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The formalism of two coupled Dirac equations within constraint instant form dynamics is used to study the nucleon-nucleon interaction. The salient features and the final Schroedinger type equation is given. Explicitly energy dependent…

Nuclear Theory · Physics 2007-05-23 H. V. von Geramb , B. Davaadorj , St. Wirsching

We present a systematic derivation of the constraints that the relativity principle imposes between coefficients of a deformed (but rotational invariant) momentum composition law, dispersion relation, and momentum transformation laws, at…

High Energy Physics - Phenomenology · Physics 2015-05-08 J. M. Carmona , J. L. Cortes , B. Romeo

The three-body problem is a fundamental long-standing open problem, with applications in all branches of physics, including astrophysics, nuclear physics and particle physics. In general, conserved quantities allow to reduce the formulation…

Earth and Planetary Astrophysics · Physics 2024-05-28 Barak Kol

Accurate predictions for hydrogen molecular levels require the treatment of electrons and nuclei on an equal footing. While nonrelativistic theory has been effectively formulated this way, calculation of relativistic and quantum…

Chemical Physics · Physics 2024-01-24 Krzysztof Pachucki , Jacek Komasa

Employing the polarization degrees of freedom in the deuteron allows to isolate smaller than average inter-nucleon distances in the deuteron. As a result one can identify set of high $Q^2$ reactions off polarized deuteron which are…

Nuclear Theory · Physics 2017-08-23 Misak M. Sargsian

Beginning with an effective field theory based upon meson exchange, the Bethe-Salpeter equation for the three-particle propagator (six-point function) is obtained. Using the one-boson-exchange form of the kernel, this equation is then…

Nuclear Theory · Physics 2008-11-26 Paul C. Dulany , S. J. Wallace

We first give the solution for the local approximation of a four parameter family of generalized one-dimensional point interactions within the framework of non-relativistic model with three neighboring $\delta$ functions. We also discuss…

Quantum Physics · Physics 2007-05-23 T. Shigehara , H. Mizoguchi , T. Mishima , Taksu Cheon

In order to simulate the relativistic effects of the Dirac Brueckner Hartree Fock approach for finite nuclei the part of the Urbana 3 nucleon (3N) force is considered, which represents the enhancement of the small components of the Dirac…

Nuclear Theory · Physics 2015-10-07 A. H. Lippok , H. Müther

We study the effects of general relativistic gravity on the Hill stability, that is, the stability of a multi-body system against a close approach of one orbit to another, which has been hitherto studied mainly in Newtonian mechanics and…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Haruka Suzuki , Yusuke Nakamura , Shoichi Yamada

Correlation functions of hadrons can be accessed in high-energy collisions of atomic nuclei, revealing information about the underlying interaction. This work complements experimental efforts to study nucleon-deuteron $Nd$ -- with $N=p$…

Nuclear Theory · Physics 2023-06-06 M. Viviani , S. König , A. Kievsky , L. E. Marcucci , B. Singh , O. Vázquez Doce

A covariant relativistic formalism for the electron-photon and nuclear dynamics is summarised making more accurate predictions in agreement with experiments for Compton scattering in shells with large electron binding energy. An exact…

History and Philosophy of Physics · Physics 2017-04-27 Salwa Alsaleh

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

We present a new derivation of the expressions for momentum and energy of a relativistic particle. In contrast to the procedures commonly adopted in textbooks, the one suggested here requires only the knowledge of the composition law for…

Classical Physics · Physics 2009-11-10 Sebastiano Sonego , Massimo Pin

Models, describing relativistic particles, where Lagrangian densities depend linearly on both the curvature and the torsion of the trajectories, are revisited in D=3 space forms. The moduli spaces of trajectories are completely and…

High Energy Physics - Theory · Physics 2009-11-10 Josu Arroyo , Manuel Barros , Oscar J. Garay

Radiative corrections are calculated for antineutrino proton quasielastic scattering, neutrino deuteron scattering, and the asymmetry of polarised neutron beta decay from which $G_{A}/G_{V}$ is determined. A particular emphasis is given to…

High Energy Physics - Phenomenology · Physics 2015-06-25 T. Kubota , M. Fukugita

Sensitivity of two-proton emitting decay to nuclear pairing correlation is discussed within a time-dependent three-body model. We focus on the $^6$Be nucleus assuming $\alpha + p + p$ configuration, and its decay process is described as a…

Nuclear Theory · Physics 2017-10-30 Tomohiro Oishi , Markus Kortelainen , Alessandro Pastore

Deuteron-${}^{3}\mathrm{He}$ reactions in the 15 to 40 MeV range are studied using a three-body model where the constructed nonlocal optical potentials rely on rigorous nucleon-${}^{3}\mathrm{He}$ scattering calculations. The differential…

Nuclear Theory · Physics 2024-12-18 A. Deltuva , D. Jurčiukonis

We assume a triple geometric structure for the electromagnetic nuclear interaction. This nuclear electromagnetism is used to calculate the binding energies of the alpha particle and the A=3 isobar nuclides. The approximation for the…

General Physics · Physics 2008-05-06 Gustavo R. Gonzalez-Martin

Trinucleon longitudinal response functions R_L(q,omega) are calculated for q values up to 500 MeV/c. These are the first calculations beyond the threshold region in which both three-nucleon (3N) and Coulomb forces are fully included. We…

Nuclear Theory · Physics 2009-11-10 Victor D. Efros , Winfried Leidemann , Giuseppina Orlandini , Edward L. Tomusiak

Coincidence scattering of polarized electrons from nuclei with polarization transfer to outgoing nucleons is studied within the context of relativistic mean field theory. Effects introduced by the dynamical enhancement of the lower…