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The large distance behavior of weakly bound three-body systems is investigated. The Schr\"{o}dinger equation and the Faddeev equations are reformulated by an expansion in eigenfunctions of the angular part of a corresponding operator. The…

Nuclear Theory · Physics 2008-11-26 D. V. Fedorov , A. S. Jensen , K. Riisager

In this study, based on the variational principle and Faddeev method, we present a general framework for finding the propagating solutions of multiple interacting particles on a torus. Two different versions of multiparticle secular…

High Energy Physics - Lattice · Physics 2020-03-25 Peng Guo

Lattice QCD already offers the possibility of extracting three-hadron scattering quantities from first principles. In the last few years, significant progress has been achieved in developing and applying the finite-volume three-body…

High Energy Physics - Lattice · Physics 2021-12-13 Fernando Romero-López

A benchmark is set on the three-nucleon photodisintegration calculating the total cross section with modern realistic two- and three-nucleon forces (AV18, UrbIX) using both the Faddeev equations and the Lorentz Integral Transform method.…

We study the spectral and scattering theory of three body dispersive systems, which include a massless particle and a two body non-relativistic pair, along with two body short interactions among the three particles. We prove local decay…

Mathematical Physics · Physics 2019-01-29 Michael breeling , Avy Soffer

The interaction of an $\eta$-meson with two nucleons is studied within a three-body approach. The major features of the $\eta NN$-system in the low-energy region are accounted for by using a s-wave separable ansatz for the two-body $\eta…

Nuclear Theory · Physics 2011-07-19 A. Fix , H. Arenhoevel

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

We discuss the three-body decay mechanisms of many-body resonances. R-matrix sequential description is compared with full Faddeev computation. The role of the angular momentum and boson symmetries is also studied. As an illustration we show…

The electron-target-asymmetries A_parallel and A_perpendicular with target spin parallel and perpendicular to the momentum transfer q were measured for both the two-- and three-body breakup of 3He in the 3He(e,e'p)-reaction. Polarized…

It is well known that multi-particle integral equations of collision theory, in general, are not compact. At the same time it has been shown that the motion of three and four particles is described with consistent integral equations. In…

Mathematical Physics · Physics 2014-02-20 Vagner Jikia , Jemal Mebonia

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

Spinor condensates have proven to be a rich area for probing many-body phenomena richer than that of an ultracold gas consisting of atoms restricted to a single spin state. In the strongly correlated regime, the physics controlling the…

Quantum Physics · Physics 2014-12-30 V. E. Colussi , Chris H. Greene , J. P. D'Incao

As the study of three-hadron physics from lattice QCD matures, it is necessary to develop proper analysis tools in order to reliably study a variety of phenomena, including resonance spectroscopy and nuclear structure. Reconstructing the…

High Energy Physics - Phenomenology · Physics 2023-12-04 Andrew W. Jackura , Raúl A. Briceño

The core excitation, being an important reaction mechanism, so far is not properly included in most calculations of three-body nuclear reactions. We aim to include the excitation of the core nucleus using an exact Faddeev-type framework for…

Nuclear Theory · Physics 2017-06-05 A. Deltuva

A measurement of the double-spin asymmetry from electron-$^{3}$He scattering in the threshold region of two- and three-body breakup of $^{3}$He was performed at Jefferson Lab, for Q$^{2}$ values of 0.1 and 0.2 (GeV/$c$)$^{2}$. The results…

The relativistic properties of the three-nucleon system are investigated using the Faddeev equations within the Bethe-Salpeter approach. The nucleon-nucleon interaction is chosen in a separable form. The Gauss quadrature method is used to…

Nuclear Theory · Physics 2016-03-23 S. G. Bondarenko , V. V. Burov , S. A. Yurev

Momentum distributions of particles from fast three-body halo fragmentation reactions with polarized beams and outgoing fragments are analyzed by use of the sudden approximation. The final state interaction between the two non-disturbed…

Nuclear Theory · Physics 2007-05-23 E. Garrido , D. V. Fedorov , A. S. Jensen

Formalism based on complex-scaling method is developed for solving the few particle scattering problem by employing only trivial boundary conditions. Several applications are presented proving efficiency of the method in describing elastic…

Nuclear Theory · Physics 2015-03-19 Rimantas Lazauskas , Jaume Carbonell

The classical three-body harmonic system in $\mathbb{R}^d$ ($d>1$) with finite rest lengths and zero total angular momentum $L=0$ is considered. This model describes the dynamics of the $L=0$ near-equilibrium configurations of three point…

Classical Physics · Physics 2022-06-01 A. M. Escobar-Ruiz , M. A. Quiroz-Juarez , J. L. Del Rio-Correa , N. Aquino

We study the zero-energy collision of three fermions, two of which are in the spin-down ($\downarrow$) state and one of which is in the spin-up ($\uparrow$) state. Assuming that the two-body and the three-body interactions have a finite…

Quantum Gases · Physics 2025-03-17 Jiansen Zhang , Zipeng Wang , Shina Tan