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Related papers: Universal behaviour of four-boson systems from a f…

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Using a generalized Bohr model and the hyper-spherical formalism for a three-body system, we derive the Thomas theorem assuming a simple interaction depending on the range of the potential. We discuss the conditions for which an unbound…

Nuclear Theory · Physics 2020-08-13 H. Zheng , A. Bonasera

Unstable four-boson states having an approximate dimer-atom-atom structure are studied using momentum-space integral equations for the four-particle transition operators. For a given Efimov trimer the universal properties of the lowest…

Atomic Physics · Physics 2012-11-13 A. Deltuva

In the low-energy limit, non-relativistic particles with short-range interactions exhibit universal behavior that is largely independent of microscopic details. This universality is typically described by effective field theory, in which…

Quantum Gases · Physics 2025-06-17 Langxuan Chen , Pengfei Zhang

Four-body systems are studied using an effective field theory with two- and three-body contact interactions. A method to systematically address deep trimers (three-body bound states that are more tightly bound than four-body bound/resonant…

Nuclear Theory · Physics 2024-03-04 Xincheng Lin

We consider the non-relativistic four-boson system with short-range forces and large scattering length in an effective quantum mechanics approach. We construct the effective interaction potential at leading order in the large scattering…

Other Condensed Matter · Physics 2009-11-10 L. Platter , H. -W. Hammer , Ulf-G. Meißner

The four-body bound state with two-body interactions is formulated in Three-Dimensional approach, a recently developed momentum space representation which greatly simplifies the numerical calculations of few-body systems without performing…

Nuclear Theory · Physics 2014-02-26 M. R. Hadizadeh , S. Bayegan

The number of four-body states known to behave universally is small. This work adds a new class of four-body states to this relatively short list. We predict the existence of a universal four-body bound state for heavy-light mixtures…

Quantum Gases · Physics 2015-06-11 D. Blume

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 have investigated S-wave bound states composed of three identical bosons interacting via regulated delta function potentials in non-relativistic quantum mechanics. For low-energy systems, these short-range potentials serve as an…

Nuclear Theory · Physics 2007-05-23 R. F. Mohr

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

Recent theoretical developments in the four-boson system with resonant interactions are described. Momentum-space scattering equations for the four-particle transition operators are used. The properties of unstable tetramers with…

Atomic Physics · Physics 2015-06-12 A. Deltuva

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 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 four-body bound state with two-body forces is formulated by the Three-Dimensional approach, which greatly simplifies the numerical calculations of few-body systems without performing the Partial Wave components. We have obtained the…

Nuclear Theory · Physics 2017-08-23 M. R. Hadizadeh , S. Bayegan

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 consider the nonrelativistic four-boson system in two dimensions interacting via a short-range attractive potential. For a weakly attractive potential with one shallow two-body bound state with binding energy B_2, the binding energies…

Other Condensed Matter · Physics 2015-06-24 L. Platter , H. -W. Hammer , U. -G. Meißner

Universal behaviour has been found inside the window of Efimov physics for systems with $N=4,5,6$ particles. Efimov physics refers to the emergence of a number of three-body states in systems of identical bosons interacting {\it via} a…

Quantum Gases · Physics 2015-06-17 M. Gattobigio , A. Kievsky

We study theoretically the phase diagram of strongly coupled two-dimensional Bose-Fermi mixtures interacting with attractive short-range potentials as a function of the particle densities. We focus on the limit where the size of the bound…

Quantum Gases · Physics 2023-05-31 Jonas von Milczewski , Félix Rose , Richard Schmidt

We calculate bound and scattering properties of a system of two neutral atoms and an ion near an atom-ion Feshbach resonance. Our results indicate that long-range atom-ion interactions lead to significant deviations from universal behavior…

Atomic Physics · Physics 2025-11-07 Jacek Gȩbala , Michał Tomza , José P. D'Incao

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