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Continuum structures of three short-range interacting particles in a deformed external one-body field are investigated. We use the equivalent $d$-method employing non-integer dimension, $d$, in a spherical calculation with a…

Atomic Physics · Physics 2022-07-20 E. Garrido , E. R. Christensen , A. S. Jensen

We study a heavy-heavy-light three-body system confined to one space dimension. Both binding energies and corresponding wave functions are obtained for (i) the zero-range, and (ii) two finite-range attractive heavy-light interaction…

We investigate effects of three-body contact interactions on a trapped dipolar Bose gas at finite temperature using the Hartree-Fock-Bogoliubov approximation. We analyze numerically the behavior of the transition temperature and the…

Quantum Gases · Physics 2018-01-17 Abdelaali Boudjemaa

We introduce a general approximate method for calculating the one-body correlations and the momentum distributions of one-dimensional Bose gases at finite interaction strengths and temperatures trapped in smooth confining potentials. Our…

Statistical Mechanics · Physics 2025-03-25 Attila Takács , Yicheng Zhang , Pasquale Calabrese , Jerôme Dubail , Marcos Rigol , Stefano Scopa

Three-body interactions have been measured among three charged colloidal particles in deionized solvent. Two of the particles have been confined to an optical line-trap while the third one was approached by means of a focused laser beam.…

Soft Condensed Matter · Physics 2008-01-28 M. Brunner , J. Dobnikar , H. H. von Grünberg , C. Bechinger

We perform a fit of the finite-volume QCD spectrum of three pions at maximal isospin to constrain the three-body force. We use the unitarity-based relativistic three-particle quantization condition, with the GWUQCD spectrum obtained at 315…

High Energy Physics - Lattice · Physics 2021-07-09 Ruairí Brett , Chris Culver , Maxim Mai , Andrei Alexandru , Michael Döring , Frank X. Lee

We make use of a simple pair correlated wave function approach to obtain results for the ground-state densities and momentum distribution of a one-dimensional three-body bosonic system with different interactions in a harmonic trap. For…

Quantum Gases · Physics 2016-06-06 R. E. Barfknecht , A. S. Dehkharghani , A. Foerster , N. T. Zinner

We study the two dimensional three-body problem in the general case of three distinguishable particles interacting through zero-range potentials. The Faddeev decomposition is used to write the momentum-space wave function. We show that the…

Quantum Gases · Physics 2014-02-03 F. F. Bellotti , T. Frederico , M. T. Yamashita , D. V. Fedorov , A. S. Jensen , N. T. Zinner

We study a three-body system with zero-range interactions in a one-dimensional harmonic trap. The system consists of two spin-polarized fermions and a third particle which is distinct from two others (2+1 system). First we assume that the…

Quantum Gases · Physics 2015-03-11 N. J. S. Loft , A. S. Dehkharghani , N. P. Mehta , A. G. Volosniev , N. T. Zinner

We present a new three dimensional many-body Hamiltonian with three-body and five-body interactions. We obtain the exact ground state as well as some excited states of this Hamiltonian for arbitrary number of particles. These exact…

Condensed Matter · Physics 2008-02-03 Pijush K. Ghosh

We develop a variational approach at finite temperature that incorporates many-body correlation self-consistently. The grand potential is constructed in terms of Green's function expressed by the variational parameters. We apply this…

Quantum Gases · Physics 2019-05-30 Akimitsu Kirikoshi , Wataru Kohno , Takafumi Kita

An N-body bosonic model with delta-contact interactions projected on the lowest Landau level is considered. For a given number of particles in a given angular momentum sector, any energy level can be obtained exactly by means of…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Stefan Mashkevich , Sergey Matveenko , Stéphane Ouvry

We discuss the finite-temperature properties of low-dimensional bosons with three-body interactions described by a Feshbach-resonance-like two-channel model. In particular, by using the approximate consideration that collects ring-like…

Quantum Gases · Physics 2026-04-07 V. Polkanov , V. Pastukhov

We discuss unitarity constraints on the dynamics of a system of three interacting particles. We show how the short-range interaction that describes three-body resonances can be separated from the long-range exchange processes, in particular…

High Energy Physics - Phenomenology · Physics 2019-09-04 M. Mikhasenko , Y. Wunderlich , A. Jackura , V. Mathieu , A. Pilloni , B. Ketzer , A. P. Szczepaniak

From dispersion relation approach, a formalism that describes final state interaction among three particles in a coupled-channel system is presented in this work. Different representations of coupled-channel three-body formalism with only…

High Energy Physics - Phenomenology · Physics 2016-07-19 Peng Guo

We discuss the three-body properties of identical bosons exhibiting large scattering length in two spatial dimensions. Within an effective field theory for resonant interactions, we calculate the leading non-universal corrections from the…

Quantum Gases · Physics 2015-03-17 K. Helfrich , H. -W. Hammer

The continuum description of active particle systems is an efficient instrument to analyze a finite size particle dynamics in the limit of a large number of particles. However, it is often the case that such equations appear as nonlinear…

Numerical Analysis · Mathematics 2021-06-30 Nikita Kruk , José A. Carrillo , Heinz Koeppl

We discuss a systematic construction of dimensionless quantum-mechanical equations. The process reduces the number of independent model parameters to a minimum and, at the same time, provides the natural units of length, energy, etc. in a…

Quantum Physics · Physics 2023-06-19 Francisco M. Fernández

We study zero-energy collisions between three identical bosons with spin $f = 1$ interacting via pairwise potentials. We quantify the corresponding three-body scattering hypervolumes, which parametrize the effective three-body interaction…

Quantum Gases · Physics 2021-08-26 P. M. A. Mestrom , J. -L. Li , V. E. Colussi , T. Secker , S. J. J. M. F. Kokkelmans

We investigate one-dimensional three-body systems composed of two identical bosons and one imbalanced atom (impurity) with two-body and three-body zero-range interactions. For the case in the absence of three-body interaction, we give a…

Quantum Gases · Physics 2021-09-08 Yanxia Liu , Yi-Cong Yu , Shu Chen