermionic systems in a spherical trap
• Temperature dependence of an Efimov resonance in ${}^{39}\mathrm{K}$
• Analytic expression for three-body recombination rates into deep dimers
• Tuning of Efimov states in non-integer dimensions
• Energetics of three interacting mass-imbalanced bodies in a three-dimensional spherical harmonic trap
• Efimov Trimers near the Zero-crossing of a Feshbach Resonance
• Effects of Efimov states on quench dynamics in a three-boson trapped system
• Log-Periodic Oscillations in the Photo Response of Efimov Trimers
• Photoassociation of Universal Efimov Trimers
• Finite-range bias in fitting three-body loss to the zero-range model