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We review a three-dimensional formalism that provides a systematic way to include relativistic effects including relativistic kinematics, the effects of negative-energy states, and the boosts of the two-body system in calculations of…

Nuclear Theory · Physics 2007-05-23 Daniel R. Phillips

An empirical fit to electron-nucleus scattering for $A>2$ is made based on world data. It is valid for $0<W<3.2$ GeV and $0.2<Q^2<5$ GeV$^2$, and can be used with caution at lower $Q^2$. The fit is based on previous empirical fits to…

Nuclear Theory · Physics 2012-03-20 P. E. Bosted , V. Mamyan

We present a model for inclusive charged lepton-nucleon and (anti)neutrino-nucleon cross sections at momentum transfer squared, $Q^2$, $\sim1 {\rm GeV}^2$. We quantify the impact of existing low-Q charged-lepton deep-inelastic scattering…

High Energy Physics - Phenomenology · Physics 2014-11-18 S. Alekhin , S. A. Kulagin , R. Petti

We present our recent progress on the relativistic modeling of electron-nucleus reactions and compare our predictions with inclusive $^{12}$C ($e,e'$) experimental data in a wide kinematical region. The model, originally based on the…

Nuclear Theory · Physics 2016-07-29 G. D. Megias , J. E. Amaro , M. B. Barbaro , J. A. Caballero , T. W. Donnelly

A previously derived semi-microscopic analysis based on the Double Folding Model, for alpha-particle elastic scattering on A~100 nuclei at energies below 32 MeV, is extended to medium mass A ~ 50-120 nuclei and energies from ~13 to 50 MeV.…

Nuclear Experiment · Physics 2015-05-13 M. Avrigeanu , A. C. Obreja , F. L. Roman , V. Avrigeanu , W. von Oertzen

The Quasi-Elastic contribution of the nuclear inclusive electron scattering model developed in Nucl. Phys. A 627 (1997) 543 is extended to the study of electroweak Charged Current induced nuclear reactions, at intermediate energies of…

Nuclear Theory · Physics 2007-05-23 J. Nieves , J. E. Amaro , M. Valverde , E. Oset

Manifestly Lorentz-invariant baryon chiral perturbation theory is used to calculate the radiative correction of low energy elastic lepton proton scatterings. Corrections of differential cross section and charge asymmetry are given at chiral…

High Energy Physics - Phenomenology · Physics 2022-05-16 Xiong-Hui Cao , Qu-Zhi Li , Han-Qing Zheng

The so-called semi-relativistic expansion of the weak charged current in powers of the initial nucleon momentum is performed to describe charge-changing, quasielastic neutrino reactions $(\nu_\mu,\mu^-)$ at intermediate energies. The…

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

We have analyzed pion-nucleon scattering using the manifestly relativistic covariant framework of Infrared Regularization up to {\cal O}(q^3) in the chiral expansion, where q is a generic small momentum. We describe the low-energy phase…

Nuclear Theory · Physics 2011-06-06 J. M. Alarcon , J. Martin Camalich , J. A. Oller , L. Alvarez-Ruso

We systematically calculate the radiative corrections of order $\alpha/\pi$ to elastic muon-proton scattering at low momentum transfers. These include vacuum polarization, photon-loop form factors of the muon and the proton, two-photon…

High Energy Physics - Phenomenology · Physics 2022-04-20 Norbert Kaiser , Yong-Hui Lin , Ulf-G. Meißner

Relativistic models developed within the framework of the impulse approximation for quasielastic (QE) electron scattering and successfully tested in comparison with electron-scattering data have been extended to neutrino-nucleus scattering.…

Nuclear Theory · Physics 2012-12-13 Carlotta Giusti , Andrea Meucci

We describe the implementation of a model for charged-current quasi-elastic (CCQE) neutrino-nucleus scattering in the NEUT Monte Carlo event generator. This model employs relativistic momentum distributions obtained from mean field theory…

High Energy Physics - Experiment · Physics 2025-09-25 J. McKean , R. González-Jiménez , M. Kabirnezhad , J. M. Udías , Y. Uchida

We apply a subtracted dispersion relation formalism with the aim to improve predictions for the two-photon exchange corrections to elastic electron-proton scattering observables at finite momentum transfers. We study the formalism on the…

High Energy Physics - Phenomenology · Physics 2016-01-29 O. Tomalak , M. Vanderhaeghen

We analyze the radiative correction to high energy elastic electron-proton scattering of polarized electrons. We show that if the approximations inherent in the calculations developed by Tsai and given in the work of Mo and Tsai, which have…

Nuclear Theory · Physics 2009-11-06 L. C. Maximon , W. C. Parke

We employ a propagator technique to derive a new relativistic $1/\qq$ expansion of the structure function of a nucleus, composed of point-nucleons. We exploit non-relativistic features of low-momentum nucleons in the target and only treat…

Nuclear Theory · Physics 2009-11-07 S. A. Gurvitz , A. S. Rinat

Attempts to apply effective field theory (EFT) methods to nonrelativistic nucleon-nucleon (NN) scattering have raised questions about the nature and limitations of an EFT expansion when used nonperturbatively. We discuss the characteristics…

Nuclear Theory · Physics 2009-10-31 James V. Steele , R. J. Furnstahl

Experimental form factors of the hydrogen and helium isotopes, extracted from an up-to-date global analysis of cross sections and polarization observables measured in elastic electron scattering from these systems, are compared to…

A relativistic Green's function and a distorted-wave impulse-approximation approach to charged- and neutral-current neutrino-nucleus quasielastic scattering are developed. Results for the neutrino (antineutrino) reactions on $^{16}$O and…

Nuclear Theory · Physics 2017-08-23 Andrea Meucci , Carlotta Giusti , Franco Davide Pacati

The use of quasi-elastic electron nucleus scattering is shown to provide significant constraints on models of the proton electromagnetic form factor of off-shell nucleons. Such models can be constructed to be consistent with constraints…

Nuclear Theory · Physics 2013-05-30 Gerald A. Miller , Anthony W. Thomas , Jonathan D. Carroll

The study of neutrino-nucleus scattering processes is important for the new generation neutrino experiments for better understanding of the neutrino oscillation phenomenon. A significant source of uncertainty in the cross-section comes from…

High Energy Physics - Phenomenology · Physics 2025-01-10 Sam Carey