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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

We calculate the unpolarised deep inelastic structure function of a relativistic deuteron within a covariant framework. An exact treatment of nucleon off-shell effects is shown to give corrections to the widely-used convolution model, even…

Nuclear Theory · Physics 2008-11-26 W. Melnitchouk , A. W. Schreiber , A. W. Thomas

We employ the chiral nucleon-nucleon potential derived using the method of unitary transformation up to next-to-next-to-leading order (NNLO) to study bound and scattering states in the two-nucleon system. The predicted partial wave phase…

Nuclear Theory · Physics 2009-11-06 E. Epelbaum , H. Kamada , A. Nogga , H. Witala , W. Gloeckle , Ulf-G. Meissner

In this paper, we study the relativistic effects in a three-body bound state. For this purpose, the relativistic form of the Faddeev equations is solved in momentum space as a function of the Jacobi momentum vectors without using a partial…

Nuclear Theory · Physics 2020-02-10 M. R. Hadizadeh , M. Radin , K. Mohseni

We consider the three-nucleon system within an effective theory with contact interactions at leading order in the large scattering length. We calculate the charge form factor of the triton at low momentum transfer and extract the triton…

Nuclear Theory · Physics 2009-11-11 L. Platter , H. -W. Hammer

We describe and implement twisted boundary conditions for the deuteron and triton systems within finite-volumes using the nuclear lattice EFT formalism. We investigate the finite-volume dependence of these systems with different twists…

Nuclear Theory · Physics 2016-05-25 Christopher Körber , Thomas Luu

The Faddeev equations are solved in momentum space for the trinucleon bound state with the new Tucson-Melbourne $\pi$ and $\rho$ exchange three-nucleon potentials. The three-nucleon potentials are combined with a variety of realistic…

Nuclear Theory · Physics 2008-11-26 A. Stadler , J. Adam , H. Henning , P. U. Sauer

The role of relativistic off-mass-shell kinematics in the deep inelastic scattering on deuteron is analyzed. It is shown that the relativistic impulse approximation reproduces effects from the binding, Fermi motion, and two-nucleon…

Nuclear Theory · Physics 2007-05-23 V. V Burov , A. V. Molochkov

We discuss the effect of relativistic kinematics on the binding energy of multiquark states. For a given potential, the use of relativistic kinematics lowers the energy by a larger amount for the threshold made of two mesons than for a…

High Energy Physics - Phenomenology · Physics 2021-12-21 Jean-Marc Richard , Alfredo Valcarce , Javier Vijande

We investigate the sensitivity of the three-nucleon system to changes in the neutron-neutron scattering length to next-to-leading order in the pionless effective field theory, focusing on the the triton-3He binding energy difference and…

Nuclear Theory · Physics 2015-06-19 H. W. Hammer , Sebastian König

The status of relativistic nuclear many-body calculations of nuclear systems to be built up in terms of protons and neutrons is reviewed. In detail, relativistic effects on several aspects of nuclear matter such as the effective mass,…

Nuclear Theory · Physics 2015-03-13 E. N. E. van Dalen , H. Müther

We generalise a recent derivation of the relativistic expressions for momentum and kinetic energy from the one-dimensional to the three-dimensional case.

Classical Physics · Physics 2009-11-11 Sebastiano Sonego , Massimo Pin

A nonrelativistic decomposition for the quark energy by the ratio of the dispersion of quark momentum squared and the effective quark mass is investigated in the framework of the relativistic oscillator constituent quark model as bound…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. P. Ilichova

The quantitative impact of the requirement of relativistic invariance in the three-nucleon problem is examined within the framework of Poincar\'e invariant quantum mechanics. In the case of the bound state, and for a wide variety of model…

Nuclear Theory · Physics 2009-11-11 B. D. Keister , W. N. Polyzou

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

The three-nucleon bound and scattering equations are solved in momentum space for a coupled-channel Hamiltonian. The Hamiltonian couples the purely nucleonic sector of Hilbert space with a sector in which one nucleon is excited to a…

Nuclear Theory · Physics 2022-09-13 A. Deltuva , P. U. Sauer

Proton-deuteron radiative capture and two- and three-body photodisintegration of 3He at low energy are described using realistic hadronic dynamics and including the Coulomb force. The sensitivity of the observables to the relativistic…

Nuclear Theory · Physics 2010-03-17 A. Deltuva , A. C. Fonseca , P. U. Sauer

We derive three-body equations valid at finite densities and temperatures. These are based on the cluster mean field approach consistently including proper self energy corrections and the Pauli blocking. As an application we investigate the…

Nuclear Theory · Physics 2009-10-31 M. Beyer , W. Schadow , C. Kuhrts , G. Roepke

The influence of relativistic contributions to deuteron electrodisintegration is systematically studied in various kinematic regions of energy and momentum transfer. As theoretical framework the equation-of-motion and the unitarily…

Nuclear Theory · Physics 2008-11-26 F. Ritz , H. Goeller , T. Wilbois , H. Arenhoevel

The nonrelativistic full-folding optical model approach for nucleon-nucleus scattering is extended into the relativistic regime. In doing so, kinematical issues involving the off-shell Lorentz boost of the colliding particles between the…

Nuclear Theory · Physics 2009-11-07 H. F. Arellano , H. V. von Geramb