Conditions for Efimov Physics for Finite Range Potentials

Abstract

We consider a system of three identical bosons near a Feshbach resonance in the universal regime with large scattering length usually described by model independent zero-range potentials. We employ the adiabatic hyperspherical approximation and derive the rigorous large-distance equation for the adiabatic potential for finite-range interactions. The effective range correction to the zero-range approximation must be supplemented by a new term of the same order. The non-adiabatic term can be decisive. Efimov physics is always confined to the range between effective range and scattering length. The analytical results agree with numerical calculations for realistic potentials.

4 pages, 2 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
• Feshbach resonances in ultracold K(39)
• Scattering Length Scaling Laws for Ultracold Three-Body Collisions
• Range Corrections to Three-Body Observables near a Feshbach Resonance
• Multi-channel scattering and Feshbach resonances: Effective theory, phenomenology, and many-body effects
• Regularization of a three-body problem with zero-range potentials

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• Efimov states near a Feshbach resonance and the limits of van der Waals universality at finite background scattering length
• Beyond universality in three-body recombination: an Effective Field Theory treatment
• Finite Range Effects in Energies and Recombination Rates of Three Identical Bosons
• Neutron${-}^{19}$C scattering: emergence of universal properties in a finite range potential
• Three-body recombination rates near a Feshbach resonance within a two-channel contact interaction model
• Efimov Trimers near the Zero-crossing of a Feshbach Resonance
• Window for Efimov physics for few-body systems with finite-range interactions
• Finite-range bias in fitting three-body loss to the zero-range model