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We investigate the relativistic scattering of three identical scalar bosons interacting via pair-wise interactions. Extending techniques from the non-relativistic three-body scattering theory, we provide a detailed and general prescription…

Nuclear Theory · Physics 2023-03-09 Sebastian M. Dawid , Md Habib E Islam , Raúl A. Briceño

The triple neutral gauge boson and direct U(1)_Y-neutrino interactions, being absent in ordinary field theory, can arise quite naturally in noncommutative gauge field theories. Using non-perturbative methods and a Seiberg-Witten map based…

High Energy Physics - Phenomenology · Physics 2014-02-28 Raul Horvat , Amon Ilakovac , Dalibor Kekez , Josip Trampetic , Jiangyang You

Three-body and four-body interactions have been directly measured in a colloidal system comprised of three (or four) charged colloidal particles. Two of the particles have been confined by means of a scanned laser tweezers to a line-shaped…

Soft Condensed Matter · Physics 2009-11-13 J. Dobnikar , M. Brunner , Jörg Baumgartl , H. H. von Grünberg , C. Bechinger

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 discuss how large three-body loss of atoms in an optical lattice can give rise to effective hard-core three-body interactions. For bosons, in addition to the usual atomic superfluid, a dimer superfluid can then be observed for attractive…

Other Condensed Matter · Physics 2009-05-18 A. J. Daley , J. M. Taylor , S. Diehl , M. Baranov , P. Zoller

The Efimov effect (in a broad sense) refers to the onset of a geometric sequence of many-body bound states as a consequence of the breakdown of continuous scale invariance to discrete scale invariance. While originally discovered in…

Quantum Gases · Physics 2022-09-23 Satoshi Ohya

A two-body interaction or force between quantum particles is ubiquitous in nature, and the microscopic description in terms of the bare two-body interaction is the basis for quantitatively describing interacting few- and many-body systems.…

Quantum Gases · Physics 2025-06-17 Kantaro Honda , Yosuke Takasu , Yuki Haruna , Yusuke Nishida , Yoshiro Takahashi

The determination of the Landau free energy (the grand thermodynamic potential) by a perturbation theory is advanced to arbitrary order for the specific case of non-interacting fermionic systems perturbed by a one-particle potential.…

Statistical Mechanics · Physics 2018-07-11 Cezary Sliwa , Tomasz Dietl

We consider low-energy nucleons at next-to-next-to-leading order in lattice chiral effective field theory. Three-body interactions first appear at this order, and we discuss several methods for determining three-body interaction…

Nuclear Theory · Physics 2009-07-22 Evgeny Epelbaum , Hermann Krebs , Dean Lee , Ulf-G. Meißner

We discuss the direct measurement of the trilinear vector boson couplings in present and future collider experiments. The major goals of such experiments will be the confirmation of the Standard Model (SM) predictions and the search for…

High Energy Physics - Phenomenology · Physics 2016-11-03 H. Aihara , T. Barklow , U. Baur , J. Busenitz , S. Errede , T. A. Fuess , T. Han , D. London , J. Ohnemus , R. Szalapski , C. Wendt , D. Zeppenfeld

We consider the resonant Fermi gas, that is, two-component fermions in three dimensions interacting by a short-range potential of large scattering length. We introduce a quantity, the three-body contact, that determines several observables.…

Quantum Gases · Physics 2024-04-23 Félix Werner , Xavier Leyronas

We investigate the nonlocal Gross-Pitaevskii (GP) equation with long-range dipole-dipole and contact interactions (including binary and three-body collisions). We address the impact of the three-body interaction on stabilizing trapless…

The perturbation theory with respect to the potential energy of three particles is considered. The first-order correction to the continuum wave function of three free particles is derived. It is shown that the use of the collective…

Atomic Physics · Physics 2009-11-13 A. V. Meremianin

In this letter we consider dipolar quantum gases in a quasi-one-dimensional tube with dipole moment perpendicular to the tube direction. We deduce the effective one-dimensional interaction potential and show that this potential is not…

Quantum Gases · Physics 2014-02-12 Liming Guan , Xiaoling Cui , Ran Qi , Hui Zhai

Two-body and three-body systems of scalar bosons are considered in the framework of covariant constraint dynamics. The reduced equation obtained after eliminating redundant degrees of freedom can be viewed as an eigenvalue equation for an…

High Energy Physics - Theory · Physics 2009-11-07 Philippe Droz-Vincent

We develop a diagrammatic scattering theory for interacting bosons in a three-dimensional, weakly disordered potential. Based on a microscopic N-body scattering theory, we identify the relevant diagrams including elastic and inelastic…

Quantum Physics · Physics 2015-06-16 Tobias Geiger , Andreas Buchleitner , Thomas Wellens

We derive an integral equation describing $N$ two-dimensional bosons with zero-range interactions and solve it for the ground state energy $B_N$ by applying a stochastic diffusion Monte Carlo scheme for up to 26 particles. We confirm and go…

Quantum Gases · Physics 2018-02-21 Betzalel Bazak , Dmitry S. Petrov

Beyond-the-standard-model interactions mediated by an exchange of virtual "new" bosons result in a finite set of possible effective interaction potentials between standard-model particles such as electrons and nucleons. We discuss the…

High Energy Physics - Phenomenology · Physics 2019-05-22 Filip Ficek , Dmitry Budker

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

For a system of spinless one-dimensional fermions, the non-vanishing short-range limit of two-body interaction is shown to induce the wave-function discontinuity. We prove the equivalence of this fermionic system and the bosonic particle…

Quantum Physics · Physics 2009-02-27 Taksu Cheon , T. Shigehara
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