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Extremely weakly-bound three-boson systems are predicted to exhibit intriguing universal properties such as discrete scale invariance. Motivated by recent experimental studies of the ground and excited helium trimers, this work analyzes the…

Quantum Gases · Physics 2015-12-08 D. Blume

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

We show the existence of Borromean bound states in a one-dimensional quantum three-body system composed of two identical bosons and a distinguishable particle. It is assumed that there is no interaction between the two bosons, while the…

Quantum Physics · Physics 2024-05-24 Tobias Schnurrenberger , Lucas Happ , Maxim A. Efremov

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

Background: The relativistic three-body problem has a long tradition in few-nucleon physics. Calculations of the triton binding energy based on the solution of the relativistic Faddeev equation in general lead to a weaker binding than the…

Nuclear Theory · Physics 2014-11-17 M. R. Hadizadeh , Ch. Elster , W. N. Polyzou

We study aspects of the quantum and classical dynamics of a $3$-body system in 3D space with interaction depending only on mutual distances. The study is restricted to solutions in the space of relative motion which are functions of mutual…

Mathematical Physics · Physics 2017-07-06 Alexander V Turbiner , Willard Miller , Adrian M Escobar-Ruiz

Edge states reveal the nontrivial topology of energy band in the bulk. As localized states at boundaries, many-body edge states may obey a special symmetry that is broken in the bulk. When local particle-particle interaction is induced,…

Strongly Correlated Electrons · Physics 2021-11-25 K. L. Zhang , Z. Song

We study the system of trapped two-component Fermi gases with zero-range interaction in two dimensions (2D) or one dimension (1D). We calculate the one-particle density matrices of these systems at small displacements, from which we show…

Quantum Gases · Physics 2024-02-08 Jiansen Zhang , Shina Tan

Many-body interactions in effective field theories for disordered interacting electrons are considered. It is shown that three-body and higher interaction terms are generated in perturbation theory, and some of the physical consequences of…

Statistical Mechanics · Physics 2009-11-10 T. R. Kirkpatrick , D. Belitz

The ground state entanglement entropy is studied in a many-body bipartite quantum system with either a single or multiple conserved quantities. It is shown that the entanglement entropy exhibits a universal power-law behaviour at large $R$…

Statistical Mechanics · Physics 2022-09-14 Ohad Shpielberg

Background: The calculation of the hyperon binding energy in hypernuclei is crucial to understanding the interaction between hyperons and nucleons. Purpose: We assess the relative importance of two- and three-body hyperon-nucleon force by…

Nuclear Theory · Physics 2013-12-16 D. Lonardoni , S. Gandolfi , F. Pederiva

We analyze the acoustic collective excitations in two- and three-dimensional binary Yukawa systems, consisting of two components with different masses. Theoretical analysis reveals a profound difference between the weakly and strongly…

Plasma Physics · Physics 2012-08-07 Gabor J. Kalman , Zoltán Donkó , Peter Hartmann , Kenneth I. Golden

We consider either 3 spinless bosons or 3 equal mass spin-1/2 fermions, interacting via a short range potential of infinite scattering length and trapped in an isotropic harmonic potential. For a zero-range model, we obtain analytically the…

Other Condensed Matter · Physics 2016-08-16 Félix Werner , Yvan Castin

We consider a three-component Fermi gas that has SU(3) symmetry and is confined to two dimensions (2D). For realistic cold atomic gas experiments, we show that the phase diagram of the quasi-2D system can be characterized using two 2D…

Quantum Gases · Physics 2017-11-27 Thomas Kirk , Meera M. Parish

We investigate the two lowest-lying weakly bound states of $N \leq 8$ bosons as functions of the strength of two-body Gaussian interactions. We observe the limit for validity of Efimov physics. We calculate energies and second radial…

Quantum Physics · Physics 2017-12-22 S. E. Rasmussen , A. S. Jensen , D. V. Fedorov

We present a semiclassical study of the spectrum of a few-body system consisting of two short-range interacting bosonic particles in one dimension, a particular case of a general class of integrable many-body systems where the energy…

Quantum Gases · Physics 2017-08-10 Benjamin Geiger , Juan-Diego Urbina , Quirin Hummel , Klaus Richter

We investigate to what extent 18Ne can be descibed as a three-body system made of an inert 16O-core and two protons. We compare to experimental data and occasionally to shell model results. We obtain three-body wave functions with the…

Nuclear Theory · Physics 2015-03-17 J. A. Lay , D. V. Fedorov , A. S. Jensen , E. Garrido , C. Romero-Redondo

In the literature it is conjectured that the ground state energies of three and four bosons are universally related for all pair-interactions given that two bosons have a zero energy resonance and no negative energy bound states. Here it is…

Mathematical Physics · Physics 2012-11-05 Dmitry K. Gridnev

We investigate three-boson recombination of equal mass systems as function of (negative) scattering length, mass, finite energy, and finite temperature. An optical model with an imaginary potential at short distance reproduces experimental…

Quantum Gases · Physics 2013-10-31 P. K. Sørensen , D. V. Fedorov , A. S. Jensen , N. T. Zinner

Non-interacting systems with bounded disorder have been shown to exhibit sharp density of states peaks at the band edge which coincide with an energy range of abruptly suppressed localization. Recent work has shown that these features also…

Strongly Correlated Electrons · Physics 2016-04-20 P. Daley , R. Wortis