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Two-component Fermi and Bose gases with infinitely large interspecies s-wave scattering length $a_s$ exhibit a variety of intriguing properties. Among these are the scale invariance of two-component Fermi gases with equal masses, and the…

Quantum Gases · Physics 2015-05-20 D. Blume , K. M. Daily

We present a work which is meant to inspire the few-body practitioners to venture into the study of new, more exotic, systems and to hadron physicists, working mostly on two-body problems, to move in the direction of studying related…

Nuclear Theory · Physics 2020-10-28 A. Martinez Torres , K. P. Khemchandani , L. Roca , E. Oset

We discuss the prospects for observing the characteristic features of the Efimov effect in a two-component ultracold atomic gas near an interspecies Feshbach resonance. In the ultracold regime, the Efimov effect is expected to be manifested…

Other Condensed Matter · Physics 2009-11-11 J. P. D'Incao , B. D. Esry

When the scattering length is proportional to the distance from the center of the system, two particles are shown to be trapped about the center. Furthermore, their spectrum exhibits discrete scale invariance, whose scale factor is…

Quantum Gases · Physics 2015-03-20 Yusuke Nishida , Dean Lee

We review some unresolved theoretical issues in three-dimensional two-component Fermi gases, drawing on recent experiments on cold atoms in immaterial traps close to a magnetic Feshbach resonance. We distinguish successively (i) the open…

Quantum Gases · Physics 2025-05-20 Yvan Castin

The occurrence of a new limit cycle in few-body physics, expressing a universal scaling function relating the binding energies of two consecutive tetramer states, is revealed, considering a renormalized zero-range two-body interaction…

Atomic and Molecular Clusters · Physics 2011-10-26 M. R. Hadizadeh , M. T. Yamashita , Lauro Tomio , A. Delfino , T. Frederico

The quantum-mechanical three-body problem is one of the fundamental challenges of few-body physics. When the two-body interactions become resonant, an infinite series of universal three-body bound states is predicted to occur, whose…

We solve the three-body bound state problem in three dimensions for mass imbalanced systems of two identical bosons and a third particle in the universal limit where the interactions are assumed to be of zero-range. The system displays the…

Quantum Gases · Physics 2013-06-21 M. T. Yamashita , F. F. Bellotti , T. Frederico , D. V. Fedorov , A. S. Jensen , N. T. Zinner

While Efimov physics in ultracold atoms is usually modeled with an isolated Feshbach resonance many real world resonances appear in close vicinity to each other and are therefore overlapping. Here we derive a realistic model based on the…

Quantum Gases · Physics 2021-06-16 Yaakov Yudkin , Lev Khaykovich

In a three-body system of identical bosons interacting through a large S-wave scattering length $a$, there are several sets of Efimov features related by discrete scale invariance. Effective field theory was recently used to derive…

Quantum Gases · Physics 2015-09-16 Chen Ji , Eric Braaten , Daniel R. Phillips , Lucas Platter

A universal dimer is subject to secondary collisions with atoms when formed in a cloud of ultracold atoms via three-body recombination. We show that in a collisionally opaque medium, the value of the scattering length that results in the…

Quantum Gases · Physics 2012-04-17 Olga Machtey , David A. Kessler , Lev Khaykovich

Four-boson Efimov physics is well known in the negative energy regime but far less above the four-body breakup threshold. The part of this region with negative two-boson scattering length is studied solving rigorous four-particle scattering…

Nuclear Theory · Physics 2021-06-30 A. Deltuva

We use a minimal zero-range model for describing the bound state spectrum of three-body states consisting of two Cesium and one Lithium atom. Using a broad Feshbach resonance model for the two-body interactions, we show that recent…

Quantum Gases · Physics 2015-03-06 N. T. Zinner , N. G. Nygaard

Since the Efimov effect was introduced in 1970, a detailed theoretical understanding of Efimov physics has been developed in the few-body context. However, it has proven to be challenging to describe the role Efimov-type correlations play…

Quantum Gases · Physics 2022-08-19 Arthur Christianen , J. Ignacio Cirac , Richard Schmidt

Efimov states are a sequence of shallow three-body bound states that arise when the two-body scattering length is much larger than the range of the interaction. The binding energies of these states are described as a function of the…

Quantum Gases · Physics 2019-06-18 M. Gattobigio , M. Göbel , H. -W. Hammer , A. Kievsky

In quantum physics, Efimov trimers are bound states of three particles that fall apart like Borromean rings when one of them is removed. Initially predicted in nuclear physics, these striking bosonic states are hard to observe, but the…

Quantum Gases · Physics 2014-05-06 Swann Piatecki , Werner Krauth

Efimov's prediction more than three decades ago that three-body bound states can exist when the pairwise attractions do not bind or only support weakly bound states of a pair, has remained unconfirmed till just the past year. This lecture…

Quantum Physics · Physics 2007-06-11 A. R. P. Rau

We analyse the change in the hyperradial Efimovian three-body potential as the two-body interaction is tuned from the broad to narrow Feshbach resonance regime. Here, it is known from both theory and experiment that the three-body…

Quantum Gases · Physics 2023-09-15 J. van de Kraats , D. J. M. Ahmed-Braun , J. -L. Li , S. J. J. M. F. Kokkelmans

The Efimov effect is an intriguing three-body quantum phenomenon. Searching for Efimov states within the realms of nuclear and hadronic physics presents a challenge due to the inherent inability of natural physical systems to exhibit…

High Energy Physics - Phenomenology · Physics 2025-06-11 Hai-Long Fu , Yong-Hui Lin , Feng-Kun Guo , Hans-Werner Hammer , Ulf-G. Meißner , Akaki Rusetsky , Xu Zhang

Efimov physics refers to universal phenomena associated with a discrete scaling symmetry in the 3-body problem with a large scattering length. The first experimental evidence for Efimov physics was the recent observation of a resonant peak…

Other Condensed Matter · Physics 2009-03-13 Eric Braaten , H. -W. Hammer