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In this paper, we have applied a three-dimensional approach for calculation of the relativistic nucleon-nucleon potential. The quadratic operator relation between the non-relativistic and the relativistic nucleon-nucleon interactions is…

Nuclear Theory · Physics 2017-02-07 M. R. Hadizadeh , M. Radin

The relativistic two-body potentials of constraint theory for systems composed of two spin-0 or two spin-1/2 particles are calculated, in perturbation theory, by means of the Lippmann-Schwinger type equation that relates them to the…

High Energy Physics - Phenomenology · Physics 2009-10-28 H. Jallouli , H. Sazdjian

A Euclidean formulation of relativistic quantum mechanics for systems of a finite number of degrees of freedom is discussed. Relativistic treatments of quantum theory are needed to study hadronic systems at sub-hadronic distance scales.…

Nuclear Theory · Physics 2021-02-10 Gohin Shaikh Samad , W. N. Polyzou

The deuteron-proton elastic scattering is studied in the multiple scattering expansion formalism. The contributions of the one-nucleon-exchange, single- and double scattering are taken into account. The Love and Franey parameterization of…

Nuclear Theory · Physics 2009-11-05 N. B. Ladygina

The particle exchange model of hadron interactions can be used to describe three-body scattering under the isobar assumption. In this study we start from the 3->3 scattering amplitude for spinless particles, which contains an…

Nuclear Theory · Physics 2017-09-12 M. Mai , B. Hu , M. Doring , A. Pilloni , A. Szczepaniak

We discuss a relativistic theory of the atomic nuclei in the framework of the hamiltonian formalism and of the mesonic model of the nucleus. Attention is paid to the translational invariance of the theory. Our approach is centered on the…

Nuclear Theory · Physics 2008-11-26 R. Cenni , A. Molinari , G. Vagradov

The purpose of this work is to find the time dependent distributions of directions and positions of a particle that undergoes multiple elastic scattering. The angular cross section is given and the scatterers are randomly placed. The…

Disordered Systems and Neural Networks · Physics 2007-05-23 Ricardo Garcia-Pelayo

The relativistic optical model potential (OMP) for nucleon-nucleus scattering is investigated in the framework of Dirac-Brueckner-Hartree-Fock (DBHF) approach using the Bonn-B One-Boson- Exchange potential for the bare nucleon-nucleon…

Nuclear Theory · Physics 2015-06-04 Ruirui Xu , Zhongyu Ma , E. N. E. van Dalen , H. Muther

This work presents an extensive exploration of scattering and tunneling involving composite objects with intrinsic degrees of freedom. We aim at exact solutions to such scattering problems. Along this path we demonstrate solution to model…

Nuclear Theory · Physics 2011-01-28 Naureen Ahsan , Alexander Volya

A first-principles theory of resonant magnetic scattering of x rays is presented. The scattering amplitudes are calculated using a standard time-dependent perturbation theory to second order in the electron-photon interaction vertex. In…

Strongly Correlated Electrons · Physics 2009-11-10 E. Arola , M. Horne , P. Strange , H. Winter , Z. Szotek , W. M. Temmerman

The coherent process of particle deflection by aligned atomic strings and planes of oriented crystals is accompanied by incoherent scattering by atomic cores. While the coherent particle deflection, described by the axial or planar averaged…

Accelerator Physics · Physics 2020-04-14 Victor V. Tikhomirov

Nonperturbative polaron variational methods are applied, within the so-called particle or worldline representation of relativistic field theory, to study scattering in the context of the scalar Wick - Cutkosky model. Important features of…

Nuclear Theory · Physics 2009-10-30 C. Alexandrou , R. Rosenfelder , A. W. Schreiber

Within the framework of electroweak theory, we investigate the elastic scattering process $ e^{-} + \nu_{\mu} \rightarrow e^{-} + \nu_{\mu}$ in the presence of an intense elliptically polarized laser field. We derive an analytical…

High Energy Physics - Phenomenology · Physics 2022-12-28 R. Chahri , S. El Asri , S. Mouslih , M. Jakha , B. Manaut , S. Taj

The transition-matrix ($T$-matrix) approach provides a general formalism to study scattering problems in various areas of physics, including acoustics (scalar fields) and electromagnetics (vector fields), and is related to the theory of the…

Optics · Physics 2016-02-08 Eric C. Le Ru , Walter R. C. Somerville , Baptiste Auguié

We review basic theoretical concepts to describe nuclear collisions at ultrarelativistic energies. We discuss relativistic strings, Gribov--Regge theory (GRT) of hadronic interactions and string models based on GRT, and finally…

Nuclear Theory · Physics 2011-04-15 Klaus Werner

The relative roles of multiple electron scattering and in-molecule free-space propagation in transmission electron microscopy of small molecules are discussed. It is argued that while multiple scattering tends to have only a moderate effect…

Image and Video Processing · Electrical Eng. & Systems 2019-12-02 T. E. Gureyev , H. M. Quiney , A. Kozlov , L. J. Allen

In the frame work of relativistic mean field (RMF) theory, we calculate the density distribution of protons and neutrons for $^{40,42, 44,48}Ca$ with NL3 and G2 parameter sets. The microscopic proton-nucleus optical potential for…

Nuclear Theory · Physics 2010-12-24 M. Bhuyan , R. N. Panda , T. R. Routray , S. K. Patra

For the calculation of polarization transfer observables for quasielastic scattering of protons on nuclei, a formalism in the context of the Relativistic Plane Wave Impulse Approximation is developed, in which the interaction matrix is…

Nuclear Theory · Physics 2008-11-26 B. I. S. van der Ventel , G. C. Hillhouse , P. R. De Kock , S. J. Wallace

The nucleus-nucleus interaction potential has been studied within the relativistic mean field theory. The systematics of the relativistic effects have been investigated by analyzing the relation between the potential and the bombarding…

Nuclear Theory · Physics 2011-02-23 Wen Hui Long , Carlos A. Bertulani

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