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We study clusters of the type A$_N$B$_M$ with $N\leq M\leq 3$ in a two-dimensional mixture of A and B bosons, with attractive AB and equally repulsive AA and BB interactions. In order to check universal aspects of the problem, we choose two…

Quantum Gases · Physics 2020-04-15 G. Guijarro , G. E. Astrakharchik , J. Boronat , B. Bazak , D. S. Petrov

The occurrence of a new limit cycle in few-body physics, expressing a universal scaling function relating the binding energies of two consecutive tetramer states, is revealed, considering a renormalized zero-range two-body interaction…

Atomic and Molecular Clusters · Physics 2011-10-26 M. R. Hadizadeh , M. T. Yamashita , Lauro Tomio , A. Delfino , T. Frederico

The role of an intrinsic four-body scale in universal few-boson systems is the subject of active debate. We study these systems within the framework of effective field theory. For systems of up to six bosons we establish that no four-body…

When the binding energy of a two-body system goes to zero the two-body system shows a continuous scaling invariance governed by the large value of the scattering length. In the case of three identical bosons, the three-body system in the…

Quantum Gases · Physics 2018-12-17 A. Kievsky , A. Polls , B. Julia-Diaz , N. Timofeyuk , M. Gattobigio

Few-body correlations emerging in two-dimensional harmonically trapped mixtures, are comprehensively investigated. The presence of the trap leads to the formation of atom-dimer and trap states, in addition to trimers. The Tan's contacts of…

Quantum Gases · Physics 2021-09-17 G. Bougas , S. I. Mistakidis , P. Giannakeas , P. Schmelcher

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

The universal behavior of a three-boson system close to the unitary limit is encoded in a simple dependence of many observables in terms of few parameters. For example the product of the three-body parameter $\kappa_*$ and the two-body…

Quantum Gases · Physics 2017-02-22 A. Kievsky , M. Viviani , R. Álvarez-Rodrí guez , M. Gattobigio , A. Deltuva

We study the behavior of weakly bound clusters and their relation to the well-known three-body Efimov states. We adopt a model to describe universal behavior of strongly interacting bosonic systems, and we test its validity by reproducing…

Quantum Gases · Physics 2010-05-10 Javier von Stecher

The low-energy spectrum of three particles interacting via nearly resonant two-body interactions in the Efimov regime is set by the so-called three-body parameter. We show that the three-body parameter is essentially determined by the…

Quantum Gases · Physics 2014-03-25 Pascal Naidon , Shimpei Endo , Masahito Ueda

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

The independence between few-body scales beyond the van der Waals universality is demonstrated for the extreme mass-imbalanced case of a specific many-boson system. This finding generalizes the scaling properties of universal tetramers to a…

Quantum Physics · Physics 2019-03-26 W. De Paula , A. Delfino , T. Frederico , Lauro Tomio

We consider the non-relativistic four-body system with large scattering length and short-range interactions within an effective theory with contact interactions only. We compute the binding energies of the 4He tetramer and of…

Other Condensed Matter · Physics 2009-11-10 L. Platter

Three-body correlations in three-body exotic atoms are studied with simple models that consist of three bosons interacting through a superposition of long- and short-range potentials. We discuss the correlations among particles by comparing…

Nuclear Theory · Physics 2019-11-15 H. Moriya , W. Horiuchi , J. -M. Richard

Small weakly-bound droplets determine a number of properties of ultracold Bose and Fermi gases. For example, Efimov trimers near the atom-atom-atom and atom-dimer thresholds lead to enhanced losses from bosonic clouds. Generalizations to…

Quantum Gases · Physics 2019-01-14 D. Blume

A two-body interaction or force between quantum particles is ubiquitous in nature, and the microscopic description in terms of the bare two-body interaction is the basis for quantitatively describing interacting few- and many-body systems.…

Quantum Gases · Physics 2025-06-17 Kantaro Honda , Yosuke Takasu , Yuki Haruna , Yusuke Nishida , Yoshiro Takahashi

A three-atom molecule AAB, formed by two identical bosons A and a distinct one B, is studied by considering coupled channels close to a Feshbach resonance. It is assumed that the subsystems AB and AA have, respectively, one and two…

Atomic Physics · Physics 2020-12-08 Marcelo T. Yamashita , Tobias Frederico , Lauro Tomio

The momentum space zero-range model is used to investigate universal properties of three interacting particles confined to two dimensions. The pertinent equations are first formulated for a system of two identical and one distinct particle…

Quantum Gases · Physics 2011-10-04 F. F. Bellotti , T. Frederico , M. T. Yamashita , D. V. Fedorov , A. S. Jensen , N. T. Zinner

Few-body systems with resonant short-range interactions display universal properties that do not depend on the details of their structure or their interactions at short distances. In the three-body system, these properties include the…

Quantum Gases · Physics 2012-08-16 S. Tölle , H. -W. Hammer , B. C. Metsch

We study universal bosonic few-body systems within the framework of effective field theory at leading order (LO). We calculate binding energies of systems of up to six particles and the atom-dimer scattering length. Convergence to the limit…

Quantum Gases · Physics 2017-01-03 Betzalel Bazak , Moti Eliyahu , Ubirajara van Kolck

We study systems of bosons and fermions in finite periodic boxes and show how the existence and properties of few-body resonances can be extracted from studying the volume dependence of the calculated energy spectra. Using a…

Nuclear Theory · Physics 2018-10-03 P. Klos , S. König , H. -W. Hammer , J. E. Lynn , A. Schwenk
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