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We solve the Faddeev bound-state equations for three particles with simple two-body nonlocal, separable potentials that yield a scattering length twice as large as a positive effective range, as indicated by some lattice QCD simulations.…

Nuclear Theory · Physics 2024-01-17 V. S. Timoteo , U. van Kolck

We discuss a model for the relativistic bound states of 3-quark baryons based on confining quantum chromoynamics (QCD) with general Yang-Mills symmetry. The model postulates that 3-quark states are formed by consecutive 2-body collisions.…

General Physics · Physics 2025-05-19 Jong-Ping Hsu , Leonardo Hsu

If the dual Meissner effect due to abelian monopole condensation is the quark confinement mechanism of QCD as suggested in recent Monte-Carlo simulations of lattice QCD, new axial-vector and scalar bosons with the mass of O(1GeV) would…

High Energy Physics - Phenomenology · Physics 2008-02-03 Tsuneo Suzuki

We formulate the three-body problem in one dimension in terms of the (Faddeev-type) integral equation approach. As an application, we develop a spinless, one-dimensional (1-D) model that mimics three-nucleon dynamics in one dimension. Using…

Quantum Physics · Physics 2009-11-07 T. Melde , L. Canton , J. P Svenne

In the ferromagnetic phase of the q-state Potts model, switching on an external magnetic field induces confinement of the domain wall excitations. For the Ising model (q = 2) the spectrum consists of kink-antikink states which are the…

High Energy Physics - Theory · Physics 2015-10-09 M. Lencses , G. Takacs

In ultracold atomic gases, radio-frequency coupling between two spin states can lead to atoms being in a stable coherent superposition of the two states (dressed states). When the two-body interactions (scattering lengths) are different…

Quantum Gases · Physics 2025-03-28 S Tiengo , R Eid , T Bourdel

This is the second of a series of three papers treating light baryon resonances up to 3 GeV within a relativistically covariant quark model based on the three-fermion Bethe-Salpeter equation with instantaneous two- and three-body forces. In…

High Energy Physics - Phenomenology · Physics 2010-04-06 Ulrich Loering , Bernard Ch. Metsch , Herbert R. Petry

Three-body nuclear forces are essential for explaining the properties of light nuclei with a nucleon number greater than three. Building on insights from nuclear physics, we extract the form of quark three-body interactions and demonstrate…

High Energy Physics - Phenomenology · Physics 2024-08-02 Sungsik Noh , Aaron Park , Hyeongock Yun , Sungtae Cho , Su Houng Lee

Quantum chromodynamics predicts that the interaction between its fundamental constituents, quarks and gluons, can lead to different states of strongly interacting matter, dependent on its temperature and baryon density. We first survey the…

High Energy Physics - Phenomenology · Physics 2009-03-17 Helmut Satz

The structure of the three-boson bound state in Minkowski space is studied for a model with contact interaction. The Faddeev-Bethe-Salpeter equation is solved both in Minkowski and Euclidean spaces. The results are in fair agreement for…

High Energy Physics - Phenomenology · Physics 2020-05-28 E. Ydrefors , J. H. Alvarenga Nogueira , V. A. Karmanov , T. Frederico

A second order extension of the QED Lagrangian (including boson-boson coupling) has been used to describe q\bar q hadrons. Assuming massless elementary fermions (quantons) this results in a finite theory without open parameters, which may…

General Physics · Physics 2013-11-08 H. P. Morsch

Studying of the relativistic three-body bound state in a three-dimensional (3D) approach is a necessary first step in a process to eventually perform scattering calculations at GeV energies, where partial-wave expansions are not useful. To…

Nuclear Theory · Physics 2016-04-20 M. R. Hadizadeh , Ch. Elster , W. N. Polyzou

Three-dimensional (3D) Faddeev integral equations are solved for three-body (3B) bound state problem without using the partial wave (PW) form of low momentum two-body (2B) interaction $V_{low-k}$ which is constructed from spin independent…

Nuclear Theory · Physics 2014-04-03 M. R. Hadizadeh

We present analytical methods for investigating the interaction of two heavy quarks in QCD_3 using the effective action approach. Our findings result in explicit expressions for the static potentials in QCD_3 for long and short distances.…

High Energy Physics - Theory · Physics 2009-10-30 Walter Dittrich , Holger Gies

We performed bound state calculations to obtain the first few vibrational states for the Ar_3 molecular system. The equations used are of Faddeev-type and are solved directly as three-dimensional equations in configuration space, i.e.…

Atomic and Molecular Clusters · Physics 2009-11-10 M. L. Lekala , S. A. Sofianos

A recently developed three-dimensional approach (without partial-wave decomposition) is considered to investigate solutions of Faddeev-Yakubovsky integral equations in momentum space for three- and four-body bound states, with the inclusion…

Nuclear Theory · Physics 2011-07-08 M. R. Hadizadeh , Lauro Tomio , S. Bayegan

Baryons are treated as three-quark systems using QCD degrees of freedom in Poincare-covariant bound-state equations. The quark self-energy as well as the interaction between quarks are approximated by a vector-vector interaction via a…

High Energy Physics - Phenomenology · Physics 2015-06-23 Reinhard Alkofer , Gernot Eichmann , Helios Sanchis-Alepuz , Richard Williams

We consider the existence of bound systems consisting of two quarks and two antiquarks ($q^2\bar q^2$) within the framework of a constituent quark model. The underlying quark dynamics is described by a linear confinement potential and an…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. W. Beinker , B. C. Metsch , H. R. Petry

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

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