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A non-relativistic system of three identical particles will display a rich set of universal features known as Efimov physics if the scattering length a is much larger than the range l of the underlying two-body interaction. An appropriate…

Other Condensed Matter · Physics 2009-11-13 Lucas Platter , Chen Ji , Daniel R. Phillips

We discuss several issues important for experimentally observing Efimov physics in ultracold quantum gases. By numerically solving the three-boson Schr\"odinger equation over a broad range of scattering lengths and energies, and by…

Other Condensed Matter · Physics 2009-02-10 J. P. D'Incao , Chris H. Greene , B. D. Esry

We derive three-body equations valid at finite densities and temperatures. These are based on the cluster mean field approach consistently including proper self energy corrections and the Pauli blocking. As an application we investigate the…

Nuclear Theory · Physics 2009-10-31 M. Beyer , W. Schadow , C. Kuhrts , G. Roepke

We consider bound states of asymmetric three-body systems confined to two dimensions. In the universal regime, two energy ratios and two mass ratios provide complete knowledge of the three-body energy measured in units of one two-body…

Quantum Gases · Physics 2012-02-06 F. F. Bellotti , T. Frederico , M. T. Yamashita , D. V. Fedorov , A. S. Jensen , N. T. Zinner

Three-body systems in two dimensions with zero-range interactions are considered for general masses and interaction strengths. The problem is formulated in momentum space and the numerical solution of the Schr\"odinger equation is used to…

Quantum Gases · Physics 2014-11-12 F. F. Bellotti , T. Frederico , M. T. Yamashita , D. V. Fedorov , A. S. Jensen , N. T. Zinner

We study two species of particles in two dimensions interacting by isotropic short-range potentials with the interspecies potential fine-tuned to a p-wave resonance. Their universal low-energy physics can be extracted by analyzing a…

Quantum Gases · Physics 2014-12-25 Sergej Moroz , Yusuke Nishida

Many-body descriptors are widely used to represent atomic environments in the construction of machine learned interatomic potentials and more broadly for fitting, classification and embedding tasks on atomic structures. It was generally…

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

Universality -- an essential concept in physics -- implies that different systems show the same phenomenon and can be described by a unified theory. A prime example of the universal quantum phenomena is the Efimov effect, which is the…

Nuclear Theory · Physics 2023-09-29 Shimpei Endo , Junki Tanaka

The field of few-body physics has originally been motivated by understanding nuclear matter. New model systems to experimentally explore few-body quantum systems can now be realized in ultracold gases with tunable interactions. Albeit the…

Other Condensed Matter · Physics 2009-11-13 S. Knoop , F. Ferlaino , M. Mark , M. Berninger , H. Schoebel , H. -C. Naegerl , R. Grimm

We investigate universal behavior in the recombination rate of three bosons close to threshold. Using the He-He system as a reference, we solve the three-body Schr\"odinger equation above the dimer threshold for different potentials having…

Atomic Physics · Physics 2013-09-17 E. Garrido , M. Gattobigio , A. Kievsky

The three-body recombination coefficient of a trapped ultracold atomic system, together with the corresponding two-body scattering length $a$, allow us to predict the energy $E_3$ of the shallow trimer bound state, using a universal scaling…

Soft Condensed Matter · Physics 2009-11-10 Lauro Tomio , Victo S. Filho , M. T. Yamashita , A. Gammal , T. Frederico

This dissertation presents theoretical investigations of universality and finite-range corrections in few- and many-boson systems. The main focus is on ultra-cold atomic gases seen both from the three-body, many-body, and mean-field…

Quantum Gases · Physics 2009-08-07 Martin Thøgersen

The Efimov effect represents a cornerstone in few-body physics. Building on the recent experimental observation with ultracold atoms, we report the first experimental signature of Efimov physics in a heteronuclear system. A mixture of…

Other Condensed Matter · Physics 2009-07-20 G. Barontini , C. Weber , F. Rabatti , J. Catani , G. Thalhammer , M. Inguscio , F. Minardi

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

In this note we discuss the Efimov effect emerging in a three-particle quantum system with zero-range interactions. In particular, we consider two non-interacting identical bosons plus a different lighter particle such that the interaction…

Mathematical Physics · Physics 2026-01-29 G. Basti , D. Ferretti , A. Teta

The non-symmetrized hyperspherical harmonics method for a three-body system, composed by two particles having equal masses, but different from the mass of the third particle, is reviewed and applied to the $^3$H, $^3$He nuclei and…

Nuclear Theory · Physics 2018-10-22 A. Nannini , L. E. Marcucci

This article reviews theoretical and experimental advances in Efimov physics, an array of quantum few-body and many-body phenomena arising for particles interacting via short-range resonant interactions, that is based on the appearance of a…

Quantum Physics · Physics 2022-10-04 Pascal Naidon , Shimpei Endo

We calculate the structure of three-body hypernuclei with $S=-1$ using pionless effective field theory at leading order in the isospin $I=0$ and $I=1$ sectors. In both sectors, three-body hypernuclei arise naturally from the Efimov effect…

Nuclear Theory · Physics 2020-07-16 F. Hildenbrand , H. -W. Hammer

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
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