Efimov effect in $D$ spatial dimensions in $AAB$ systems

Abstract

The existence of the Efimov effect is drastically affected by the dimensionality of the space in which the system is embedded. The effective spatial dimension containing an atomic cloud can be continuously modified by compressing it in one or two directions. In the present article we determine for a general $AAB$ system formed by two identical bosons $A$ and a third particle $B$ in the two-body unitary limit, the dimensionsality $D$ for which the Efimov effect can exist for different values of the mass ratio $\mathpzc{A}=m_B/m_A$. In addition, we provide a prediction for the Efimov discrete scaling factor, $\exp (\pi /s)$, as a function of a wide range of values of $\mathpzc{A}$ and $D$, which can be tested in experiments that can be realized with currently available technology.

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Cited by in corpus (20)

• Conformality Lost in Efimov Physics
• Few-body quantum method in a $d$-dimensional space
• Confinement of two-body systems and calculations in $d$ dimensions
• Efimov effect in a $D$-dimensional Born-Oppenheimer approach
• Three identical bosons: Properties in non-integer dimensions and in external fields
• Efimov states of three unequal bosons in non-integer dimensions
• D-dimensional three-body bound-state problem with zero range interactions
• Efimov effect in non-integer dimensions induced by an external field
• Cold atom-dimer reaction rates with ${}^4$He, ${}^{6,7}$Li and ${}^{23}$Na
• Universality of excited three-body bound states in one dimension
• Efimov resonance position near a narrow Feshbach resonance in ${}^6$Li-${}^{133}$Cs mixture
• Three-body continuum states and Efimov physics in non-integer geometry
• Second root of dilute Bose-Fermi mixtures
• Correlated Gaussian Approach to Anisotropic Resonantly Interacting Few-Body Systems
• Confinement of $N$-body systems and non-integer dimensions
• Dimensional effects in Efimov physics
• Two-body continuum states in non-integer geometry
• Emergence of N-body tunable interactions in universal few-atom system
• Few-body techniques using momentum space for bound and continuum states
• Reliability of the Born-Oppenheimer approximation in noninteger dimensions