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In evaluating differential cross section of elastic scattering, different theories were applied to low-momentum and relativistic particles. For low-momentum motion, Lippmann-Schwinger scattering equation was applied, called fundamental…

General Physics · Physics 2022-09-14 Huai-Yu Wang

Kinematical relativistic effects are analyzed within the plane-wave impulse approximation for outgoing nucleon polarized responses in coincidence electron scattering. Following recent approaches for non-relativistic reductions of the…

Nuclear Theory · Physics 2016-08-16 M. C. Martínez , J. A. Caballero , T. W. Donnelly

Relativistic corrections to the reaction kinematic parameters were made for elastic scattering of \nuc{6}{Li}, \nuc{12}{C} and \nuc{40}{Ar} from \nuc{40}{Ca}, \nuc{90}{Zr}, and \nuc{208}{Pb} targets at incident energies between 20 and 100…

Nuclear Experiment · Physics 2018-10-02 Pang Dan-Yang

We investigate the role of relativistic and nonrelativistic optical potentials used in the analysis of ($e,e'p$) data. We find that the relativistic calculations produce smaller ($e,e'p$) cross sections even in the case in which both…

Nuclear Theory · Physics 2009-09-25 J. M. Udias , P. Sarriguren , E. Moya de Guerra , E. Garrido , J. A. Caballero

Differential cross sections for electromagnetic dissociation in nucleus-nucleus collisions are calculated. The kinetic energy distribution is parameterized with a Boltzmann distribution and the angular distribution is assumed isotropic in…

Nuclear Theory · Physics 2008-11-26 John W. Norbury , Anne Adamczyk

The differential cross section for elastic scattering of protons on electrons at rest is calculated taking into account the QED radiative corrections to the leptonic part of interaction. These model-independent radiative corrections arise…

High Energy Physics - Phenomenology · Physics 2017-06-28 G. I. Gakh , M. I. Konchatnij , N. P. Merenkov , Egle Tomasi-Gustafsson

Some useful kinematical relations for the absorption of a photon by a nucleus and its recoil are derived for the relativistic incident energies. These expressions provided for the relativistic kinematics of photoabsorption reactions, though…

Nuclear Theory · Physics 2009-10-19 D. N. Basu , Tapan Mukhopadhyay

Main nuclear corrections for inelastic scattering of charged leptons on nuclei, namely shadowing, EMC-effect and Fermi motion have been investigated. Simple formulas describing these effects for different x-regions have been proposed, and…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. A. Timashkov

A new non-relativistic expansion in terms of the nucleon's momentum inside nuclear matter of the current for isobar electro-excitation from the nucleon is performed. Being exact with respect to the transferred energy and momentum, this…

Nuclear Theory · Physics 2008-11-26 J. E. Amaro , M. B. Barbaro , J. A. Caballero , T. W. Donnelly , A. Molinari

Cross sections and spin asymmetries for elastic positron scattering and for the emission of positron bremsstrahlung in collision with nuclei of zero and half-integer spin are calculated within the relativistic partial-wave theory. For…

Atomic Physics · Physics 2018-03-01 D. H. Jakubassa-Amundsen

The eikonal, partial wave (PW) Lippmann-Schwinger, and three-dimensional Lippmann- Schwinger (LS3D) methods are compared for nuclear reactions that are relevant for space radiation applications. Numerical convergence of the eikonal method…

Nuclear Theory · Physics 2015-06-22 Charles M. Werneth , Khin M. Maung , William P. Ford , John W. Norbury , Michael D. Vera

The electroweak response functions for inclusive electron scattering are calculated in the Relativistic Fermi Gas model, both in the quasi-elastic and in the $\Delta$ peak regions. The impact of relativistic kinematics at high momentum…

Nuclear Theory · Physics 2016-11-23 Maria B. Barbaro

Three precise measurements for elastic pd scattering at 135 MeV/A have been performed with the three different experimental setups. The cross sections are described well by the theoretical predictions based on modern nucleon-nucleon forces…

Calculations are made of the $K^{+}+^{12}$C, $^{40}$Ca differential elastic scattering cross sections at the beam momenta 0.635, 0.715, and 0.8 GeV/c. To this end the microscopic optical potential derived in the high-energy approximation…

Nuclear Theory · Physics 2009-01-16 V. K. Lukyanov , E. V. Zemlyanaya , K. V. Lukyanov , K. M. Hanna

We extend the equations of motion that describe non-relativistic elastic collision of two particles in one dimension to an arbitrary associative algebra. Relativistic elastic collision equations turn out to be a particular case of these…

Exactly Solvable and Integrable Systems · Physics 2024-12-05 Pavlos Kassotakis , Theodoros Kouloukas , Maciej Nieszporski

We investigate the difference between those relativistic models based on interpreting a realistic nucleon-nucleon interaction as a perturbation of the square of a relativistic mass operator and those models that use the method of Kamada and…

Nuclear Theory · Physics 2009-11-06 T. W. Allen , G. L. Payne , Wayne N. Polyzou

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

The parity violating longitudinal asymmetry ${\cal A}$ is calculated for quasielastic electron scattering. We use a variety of relativistic mean field models for the response of nuclear matter and $^{12}$C at a momentum transfer of q=550…

Nuclear Theory · Physics 2008-11-26 C. J. Horowitz , J. Piekarewicz

By evaluating all the contributions of the intermediate states of the multiple scattering theory diagrams, we compute the integrated stripping cross sections of collisions among light nuclei. The resulting expressions have the simple form…

High Energy Physics - Phenomenology · Physics 2009-10-31 Yu. M. Shabelski , D. Treleani

Two relativistic approaches are considered to evaluate the quasielastic double-differential and integrated neutrino-nucleus cross sections. One, based on the relativistic impulse approximation, relies on the microscopic description of…

Nuclear Theory · Physics 2011-09-08 J. E. Amaro , M. B. Barbaro , J. A. Caballero , T. W. Donnelly , J. M. Udias
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