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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

The relativistic wave function of $^3$He nucleus is calculated in the framework of Light-Front Dynamics. It is determined by 32 spin-isospin components, each of which depends on five scalar variables. For NN interaction, the one-boson…

Nuclear Theory · Physics 2026-02-03 Zhimin Zhu , Ziqi Zhang , Kaiyu Fu , V. A. Karmanov

The deuteron-proton elastic scattering has been studied in the multiple scattering expansion formalism. The essential attention has been given to such relativistic problem as a deuteron wave function in a moving frame and transformation of…

Nuclear Theory · Physics 2009-01-26 N. B. Ladygina

We calculate the electromagnetic and axial nuclear moments of the deuteron and triton as a function of their radius using a relativistic two-nucleon and three-nucleon model formulated on the light-cone. The results also provide an estimate…

High Energy Physics - Phenomenology · Physics 2009-09-11 Stanley J. Brodsky , Felix Schlumpf

Two-body and three-body systems of scalar bosons are considered in the framework of covariant constraint dynamics. The reduced equation obtained after eliminating redundant degrees of freedom can be viewed as an eigenvalue equation for an…

High Energy Physics - Theory · Physics 2009-11-07 Philippe Droz-Vincent

The complete relativistic $O(\alpha^2)$ nuclear structure correction to the energy levels of ordinary (electronic) and muonic hydrogen-like atoms is investigated. The elastic part of the nuclear structure correction is derived analytically.…

Atomic Physics · Physics 2018-06-29 Krzysztof Pachucki , Vojtěch Patkóš , Vladimir A. Yerokhin

The influence of relativistic contributions to elastic electron deuteron scattering is studied systematically at low and intermediate momentum transfers ($Q^2\leq 30$ fm$^{-2}$). In a $(p/M)$-expansion, all leading order relativistic…

Nuclear Theory · Physics 2009-10-31 Hartmuth Arenhoevel , Frank Ritz , Thomas Wilbois

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

We start from a field-theoretical model of zero range approximation to derive three-dimensional relativistic two- and three-body equations on a null plane. We generalize those equations to finite range interactions. We propose a three-body…

High Energy Physics - Phenomenology · Physics 2009-09-25 E. Di Salvo , L. A. Kondratyuk , P. Saracco

The deuteron binding energy extracted from the reaction ${}^1H(n,\gamma){}^2H$ is reviewed with the exact relativistic formula, where the initial kinetic energy and the Doppler effect are taken into account. We find that the negligible…

Nuclear Theory · Physics 2009-10-31 Yongkyu Ko , Myung Ki Cheoun , Il-Tong Cheon

Long-range contributions to the three-nucleon force that have been recently worked out in chiral effective field theory at next-to-next-to-next-to-leading order are for the first time included in the triton and the doublet nucleon-deuteron…

Nuclear Theory · Physics 2013-05-29 R. Skibinski , J. Golak , K. Topolnicki , H. Witala , E. Epelbaum , W. Gloeckle , H. Krebs , A. Nogga , H. Kamada

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

A microscopic theory of nuclei based on a 'free' scattering NN-potential is meaningful only if this potential fits on-shell scattering data.This is a necessary but not sufficient condition for the theory to be successful.It has been…

Nuclear Theory · Physics 2009-07-10 H. S. Kohler

The relativistic dynamic equations are derived for a superfluid-superconducting mixture coupled to the electromagnetic field. For definiteness, and bearing in mind possible applications of our results to neutron stars, it is assumed that…

General Relativity and Quantum Cosmology · Physics 2017-01-25 Mikhail E. Gusakov , Vasiliy A. Dommes

We investigate the relativistic scattering of three identical scalar bosons interacting via pair-wise interactions. Extending techniques from the non-relativistic three-body scattering theory, we provide a detailed and general prescription…

Nuclear Theory · Physics 2023-03-09 Sebastian M. Dawid , Md Habib E Islam , Raúl A. Briceño

Model-independent constraints for the neutron-triton and proton-Helium-3 scattering lengths are calculated with a leading-order interaction derived from an effective field theory without explicit pions. Using the singlet neutron-proton…

Nuclear Theory · Physics 2011-05-20 Johannes Kirscher

Determination of the proper power-counting scheme is an important issue for the systematic application of Chiral Effective Field Theory in nuclear physics. We analyze the cutoff dependence of three-nucleon observables (the neutron-deuteron…

Nuclear Theory · Physics 2019-08-14 Young-Ho Song , Rimantas Lazauskas , U. van Kolck

We apply improved nucleon-nucleon potentials up to fifth order in chiral effective field theory, along with a new analysis of the theoretical truncation errors, to study nucleon-deuteron (Nd) scattering and selected low-energy observables…

We examine the regularized zero-range model in an application to three-fermion systems -- the triton and the hypertriton. We consider bound states and low-energy neutron-deuteron and lambda-deuteron scattering. The model is shown to provide…

Nuclear Theory · Physics 2009-11-07 D. V. Fedorov , A. S. Jensen

The three-nucleon bound state problem is studied employing a nucleon-nucleon potential obtained from a basic quark-quark interaction in a five-channel Faddeev calculation. The obtained triton binding energy is comparable to those predicted…

High Energy Physics - Phenomenology · Physics 2016-08-16 B. Juliá-Díaz , J. Haidenbauer , A. Valcarce , F. Fernández