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Related papers: Four-body Efimov effect

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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 third particle. We use a novel…

Atomic and Molecular Clusters · Physics 2020-08-03 E. R. Christensen , A. S. Jensen , E. Garrido

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 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

When two non-relativistic particles interact resonantly in three dimensions, an infinite tower of three-body bound states emerges, exhibiting a discrete scale invariance. This universal phenomenon, known as the Efimov effect, has garnered…

Quantum Gases · Physics 2026-04-16 Ning Sun , Lei Feng , Pengfei Zhang

We calculate the fourth cluster coefficients of the homogeneous unitary spin 1/2 Fermi gas as functions of the internal-state mass ratio, over intervals constrained by the 3- or 4-body Efimov effect. For this we use our 2016 conjecture…

Quantum Gases · Physics 2022-09-09 Shimpei Endo , Yvan Castin

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

Systems of three interacting particles are notorious for their complex physical behavior. A landmark theoretical result in few-body quantum physics is Efimov's prediction of a universal set of bound trimer states appearing for three…

Other Condensed Matter · Physics 2007-05-23 T. Kraemer , M. Mark , P. Waldburger , J. G. Danzl , C. Chin , B. Engeser , A. D. Lange , K. Pilch , A. Jaakkola , H. -C. Naegerl , R. Grimm

Efimov physics relates to 3-body systems with large 2-body scattering lengths a and small effective ranges r. For many systems in nature the assumption of a small effective range is not valid. The present report shows binding energies E of…

Nuclear Theory · Physics 2011-10-07 Sigurd Kohler

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 consider a three-particle quantum system in dimension three composed of two identical fermions of mass one and a different particle of mass $m$. The particles interact via two-body short range potentials. We assume that the Hamiltonians…

Mathematical Physics · Physics 2018-03-28 Giulia Basti , Alessandro Teta

Under certain circumstances, three or more interacting particles may form bound states. While the general few-body problem is not analytically solvable, the so-called Efimov trimers appear for a system of three particles with resonant…

Quantum Gases · Physics 2015-05-14 Scott E. Pollack , Daniel Dries , Randall G. Hulet

We study Efimov physics for three identical bosons interacting via a pairwise square-well potential, analyze the validity of the separable approximation as a function of the interaction strength, and investigate what is needed to improve…

Atomic Physics · Physics 2019-01-08 Paul M. A. Mestrom , Thomas Secker , Ronen Kroeze , Servaas Kokkelmans

When two particles attract via a resonant short-range interaction, three particles always form an infinite tower of bound states characterized by a discrete scaling symmetry. It has been considered that this Efimov effect exists only in…

Quantum Gases · Physics 2015-03-19 Yusuke Nishida , Shina Tan

Few-body systems with large scattering length have universal properties that do not depend on the details of their interactions at short distances. We study the universal bound state properties of the four-boson system with large scattering…

Nuclear Theory · Physics 2008-11-26 H. -W. Hammer , L. Platter

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

The structure of few-fermion systems having $1/2$ spin-isospin symmetry is studied using potential models. The strength and range of the two-body potentials are fixed to describe low energy observables in the angular momentum $L=0$ state…

Nuclear Theory · Physics 2016-03-23 A. Kievsky , M. Gattobigio

Equal mass fermionic trimers with two different spin components near the unitary limit are shown to possess a universal van der Waals bound or resonance state near $s$-wave unitarity, when $p$-wave interactions are included between the…

Atomic Physics · Physics 2025-11-25 Yu-Hsin Chen , Chris H. Greene

We study three- and four-body Efimov physics in a heteronuclear atomic system with three identical heavy bosonic atoms and one light atom. We show that exchange of the light atom between the heavy atoms leads to both three- and four-body…

Atomic Physics · Physics 2012-02-27 Yujun Wang , W. Blake Laing , Javier von Stecher , B. D. Esry

A non-relativistic system of three identical particles will display a rich set of universal features known as Efimov physics if the scattering length a is much larger than the range l of the underlying two-body interaction. An appropriate…

Other Condensed Matter · Physics 2009-11-13 Lucas Platter , Chen Ji , Daniel R. Phillips

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