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Related papers: Three-body interaction near a narrow two-body zero…

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Three-body forces, a type of non-perturbative strong interaction, are widely studied in nuclear physics. However, whether their inclusion is necessary in nuclear systems remains a topic of intense debate. In this letter, we propose that the…

Nuclear Theory · Physics 2026-03-27 Ya-Wen Pan , Ming-Zhu Liu , Li-Sheng Geng

We briefly summarize the most relevant steps in the search of rigorous results about the properties of quantum systems made of three bosons interacting with zero-range forces. We also describe recent attempts to solve the unboundedness…

Mathematical Physics · Physics 2020-01-29 Rodolfo Figari , Alessandro Teta

Ultracold interacting atoms are an excellent tool to study correlation functions of many-body systems that are generally eluding detection and manipulation. Herein, we investigate the ground state of bosons in a tilted triple-well potential…

Quantum Gases · Physics 2019-06-12 Sunayana Dutta , Marios C. Tsatsos , Saurabh Basu , Axel U. J. Lode

We calculate the renormalized effective 2-, 3-, and 4-body interactions for N neutral ultracold bosons in the ground state of an isotropic harmonic trap, assuming 2-body interactions modeled with the combination of a zero-range and…

Quantum Physics · Physics 2012-06-26 P. R. Johnson , D. Blume , X. Y. Yin , W. F. Flynn , E. Tiesinga

The long-range forces that act between three atoms are analysed in both atom-diatom and atom-atom-atom representations. Expressions for atom-diatom dispersion coefficients are obtained in terms of 3-body nonadditive coefficients. The…

Atomic and Molecular Clusters · Physics 2009-11-11 Marko T. Cvitas , Pavel Soldan , Jeremy M. Hutson

We study clusters of the type A$_N$B$_M$ with $N\leq M\leq 3$ in a two-dimensional mixture of A and B bosons, with attractive AB and equally repulsive AA and BB interactions. In order to check universal aspects of the problem, we choose two…

Quantum Gases · Physics 2020-04-15 G. Guijarro , G. E. Astrakharchik , J. Boronat , B. Bazak , D. S. Petrov

We discuss renormalization of the non-relativistic three-body problem with short-range forces. The problem is non-perturbative at momenta of the order of the inverse of the two-body scattering length. An infinite number of graphs must be…

Nuclear Theory · Physics 2009-10-31 P. F. Bedaque , H. -W. Hammer , U. van Kolck

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 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 present the first direct measurement of three-body interactions in a colloidal system comprised of three charged colloidal particles. Two of the particles have been confined by means of a scanned laser tweezers to a line-shaped optical…

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

Microscopic calculations based on realistic nuclear hamiltonians, while yielding accurate results for the energies of the ground and low-lying excited states of nuclei with $A \leq 12$, fail to reproduce the empirical equilibrium properties…

In this paper, we studied a dilute quasi two-dimensional dipolar Bose-condensed with two- and three-body contact, and Coulomb interactions using the Hartree-Fock-Bogoliubov-Popov approximation. We analyze numerically the effects of…

Quantum Gases · Physics 2022-03-02 S. Mostafa Moniri , Heshmatollah Yavari , Elnaz Darsheshdar

We discuss effective field theory treatments of the problem of three particles interacting via short-range forces (range R >> a_2, with a_2 the two-body scattering length). We show that forming a once-subtracted scattering equation yields a…

Other Condensed Matter · Physics 2009-04-17 L. Platter , D. R. Phillips

A density-dependent effective potential for the baryon-baryon interaction in the presence of the (hyper)nuclear medium is constructed, based on the leading (irreducible) three-baryon forces derived within SU(3) chiral effective field…

For systems of three identical particles in which short-range forces produce shallow two-particle bound states, and in particular for the ``pion-less'' Effective Field Theory of Nuclear Physics, I extend and systematise the power-counting…

Nuclear Theory · Physics 2010-04-05 Harald W. Griesshammer

This contribution is an advertisement for applying effective field theory (EFT) to many-body problems, including nuclei and cold atomic gases. Examples involving three-body interactions are used to illustrate how EFT's quantify and…

Nuclear Theory · Physics 2015-06-26 R. J. Furnstahl

We derive the asymptotic expansions of the wave function of three particles having equal mass with finite-range interactions and infinite or zero two-dimensional scattering length colliding at zero energy and zero orbital angular momentum,…

Quantum Gases · Physics 2024-04-30 Junjie Liang , Shina Tan

This is an extensive work to our previous paper \cite{key-08} studied on the D0-D4/D8 holographic system. We compute the three-body force for baryons with the D0-D4/D8 matrix model derived in \cite{key-08} with considering the non-zero QCD…

High Energy Physics - Theory · Physics 2016-03-30 Si-wen Li , Tuo Jia

Within mean-field theory we calculate universal scaling functions associated with critical Casimir forces for a system consisting of three parallel cylindrical colloids immersed in a near-critical binary liquid mixture. For several…

Soft Condensed Matter · Physics 2015-06-22 T. G. Mattos , L. Harnau , S. Dietrich

Motivated by previous suggestions that three-body hard-core interactions in lower-dimensional ultracold Bose gases might provide a way for creation of non-Abelian anyons, the exact ground state of a harmonically trapped 1D Bose gas with…

Quantum Gases · Physics 2010-11-12 M. D. Girardeau