# Efimov effect in D spatial dimensions in AAB systems

@article{Rosa2017EfimovEI, title={Efimov effect in D spatial dimensions in AAB systems}, author={D. S. Rosa and Tobias Frederico and Gast{\~a}o I. Krein and M. T. Yamashita}, journal={Physical Review A}, year={2017}, volume={97}, pages={5} }

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 continuosly modified by compressing it in one or two directions. In the present paper we determine, for a general $AAB$ system formed by two identical bosons $A$ and a third particle $B$, the dimensionsality $D$ for which the Efimov effect can exist for different values of the mass ratio $\mathpzc{A}=m_B…

## 18 Citations

### Dimensional Effects in Efimov Physics

- PhysicsFew-Body Systems
- 2019

Efimov physics is drastically affected by the change of spatial dimensions. Efimov states occur in a tridimensional (3D) environment, but disappear in two (2D) and one (1D) dimensions. In this paper,…

### Efimov effect in a D-dimensional Born–Oppenheimer approach

- PhysicsJournal of Physics B: Atomic, Molecular and Optical Physics
- 2018

We study a three-body system, formed by two identical heavy bosons and a light particle, in the Born–Oppenheimer approximation for an arbitrary dimension D. We restrict D to the interval 2 < D < 4,…

### Three identical bosons: Properties in noninteger dimensions and in external fields

- Physics
- 2020

Three-body systems that are continuously squeezed from a three-dimensional (3D) space into a two-dimensional (2D) space are investigated. Such a squeezing can be obtained by means of an external…

### Conformality lost in Efimov physics

- PhysicsPhysical Review A
- 2018

A general mechanism for the loss of conformal invariance is the merger and disappearance of an infrared fixed point and an ultraviolet fixed point of a renormalization group flow. We show explicitly…

### Efimov States of Three Unequal Bosons in Non-integer Dimensions

- PhysicsFew-Body Systems
- 2018

The Efimov effect for three bosons in three dimensions requires two infinitely large s-wave scattering lengths. We assume two identical particles with very large scattering lengths interacting with a…

### Emergence of N-Body Tunable Interactions in Universal Few-Atom Systems

- Physics
- 2020

A three-atom molecule AAB, formed by two identical bosons A and a distinct one B, is studied by considering coupled channels close to a Feshbach resonance. It is assumed that the subsystems AB and AA…

### Efimov resonance position near a narrow Feshbach resonance in $^6$Li-$^{133}$Cs mixture

- Physics
- 2022

In the vicinity of a narrow Feshbach resonances Efimov features are expected to be characterized by the resonance’s properties rather than the van der Waals length of the interatomic potential.…

### Cold-atom–dimer reaction rates with He4, Li6,7 , and Na23

- PhysicsPhysical Review A
- 2020

Atom-dimer exchange and dissociation reaction rates are predicted for different combinations of two $^4$He atoms and one of the alkaline species among $^{6}$Li, $^{7}$Li and $^{23}$Na, by using…

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