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Theoretical predictions for the nucleon induced deuteron breakup process based on solutions of the three-nucleon Faddeev equation including such relativistic features as the relativistic kinematics and boost effects are presented. Large…

Nuclear Theory · Physics 2009-11-11 H. Witala , J. Golak , R. Skibinski

A complete high precision set of deuteron analyzing powers for elastic deuteron-proton ($dp$) scattering at 250 MeV/nucleon (MeV/N) has been measured. The new data are presented together with data from previous measurements at 70, 100, 135…

Relativistic Faddeev equations for three-body scattering at arbitrary energies are solved in first order in the two-body transition operator in terms of momentum vectors without employing a partial wave decomposition. Relativistic…

Nuclear Theory · Physics 2007-10-02 Ch. Elster , T. Lin , W. N. Polyzou , W. Gloeckle

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

The Faddeev Yakubovsky equations constitute a rigorous formulation of the quantum mechanical N body problem in the framework of non relativistic dynamics. They allow the exact solutions of the Schrodinger equation for bound and scattering…

Nuclear Theory · Physics 2020-02-17 Rimantas Lazauskas , Jaume Carbonell

The Faddeev-Yakubowsky equations in configuration space have been solved for the four nucleon system. The results with an S-wave interaction model in the isospin approximation are presented. They concern the bound and scattering states…

Nuclear Theory · Physics 2008-11-26 F. Ciesielski , J. Carbonell

The pending question of the existence of three-neutron resonances near the physical energy region is reconsidered. Finite rank neutron-neutron forces are used in Faddeev equations, which are analytically continued into the unphysical energy…

Nuclear Theory · Physics 2009-11-07 A. Hemmdan , W. Gloeckle , H. Kamada

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

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…

The recently developed method to solve the Faddeev equations in coordinate space is used to study the weakly bound halo nucleus, the hypertriton (Lambda + n + p). The long distances are treated carefully to achieve convergence and high…

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

Using modern nucleon-nucleon interactions in the description of the $A=3,4$ nuclei, it is not possible to reproduce both the three- and four-nucleon binding energies simultaneously. This is one manifestation of the necessity of including a…

Nuclear Theory · Physics 2015-05-18 A. Kievsky , M. Viviani , L. Girlanda , L. E. Marcucci

Given the phenomenological success of the Nambu-Jona-Lasinio model in describing the meson physics in the low energy limit, it is tempting to find the fully relativistically structured nucleon solution in the same model under the similar…

High Energy Physics - Phenomenology · Physics 2008-11-26 Suzhou Huang , John Tjon

We build a relativistic model to perform calculations of exclusive, semi-exclusive and inclusive unpolarized cross sections and various polarization observables in electron and neutrino scattering experiments with deuteron targets. The…

Nuclear Theory · Physics 2023-03-08 A. Grassi , J. Golak , W. N. Polyzou , R. Skibiński , H. Witała , H. Kamada

We describe in detail the implementation of the relativistic three-neutron finite-volume quantization condition derived in Ref. [1]. In particular, we show how the complications due to Wigner rotations acting on spins are included, and…

High Energy Physics - Lattice · Physics 2026-02-17 Wilder Schaaf , Stephen R. Sharpe

We provide details on a recent solution of the nucleon's covariant Faddeev equation in an explicit three-quark approach. The full Poincare-covariant structure of the three-quark amplitude is implemented through an orthogonal basis obtained…

High Energy Physics - Phenomenology · Physics 2010-04-30 G. Eichmann , R. Alkofer , A. Krassnigg , D. Nicmorus

Three-nucleon forces are an essential ingredient for an accurate description of nuclear few- and many-body systems. However, implementing them directly in many-body calculations is technically very challenging. Thus, there is a need for an…

Nuclear Theory · Physics 2021-01-07 Lukas Treuer

We discuss the problem of consistency of quantum mechanics as applied to low energy nucleon dynamics with the symmetries of QCD. It is shown that the dynamics consistent with these symmetries is not governed by the Schrodinger equation. We…

Quantum Physics · Physics 2007-05-23 Renat Kh. Gainutdinov , Aigul A. Mutygullina

A three-dimensional approach based on momentum vectors as variables for solving the three nucleon Faddeev equation in first order is presented. The nucleon-deuteron break-up amplitude is evaluated in leading order in the NN T-matrix, which…

Nuclear Theory · Physics 2009-11-10 I. Fachuddin , Ch. Elster , W. Gloeckle

The Peierls-Yoccoz (PY) rotational energy of nuclei has been analyzed by the angular-momentum projection (AMP) on the axial Hartree-Fock solutions, by using the semi-realistic effective Hamiltonian M3Y-P6. The rotational energy is…

Nuclear Theory · Physics 2022-11-17 K. Abe , H. Nakada

In this paper, we have solved a simple specific model of the five-body problem in the framework of the Yakubovsky equations, restricted to the configurations of the alpha-nucleon types only, to investigate the effective interaction between…

Nuclear Theory · Physics 2018-09-12 E. Ahmadi Pouya , A. A. Rajabi