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Atom-dimer scattering below the three-body break-up threshold is studied for a system of three identical bosons. The atom-dimer scattering length and the energy of the most weakly-bound three-body state are shown to be strongly correlated.…

Atomic and Molecular Clusters · Physics 2013-05-30 Vladimir Roudnev , Michael Cavagnero

We develop a diagrammatic approach for solving few-body problems in heteronuclear fermionic mixtures near a narrow interspecies Feshbach resonance. We calculate s-, p-, and d-wave phaseshifts for the scattering of an atom by a weakly-bound…

Quantum Gases · Physics 2011-12-01 J. Levinsen , D. S. Petrov

Motivated by a recent experiment by ENS group on the mixture of Bose and Fermi superfluids (arxiv:1404.2548), we investigate the effective scattering between a bosonic atom and a molecule(dimer) of fermion atoms. It is found that the…

Quantum Gases · Physics 2014-10-30 Xiaoling Cui

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

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 report the observation of a dimer-dimer inelastic collision resonance for ultracold Feshbach molecules made of bosonic sodium and rubidium atoms. This resonance, which we attribute to the crossing of the dimer-dimer threshold with a…

Quantum Gases · Physics 2019-08-16 Fudong Wang , Xin Ye , Mingyang Guo , D. Blume , Dajun Wang

Three-body systems with large scattering length display universal phenomena associated with a discrete scaling symmetry. These phenomena include resonant enhancement of three-body loss rates when an Efimov three-body resonance is at the…

Other Condensed Matter · Physics 2009-08-03 Kerstin Helfrich , H. -W. Hammer

We solve the three-body problem of an ultracold Fermi gas with parabolic confinement length $a_\perp$ and 3D scattering length $a$. On the two-body level, there is a Feshbach-type resonance at $a_\perp/a\approx 1.46$, and a dimer state for…

Statistical Mechanics · Physics 2007-05-23 C. Mora , R. Egger , A. O. Gogolin , A. Komnik

We consider the problem of a fixed impurity coupled to a small number $N$ of non-interacting bosons. We focus on impurity-boson interactions that are mediated by a closed-channel molecule, as is the case for tuneable interatomic…

Quantum Gases · Physics 2018-12-19 Shuhei M. Yoshida , Zhe-Yu Shi , Jesper Levinsen , Meera M. Parish

We study the three-body problem for both fermionic and bosonic cold atom gases in a parabolic transverse trap of lengthscale $a_\perp$. For this quasi-one-dimensional (1D) problem, there is a two-body bound state (dimer) for any sign of the…

Statistical Mechanics · Physics 2007-05-23 C. Mora , R. Egger , A. O. Gogolin

The four-body problem for an interacting two-species Fermi gas is solved analytically in a confined quasi-one-dimensional geometry, where the two-body atom-atom scattering length $a_{aa}$ displays a confinement-induced resonance. We compute…

Statistical Mechanics · Physics 2007-05-23 C. Mora , A. Komnik , R. Egger , A. O. Gogolin

We discuss effective field theory treatments of the problem of three particles interacting via short-range forces (range R >> a_2, with a_2 the two-body scattering length). We show that forming a once-subtracted scattering equation yields a…

Other Condensed Matter · Physics 2009-04-17 L. Platter , D. R. Phillips

Motivated by recent experimental progresses, we investigate few-body properties of interacting spinless bosons nearby a d-wave resonance. Using the Skorniakov-Ter-Martirosion (STM) equations, we calculate the scattering length between an…

Quantum Gases · Physics 2019-01-09 Juan Yao , Pengfei Zhang , Ran Qi , Hui Zhai

In this letter we study the interaction energy in a mixture of Bose and Fermi superfluids realized in recent cold atom experiment. On the Bose-Einstein-condensate (BEC) side of a Feshbach resonance between fermionic atoms, this interaction…

Quantum Gases · Physics 2014-12-24 Ren Zhang , Wei Zhang , Hui Zhai , Peng Zhang

We use the zero-range approximation to study a system of two identical bosons interacting resonantly with a third particle. The method is derived from effective field theory. It reduces the three-body problem to an integral equation which…

Quantum Gases · Physics 2010-05-26 K. Helfrich , H. -W. Hammer , D. S. Petrov

We consider collisional properties of weakly bound heteronuclear molecules (dimers) formed in a two-species mixture of atoms with a large mass difference. We focus on dimers containing light fermionic atoms as they manifest collisional…

Statistical Mechanics · Physics 2008-03-15 B. Marcelis , S. J. J. M. F. Kokkelmans , G. V. Shlyapnikov , D. S. Petrov

We experimentally and theoretically study the effect of the intraspecies scattering length onto the heteronuclear Efimov scenario, following up on our earlier observation of Efimov resonances in an ultracold Cs-Li mixture for negative…

We analytically study the atom-dimer scattering problem in the near-integrable limit when the oscillator length l_0 of the transverse confinement is smaller than the dimer size, ~l_0^2/|a|, where a<0 is the interatomic scattering length.…

Quantum Gases · Physics 2012-06-29 D. S. Petrov , V. Lebedev , J. T. M. Walraven

We discuss the three-body properties of identical bosons exhibiting large scattering length in two spatial dimensions. Within an effective field theory for resonant interactions, we calculate the leading non-universal corrections from the…

Quantum Gases · Physics 2015-03-17 K. Helfrich , H. -W. Hammer

We consider a three-boson system with resonant binary interactions and show that three-body observables depend only on the resonance width and the scattering length. The effect of narrow resonances is qualitatively different from that of…

Statistical Mechanics · Physics 2007-05-23 D. S. Petrov
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