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Near a Feshbach resonance, the two-body scattering length can assume any value. When it approaches zero, the next-order term given by the effective range is known to diverge. We consider the question of whether this divergence (and the…

Quantum Gases · Physics 2013-04-19 N. T. Zinner

A study of the universal physics for three oriented fermionic dipoles in the hyperspherical adiabatic representation predicts a single long-lived three-dipole state, which exists in only one three-body symmetry, should form near a…

Atomic Physics · Physics 2011-11-30 Yujun Wang , J. P. D'Incao , Chris H. Greene

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

This review article presents historical developments and recent advances in our understanding on the three-body forces and Efimov physics, from an interdisciplinary viewpoint encompassing nuclear physics and cold atoms. Theoretical attempts…

Recent cold atom experiments report a surprising universal scaling of the first Efimov resonance position a_{-}^1 by the two-body van der Waals length r_{vdW}. The ratio C=-a_{-}^1/r_{vdW}=8.5~9.5 for identical particles appears to be a…

Quantum Gases · Physics 2011-11-21 Cheng Chin

We report on the measurement of four-body recombination rate coefficients in an atomic gas. Our results obtained with an ultracold sample of cesium atoms at negative scattering lengths show a resonant enhancement of losses and provide…

Other Condensed Matter · Physics 2009-11-13 F. Ferlaino , S. Knoop , M. Berninger , W. Harm , J. P. D'Incao , H. -C. Nägerl , R. Grimm

We calculated, using seven realistic 4He-4He potentials in the literature, the Efimov spectra of the 4He trimer and tetramer and analyzed the universality of the systems. The three-(four-)body Schroedinger equations were solved fully…

Quantum Gases · Physics 2014-11-20 E. Hiyama , M. Kamimura

Ultracold atomic gases are an important testing ground for understanding few-body physics. In particular, these systems enable a detailed study of the Efimov effect. We use ultracold $^{39}\mathrm{K}$ to investigate the temperature…

The spectral flow of three-body (trimer) states consisting of two heavy (impurity) particles sitting in a condensate of light bosons is considered. Assuming that the condensate is weakly interaction and that an impurity and a boson have a…

Quantum Gases · Physics 2014-09-24 N. T. Zinner

The mass-imbalanced three-body recombination process that forms a shallow dimer is shown to possess a rich Efimov-St\"uckelberg landscape, with corresponding spectra that differ fundamentally from the homonuclear case. A semi-analytical…

Quantum Gases · Physics 2018-01-17 P. Giannakeas , Chris H. Greene

The two-channel model for bosons with the three-body interaction is proposed. Similar to the Hamiltonian describing narrow Feshbach resonance in the two-body sector, our model includes the finite-range effects of the three-body potential…

Quantum Gases · Physics 2025-06-24 V. Polkanov , O. Hryhorchak , V. Pastukhov

We describe three-body collisions close to a Feshbach resonance by taking into account two-body scattering processes involving both the open and the closed channel. We extract the atom-dimer scattering length and the three-body…

Other Condensed Matter · Physics 2014-11-17 P. Massignan , H. T. C. Stoof

Using the framework of effective field theory, we present a detailed study of the Efimov effect in higher partial waves for systems of two identical particles and a third distinguishable particle. Depending on the total angular momentum…

Quantum Gases · Physics 2015-05-28 K. Helfrich , H. -W. Hammer

The universal properties of charged particles are modified by the presence of a long-range Coulomb interaction. We investigate the modification of Efimov universality as a function of the Coulomb strength using the Gaussian expansion…

Nuclear Theory · Physics 2019-06-10 C. H. Schmickler , H. -W. Hammer , E. Hiyama

Unstable four-boson states having an approximate dimer-atom-atom structure are studied using momentum-space integral equations for the four-particle transition operators. For a given Efimov trimer the universal properties of the lowest…

Atomic Physics · Physics 2012-11-13 A. Deltuva

We investigate the $s$-wave three-body system of two neutrons and one flavored meson with total spin-isospin $J=0,I=3/2$. The meson-neutron scattering length can become infinitely large in an unphysical region of the quark mass when…

Nuclear Theory · Physics 2018-09-19 Udit Raha , Yuki Kamiya , Shung-Ichi Ando , Tetsuo Hyodo

Armed with a new solution to the four-body problem, we reanalyze the recent Innsbruck observation of an Efimov resonance in three-body collisions of cesium atoms, and show that it provides evidence of new, universal four-body physics as…

Atomic Physics · Physics 2009-06-02 Javier von Stecher , Jose P. D'Incao , Chris H. Greene

We study the interspecies scattering properties of ultracold Li-Cs mixtures in their two energetically lowest spin channels in the magnetic field range between 800 G and 1000 G. Close to two broad Feshbach resonances we create weakly bound…

Quantum Gases · Physics 2015-05-19 J. Ulmanis , S. Häfner , R. Pires , E. D. Kuhnle , M. Weidemüller , E. Tiemann

We study the Efimov states in highly mass-imbalanced three-body systems composed of two identical heavy atoms and one light atom, focusing on the Er-Er-Li and Dy-Dy-Li cold-atom mixtures with strong dipole-dipole interactions between the…

Quantum Gases · Physics 2025-09-15 Kazuki Oi , Shimpei Endo

The quantum mechanics of three interacting particles gives rise to interesting universal phenomena, such as the staircase of Efimov trimers predicted in the context of nuclear physics and observed in ultracold gases. Here, we observe a…