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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

In this work we investigate small clusters of bosons using the hyperspherical harmonic basis. We consider systems with $A=2,3,4,5,6$ particles interacting through a soft inter-particle potential. In order to make contact with a real system,…

Atomic and Molecular Clusters · Physics 2012-11-16 M. Gattobigio , A. Kievsky , M. Viviani

Efimov effect is characterized by an infinite number of three-body bound states following a universal geometric scaling law at two-body resonances. In this paper, we investigate the influence of two-body loss which can be described by a…

Quantum Gases · Physics 2024-09-27 Mingyuan Sun , Chang Liu , Zhe-Yu Shi

Continuum structures of three short-range interacting particles in a deformed external one-body field are investigated. We use the equivalent $d$-method employing non-integer dimension, $d$, in a spherical calculation with a…

Atomic Physics · Physics 2022-07-20 E. Garrido , E. R. Christensen , A. S. Jensen

Experimental studies with ultracold atoms have enabled major breakthroughs in understanding three-body physics, historically a fundamental yet challenging problem. This is because the interactions among ultracold atoms can be precisely…

Atomic Physics · Physics 2014-11-05 Yujun Wang , Paul S. Julienne

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 study the semisuper-Efimov effect, which is found for four identical bosons with a resonant three-body interaction in 2D, in various systems. Based on solutions of bound-state and renormalization-group equations, we first demonstrate an…

Quantum Gases · Physics 2020-02-19 Yusuke Horinouchi

We consider a system of three identical bosons near a Feshbach resonance in the universal regime with large scattering length usually described by model independent zero-range potentials. We employ the adiabatic hyperspherical approximation…

Quantum Physics · Physics 2009-09-28 M. Thøgersen , D. V. Fedorov , A. S. Jensen , B. D. Esry , Yujun Wang

We consider one-dimensional tubes containing bosonic polar molecules. The long-range dipole-dipole interactions act both within a single tube and between different tubes. We consider arbitrary values of the externally aligned dipole moments…

Quantum Gases · Physics 2013-04-30 A. G. Volosniev , J. R. Armstrong , D. V. Fedorov , A. S. Jensen , M. Valiente , N. T. Zinner

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 explore the effect of a finite two-body energy in the discrete scale symmetry regime of two heavy bosonic impurities immersed in a light bosonic system. By means of the Born-Oppenheimer approximation in non-integer dimensions $(D)$, we…

Recent measurements of Efimov resonances in a number of ultracold atom species have revealed an unexpected universality, in which three-body scattering properties are determined by the van der Waals length of the two-body interaction…

Quantum Gases · Physics 2013-09-12 Ruth S. Bloom , Ming-Guang Hu , Tyler D. Cumby , Deborah S. Jin

Resonant P-wave interactions can be described by a minimal zero-range model defined by a truncated effective range expansion, so that the only 2-body interaction parameters are the inverse scattering volume 1/a_P and the P-wave effective…

Quantum Gases · Physics 2012-08-20 Eric Braaten , P. Hagen , H. -W. Hammer , L. Platter

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

A quantum-mechanical description is presented for the three-body physics of shielded dipolar molecules, including a prediction of observable Efimov physics. Despite the anisotropic and long-range nature of the interaction, shielding enables…

Atomic Physics · Physics 2026-02-26 Shayamal Singh , Chris H. Greene

We investigate the effects of the nearly fulfilled Efimov conditions on the properties of three-body resonances. Using the hyper-spheric adiabatic expansion method we compute energy distributions of fragments in a three-body decay of a…

Nuclear Theory · Physics 2009-11-11 E. Garrido , D. V. Fedorov , A. S. Jensen

Motivated by recent experimental investigations of Cs-Cs-Li Efimov resonances, this work theoretically investigates the few-body properties of $N-1$ non-interacting identical heavy bosons, which interact with a light impurity through a…

Quantum Gases · Physics 2015-06-23 D. Blume , Yangqian Yan

We report recent advances on the study of universal weakly bound four-boson states from the solutions of the Faddeev-Yakubovsky equations with zero-range two-body interactions. In particular, we present the correlation between the energies…

Quantum Gases · Physics 2014-02-26 T. Frederico , A. Delfino , M. R. Hadizadeh , L. Tomio , M. T. Yamashita

We show the existence of Borromean bound states in a one-dimensional quantum three-body system composed of two identical bosons and a distinguishable particle. It is assumed that there is no interaction between the two bosons, while the…

Quantum Physics · Physics 2024-05-24 Tobias Schnurrenberger , Lucas Happ , Maxim A. Efremov

We consider a system of $N$ pairwise interacting particles described by the Hamiltonian $H$, where $\sigma_{ess} (H) = [0,\infty)$ and none of the particle pairs has a zero energy resonance. The pair potentials are allowed to take both…

Mathematical Physics · Physics 2013-04-18 Dmitry K. Gridnev