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The change in mass of a nucleon, arising from its interactions with other nucleons inside the target, results in velocity-dependent terms in the Schr\"odinger equation that describes nucleon scattering. It has recently been suggested in a…

Nuclear Theory · Physics 2019-05-22 N. K. Timofeyuk

The four-body equations of Alt, Grassberger and Sandhas are solved for the neutron-${}^3$H scattering at energies above the four-nucleon breakup threshold. The accuracy and practical applicability of the employed complex energy method is…

Nuclear Theory · Physics 2012-11-13 A. Deltuva , A. C. Fonseca

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 propose a simplified approach to incorporate the long-range proton-proton (pp) Coulomb force in the three-nucleon (3N) scattering calculations, based on exact formulation presented in Eur. Phys. Journal A {\bf{41}}, 369 (2009) and…

Nuclear Theory · Physics 2023-10-06 H. Witała , J. Golak , R. Skibiński

By means of a technique, which does not employ partial wave (PW) decompositions, the nucleon-deuteron break-up process is evaluated in the Faddeev scheme, where only the leading order term of the amplitude is considered. This technique is…

Nuclear Theory · Physics 2017-08-23 I. Fachruddin , Ch. Elster , W. Gloeckle

It is found that the coupled piNNN-NNN system breaks into fragments in a nontrivial way. Assuming the particles as distinguishable, there are indeed four modes of fragmentation into two clusters, while in the standard three-body problem…

Nuclear Theory · Physics 2008-11-26 L. Canton

We present a method to integrate predictions from a theoretical model of a reaction with three bodies in the final state over the region of phase space covered by a given experiment. The method takes into account the true experimental…

The process 3He(e,e'n) with polarized electrons and 3He in the initial state is theoretically analyzed with the aim to search for sensitivity to the electric form factor of the neutron, GEn. Faddeev calculations based on five high precision…

Nuclear Theory · Physics 2009-11-07 J. Golak , W. Gloeckle , H. Kamada , H. Witala , R. Skibinski , A. Nogga

A spin-isospin dependent Three-Dimensional approach based on momentum vectors for formulation of the three-nucleon bound state is presented in this paper. The three-nucleon Faddeev equations with two-nucleon interactions are formulated as a…

Nuclear Theory · Physics 2008-11-26 S. Bayegan , M. R. Hadizadeh , M. Harzchi

We use Faddeev's decomposition to solve the shell-model problem for three nucleons. The dependence on harmonic-oscillator excitations allowed in the model space, up to $32 \hbar\Omega$ in the present calculations, and on the…

Nuclear Theory · Physics 2008-11-26 P. Navratil , B. R. Barrett

Four-body equations in momentum space are solved for neutron-$\He$, proton-$\Hh$, and deuteron-deuteron scattering; all three reactions are coupled. The Coulomb interaction between the protons is included using the screening and…

Nuclear Theory · Physics 2008-11-26 A. Deltuva , A. C. Fonseca

Recent work in the literature has studied the restricted three-body problem within the framework of effective-field-theory models of gravity. This paper extends such a program by considering the full three-body problem, when the Newtonian…

General Relativity and Quantum Cosmology · Physics 2014-10-17 Emmanuele Battista , Giampiero Esposito

General properties of the three-body problem in a model of modified dynamics are investigated. It is shown that the three-body problem in this model shares some characters with the similar problem in Newtonian dynamics. Moreover, the planar…

Astrophysics of Galaxies · Physics 2023-04-14 Hossein Shenavar

We discuss effective field theory treatments of the problem of three particles interacting via short-range forces. One case of such a system is neutron-deuteron scattering at low energies. We demonstrate that in attractive channels the…

Nuclear Theory · Physics 2009-11-10 I. R. Afnan , Daniel R. Phillips

Elastic electron-3He scattering is studied in the relativistic impulse approximation. The amplitudes for the three-nucleon system - 3He - are obtained by solving the relativistic generalization of the Faddeev equation. The charge and…

Nuclear Theory · Physics 2019-05-01 Serge Bondarenko , Valery Burov , Sergey Yurev

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

We investigate the sensitivity of the non-exclusive nucleon induced deuteron breakup reaction to the three-nucleon interaction and distributions of three-nucleon force effects in inclusive spectra. To this end we solve the three-nucleon…

Nuclear Theory · Physics 2020-06-24 H. Witała , J. Golak , R. Skibiński , V. Soloviov , K. Topolnicki

This work reviews recent advances in the analytical treatment of the continuum spectrum of correlated few-body non-relativistic Coulomb systems. The exactly solvable two-body problem serves as an introduction to the non-separable…

Mathematical Physics · Physics 2007-05-23 Jamal Berakdar

We present microscopic calculations of low energy scattering observables in all possible four nucleon systems : n-3H, p-3He and p-3H. Results were obtained by solving Faddeev-Yakubovski equations in configuration space, appropriately…

Nuclear Theory · Physics 2007-05-23 R. Lazauskas , J. Carbonell

Three-body calculations of (d,p) and (p,d) reactions involving one-neutron halo nuclei 11Be and 15C are performed using the framework of Faddeev-type scattering equations. Important effects of the optical potential nonlocality are found…

Nuclear Theory · Physics 2011-08-23 A. Deltuva
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