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Few-body systems with large scattering length have universal properties that do not depend on the details of their interactions at short distances. We study the universal bound state properties of the four-boson system with large scattering…

Nuclear Theory · Physics 2008-11-26 H. -W. Hammer , L. Platter

We study the behavior of the bound state energy of a system consisting of two identical heavy fermions of mass M and a light particle of mass m. The heavy fermions interact with the light particle through a short-range two-body potential…

Quantum Gases · Physics 2015-06-12 A. Safavi-Naini , Seth. T. Rittenhouse , D. Blume , H. R. Sadeghpour

Particles with short-range interactions and a large scattering length have universal low-energy properties that do not depend on the details of their structure or their interactions at short distances. In the 2-body sector, the universal…

Other Condensed Matter · Physics 2009-07-09 Eric Braaten , H. -W. Hammer

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

Physical systems with a large scattering length have universal properties independent of the details of the interaction at short distances. Such systems can be realized in experiments with cold atoms close to a Feshbach resonance. They also…

Other Condensed Matter · Physics 2008-11-26 H. -W. Hammer

We study three same spin state fermions of mass M interacting with a distinguishable particle of mass m in the unitary limit where the interaction has a zero range and an infinite s-wave scattering length. We predict an interval of mass…

Quantum Gases · Physics 2015-05-19 Yvan Castin , Christophe Mora , Ludovic Pricoupenko

We show that four heavy fermions interacting resonantly with a lighter atom (4+1 system) become Efimovian at mass ratio 13.279(2), which is smaller than the corresponding 2+1 and 3+1 thresholds. We thus predict the five-body Efimov effect…

Quantum Gases · Physics 2017-02-28 Betzalel Bazak , Dmitry S. Petrov

Particles with resonant short-range interactions have 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 existence of a…

Nuclear Theory · Physics 2011-02-14 H. -W. Hammer , L. Platter

We study the emergence of universal tetramer and pentamer bound states in the two-dimensional $(N+1)$ system, which consists of $N$ identical heavy fermions interacting with a light atom. We show that the critical heavy-light mass ratio to…

Quantum Gases · Physics 2022-08-16 Ruijin Liu , Cheng Peng , Xiaoling Cui

Under certain circumstances, three or more interacting particles may form bound states. While the general few-body problem is not analytically solvable, the so-called Efimov trimers appear for a system of three particles with resonant…

Quantum Gases · Physics 2015-05-14 Scott E. Pollack , Daniel Dries , Randall G. Hulet

We treat small trapped unequal-mass two-component Fermi gases at unitarity within a non-perturbative microscopic framework and investigate the system properties as functions of the mass ratio $\kappa$, and the numbers $N_{1}$ and $N_2$ of…

Quantum Gases · Physics 2015-05-19 D. Blume , K. M. Daily

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

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

This work analyzes the three and four equal-mass fermionic systems near and at the $s$- and $p$-wave unitary limits using hyperspherical methods. The unitary regime addressed here is where the two-body dimer energy is at zero energy. For…

Atomic Physics · Physics 2025-11-25 Michael D. Higgins , Chris H. Greene

Non Efimovian $N$-body resonances are investigated in the regime of a large two-body s wave scattering length. In view of a universal description of low-energy bound and quasi-bound states, a contact model is introduced. The modeling…

Quantum Gases · Physics 2023-08-02 Ludovic Pricoupenko

We apply a functional renormalisation group to systems of four bosonic atoms close to the unitary limit. We work with a local effective action that includes a dynamical trimer field and we use this field to eliminate structures that do not…

Quantum Gases · Physics 2013-10-30 Benjamin Jaramillo Avila , Michael C. Birse

Efimov states are a sequence of shallow 3-body bound states that arise when the 2-body scattering length is large. Efimov showed that the binding energies of these states can be calculated in terms of the scattering length and a 3-body…

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

We report on the measurement of four-body recombination rate coefficients in an atomic gas. Our results obtained with an ultracold sample of cesium atoms at negative scattering lengths show a resonant enhancement of losses and provide…

Other Condensed Matter · Physics 2009-11-13 F. Ferlaino , S. Knoop , M. Berninger , W. Harm , J. P. D'Incao , H. -C. Nägerl , R. Grimm

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

Three body systems with short-range interactions display universal features that have been extensively explored in atomic physics, but apply to hadron physics as well. Systems composed of two non-interacting identical particles (species H)…

High Energy Physics - Phenomenology · Physics 2018-07-19 Manuel Pavon Valderrama
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