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We show that many aspects of ultracold three-body collisions can be controlled by choosing the mass ratio between the collision partners. In the ultracold regime, the scattering length dependence of the three-body rates can be substantially…

Atomic Physics · Physics 2009-11-11 J. P. D'Incao , B. D. Esry

We consider a heteronuclear fermionic mixture on the molecular side of an interspecies Feshbach resonance and discuss atom-dimer scattering properties in uniform space and in the presence of an external confining potential, restricting the…

Quantum Gases · Physics 2013-05-29 J. Levinsen , T. G. Tiecke , J. T. M. Walraven , D. S. Petrov

A high-precision experiment in search of the predicted Efimov state in $^{12}\mathrm{C}$ at 7.458 MeV excitation energy was performed. Using a state-of-the-art detector system and novel analysis techniques, it was possible to observe the…

Nuclear Experiment · Physics 2025-07-08 A. Baishya , S. Santra , T. Singh , P. C. Rout , A. Pal , H. Kumawat , T. Santhosh , P. Taya , M. Meher , Jyotisankar Das

We study the behavior of weakly bound clusters and their relation to the well-known three-body Efimov states. We adopt a model to describe universal behavior of strongly interacting bosonic systems, and we test its validity by reproducing…

Quantum Gases · Physics 2010-05-10 Javier von Stecher

We discuss our recent observation of an atom-dimer Efimov resonance in an ultracold mixture of Cs atoms and Cs_2 Feshbach molecules [Nature Phys. 5, 227 (2009)]. We review our experimental procedure and present additional data involving a…

Quantum Gases · Physics 2010-01-01 S. Knoop , F. Ferlaino , M. Berninger , M. Mark , H. -C. Nägerl , R. Grimm

Few-body systems with access to multiple internal levels exhibit richness beyond that typically found in their single-level counterparts. One example is that of Efimov states in strongly-correlated spinor three-body systems. In [V. E.…

Quantum Physics · Physics 2016-04-08 V. E. Colussi , Chris H. Greene , J. P. D'Incao

We calculate the structure of three-body hypernuclei with $S=-1$ using pionless effective field theory at leading order in the isospin $I=0$ and $I=1$ sectors. In both sectors, three-body hypernuclei arise naturally from the Efimov effect…

Nuclear Theory · Physics 2020-07-16 F. Hildenbrand , H. -W. Hammer

We give exact integral expressions of the third cluster or virial coefficients of binary mixtures of ideal Bose or Fermi gases, with interspecies interactions of zero range and infinite s-wave scattering length. In general the result…

Quantum Gases · Physics 2024-01-25 Shimpei Endo , Yvan Castin

We report on observations and modeling of interspecies magnetic Feshbach resonances in dilute ultracold mixtures of open-shell alkali-metal $^6$Li and closed-shell $^{173}$Yb atoms with temperatures just above quantum degeneracy for both…

Particles with resonant short-range interactions have universal properties that do not depend on the details of their structure or their interactions at short distances. In the three-body system, these properties include the existence of a…

Nuclear Theory · Physics 2011-02-14 H. -W. Hammer , L. Platter

We study a system of spinless fermions in two dimensions with a short-range interaction fine-tuned to a p-wave resonance. We show that three such fermions form an infinite tower of bound states of orbital angular momentum l=\pm1 and their…

Quantum Gases · Physics 2013-06-07 Yusuke Nishida , Sergej Moroz , Dam Thanh Son

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

We consider either 3 spinless bosons or 3 equal mass spin-1/2 fermions, interacting via a short range potential of infinite scattering length and trapped in an isotropic harmonic potential. For a zero-range model, we obtain analytically the…

Other Condensed Matter · Physics 2016-08-16 Félix Werner , Yvan Castin

A Fermi-Fermi mixture of 40K and 6Li does not exhibit the Efimov effect in a free space, but the Efimov effect can be induced by confining only 40K in one dimension. Here the Efimov's three-body parameter is controlled by the confinement…

Other Condensed Matter · Physics 2009-06-02 Yusuke Nishida , Shina Tan

We use the diagrammatic $T$-matrix approach to analyze the three-body scattering problem between two identical fermions and a third particle (which could be a different species of fermion or a boson). We calculate the s-wave dimer-atom…

Quantum Gases · Physics 2015-05-18 M. Iskin

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

These lectures contain a theoretical introduction to the few-body problem with short-range resonant binary interactions. In the first part we discuss the effective range expansion for the two-body scattering amplitude emphasizing the role…

Quantum Gases · Physics 2015-03-20 D. S. Petrov

The stabilization of Cooper pairs of bound electrons in the background of a Fermi sea is the origin of superconductivity and the paradigmatic example of the striking influence of many-body physics on few-body properties. In the…

Quantum Gases · Physics 2014-02-25 Nicolai Gayle Nygaard , Nikolaj Thomas Zinner

We calculate the spectrum of three-body Efimov bound states near a Feshbach resonance within a model which accounts both for the finite range of interactions and the presence of background scattering. The latter may be due to direct…

Quantum Gases · Physics 2018-04-03 Christian Langmack , Richard Schmidt , Wilhelm Zwerger

Ultracold atomic gases provide a controllable system to study the inelastic processes for three-body systems, where the three-body recombination rate depends on the scattering length scaling. Such scalings have been confirmed in bosonic…

Quantum Gases · Physics 2023-10-24 Jiaming Li , Shuai Peng , Yirou Xu , Shiyin Kuang , Le Luo
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