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We study a one-dimensional quantum problem of two particles interacting with a third one via a scale-invariant subcritically attractive inverse square potential, which can be realized, for example, in a mixture of dipoles and charges…

Other Condensed Matter · Physics 2015-11-02 Sergej Moroz , José P. D'Incao , Dmitry S. Petrov

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

Few-body systems with large scattering length a have universal properties that do not depend on the details of their interactions at short distances. The rate constant for three-body recombination of bosonic atoms of mass m into a shallow…

Other Condensed Matter · Physics 2008-11-26 H. -W. Hammer , Timo A. Lahde , L. Platter

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

Cold inelastic collisions of atoms or molecules are analyzed using very general arguments. In free space, the deactivation rate can be enhanced or suppressed together with the scattering length of the corresponding elastic collision via a…

Atomic Physics · Physics 2007-05-23 V. A. Yurovsky , Y. B. Band

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

We use exact four-boson scattering equations in the momentum-space framework to study the universal properties of shallow Efimov tetramers and their dependence on the two-boson scattering length. We demonstrate that, in contrast to previous…

Atomic Physics · Physics 2011-08-23 A. Deltuva

Bound states and collisions of atoms with two-channel two-body interactions in harmonic waveguides are analyzed. The closed-channel contributions to two-atom bound states become dominant in the case of a weak resonance. At low energies and…

Atomic Physics · Physics 2007-05-23 V. A. Yurovsky

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

In a three-body system of identical bosons interacting through a large S-wave scattering length $a$, there are several sets of Efimov features related by discrete scale invariance. Effective field theory was recently used to derive…

Quantum Gases · Physics 2015-09-16 Chen Ji , Eric Braaten , Daniel R. Phillips , Lucas Platter

We explore the properties of weakly bound bosonic states in the strongly interacting regime. Combining a correlated-Gaussian (CG) basis set expansion with a complex scaling method, we extract the energies and structural properties of…

Quantum Gases · Physics 2015-05-28 Javier von Stecher

Physical systems characterized by a shallow two-body bound or virtual state are governed at large distances by a continuous-scale invariance, which is broken to a discrete one when three or more particles come into play. This symmetry…

Nuclear Theory · Physics 2022-10-05 A. Kievsky , L. Girlanda , M. Gattobigio , M. Viviani

We have analyzed our recently-measured three-body loss rate coefficient for a Bose-Einstein condensate of spin-polarized metastable triplet 4He atoms in terms of Efimov physics. The large value of the scattering length for these atoms,…

Quantum Gases · Physics 2012-12-18 S. Knoop , J. S. Borbely , W. Vassen , S. J. J. M. F. Kokkelmans

We study the three-body problem for three atomic fermions, in the same spin state, experiencing a resonant interaction in the p-wave channel via a Feshbach resonance represented by a two-channel model. The rate of inelastic processes due to…

Other Condensed Matter · Physics 2009-11-13 Mattia Jona-Lasinio , Ludovic Pricoupenko , Yvan Castin

Three bosons with large scattering length show universal properties that do not depend on the details of the interaction at short distances. In the three-boson system, these properties include a geometric spectrum of shallow three-body…

Nuclear Theory · Physics 2009-03-24 Simon Kreuzer , H. -W. Hammer

We investigate theoretically the combination of first-order quadrupole-quadrupole and second-order dipole-dipole effects on the long-range electrostatic interactions between a ground-state homonuclear alkali-metal dimer and an excited…

Quantum Physics · Physics 2017-04-19 Maxence Lepers , Olivier Dulieu

The two-body scattering length a for 4He atoms is much larger than their effective range r_s. As a consequence, low-energy few-body observables have universal characteristics that are independent of the interaction potential. Universality…

Condensed Matter · Physics 2009-11-07 Eric Braaten , H. -W. Hammer

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…

We study ultracold three-body collisions of bosons and fermions when the interatomic interaction is tuned near a narrow Feshbach resonance. We show that the width of the resonance has a substantial impact on the collisional properties of…

Quantum Physics · Physics 2011-05-04 Yujun Wang , J. P. D'Incao , B. D. Esry

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
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