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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 study the three-body scattering hypervolume $D$ of atoms whose scattering length $a$ is on the order of or smaller than the typical range $r_{\mathrm{vdW}}$ of the van der Waals attraction. We find that the real part of $D$ behaves…

The low-energy scattering of three bosons or distinguishable particles with short-range interactions is characterized by a fundamental parameter, the three-body scattering hypervolume. Its imaginary part is directly related to the…

Quantum Gases · Physics 2017-10-12 Shangguo Zhu , Shina Tan

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

Within the universal zero-range theory, we compute the three-body recombination rate to deep molecular states for two identical bosons resonantly interacting with each other and with a third atom of another species, in the absence of weakly…

Quantum Gases · Physics 2015-08-27 D. S. Petrov , F. Werner

Here we present a four-channel model that incorporates a magnetically tunable Feshbach resonance in a system of three atoms that interact via pairwise van der Waals interactions. Our method is designed to model recent experiments where the…

Atomic Physics · Physics 2023-06-14 Kajsa-My Tempest , Svante Jonsell

We study Efimov resonances via three-body loss in an ultracold two-component gas of fermionic $^6$Li and bosonic $^{133}$Cs atoms close to a Feshbach resonance at 843~G, extending results reported previously [Pires \textit{et al.}, Phys.…

Quantum Gases · Physics 2016-05-02 J. Ulmanis , S. Häfner , R. Pires , F. Werner , D. S. Petrov , E. D. Kuhnle , M. Weidemüller

We investigate one-dimensional three-body systems composed of two identical bosons and one imbalanced atom (impurity) with two-body and three-body zero-range interactions. For the case in the absence of three-body interaction, we give a…

Quantum Gases · Physics 2021-09-08 Yanxia Liu , Yi-Cong Yu , Shu Chen

We study the Schr\"{o}dinger equation with $1/r^3$ and attractive $1/r^2$ potentials. Using the quantum defect theory, we obtain analytical solutions for both repulsive and attractive $1/r^3$ interactions. The obtained…

Quantum Gases · Physics 2026-01-28 Yuki Ohishi , Kazuki Oi , Shimpei Endo

An effective field theory developed for systems interacting through short-range interactions can be applied to systems of cold atoms with a large scattering length and to nucleons at low energies. It is therefore the ideal tool to analyze…

Nuclear Theory · Physics 2013-09-09 L. Platter

The particle exchange model of hadron interactions can be used to describe three-body scattering under the isobar assumption. In this study we start from the 3->3 scattering amplitude for spinless particles, which contains an…

Nuclear Theory · Physics 2017-09-12 M. Mai , B. Hu , M. Doring , A. Pilloni , A. Szczepaniak

We investigate the occurrence of Borromean three-body continuum s-wave resonances, in an $\alpha\alpha\beta$ system for large negative two-body scattering lengths. The energy and width are determined by a scaling function with arguments…

Quantum Gases · Physics 2015-03-17 F. Bringas , M. T. Yamashita , T. Frederico , L. Tomio

We present a method for treatment of three charged particles. The proposed method has universal character and is applicable both for bound and continuum states. A finite rank approximation is used for Coulomb potential in three-body system…

Nuclear Theory · Physics 2010-12-16 Vladimir B. Belyaev , Andrey A. Naumkin

We study the three-body problem in one dimension for both zero and finite range interactions using the adiabatic hyperspherical approach. Particular emphasis is placed on the threshold laws for recombination, which are derived for all…

Quantum Physics · Physics 2009-11-13 N. P. Mehta , B. D. Esry , C. H. Greene

We derive an analytic formula which describes the final bound state dependence in ultracold three-body recombination. Using an energy-dependent loss parameter, the recently observed broad resonance in an ultracold gas of $^{6}$Li atoms [T.…

Atomic Physics · Physics 2015-05-18 Seth T. Rittenhouse

We prove that the corner angle distributions in the bound three-body system AAB, which consists of two particles of type A and one particle of type B, approach universal form if the pair AA has a virtual state at zero energy and the binding…

Nuclear Theory · Physics 2016-04-21 Dmitry K. Gridnev , Dario Bressanini

We give a detailed and self-contained description of a recently developed theoretical and numerical method for the simulation of three identical bosonic alkali-metal atoms near a Feshbach resonance, where the Efimov effect is induced. The…

Quantum Gases · Physics 2024-09-18 J. van de Kraats , S. J. J. M. F. Kokkelmans

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

Quantum theory dictates that upon weakening the two-body interaction in a three-body system, an infinite number of three-body bound states of a huge spatial extent emerge just before these three-body states become unbound. Three helium…

We experimentally investigate the unitarity-limited behavior of the three-body loss near a p-wave Feshbach resonance in a single-component Fermi gas of $^6$Li atoms. At the unitarity limit, the three-body loss coefficient $L_{3}$ exhibits…

Quantum Gases · Physics 2018-08-15 Muhammad Waseem , Jun Yoshida , Taketo Saito , Takashi Mukaiyama
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