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The quasiclassical Green functions of the Dirac and Klein-Gordon equations in the external electric field are obtained with the first correction taken into account. The relevant potential is assumed to be localized, while its spherical…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. N. Lee , A. I. Milstein , V. M. Strakhovenko

We provide a parametrization of a new phenomenological scaling function obtained from a chi-square fit to a selected set of (e,e') cross section data expanding a band centered around the quasielastic peak. We start from a re-analysis of…

Nuclear Theory · Physics 2017-04-19 J. E. Amaro , E. Ruiz Arriola , I. Ruiz Simo

Spectral functions do not fully describe quasielastic electron and neutrino scattering from nuclei because they only model the initial state. Final state interactions distort the shape of the differential cross section at the peak and…

Nuclear Theory · Physics 2016-06-02 A. Bodek , M. E. Christy , B. Coopersmith

We perform a global analysis of all available electron-deuteron quasielastic scattering data using Q^2-dependent smearing functions that describe inclusive inelastic e-d scattering within the weak binding approximation. We study the…

Nuclear Theory · Physics 2014-06-18 J. J. Ethier , N. Doshi , S. Malace , W. Melnitchouk

The article discusses the correctness of the assumption about the similarity of molecular continuum electron functions with wave functions in electron-atom scattering. The elastic scattering of slow particles by pair of non-overlapping…

Atomic Physics · Physics 2022-08-01 A. S. Baltenkov , I. Woiciechowski

We present a continuum random phase approximation approach to study electron- and neutrino-nucleus scattering cross sections, in the kinematic region where quasielastic scattering is the dominant process. We show the validity of the…

Nuclear Theory · Physics 2015-08-07 V. Pandey , N. Jachowicz , T. Van Cuyck , J. Ryckebusch , M. Martini

We consider small--angle electron--positron scattering in Quantum Electrodynamics. Leading logarithmic contributions to the cross--section are explicitly calculated to three loop. Next--to--leading terms are exactly computed to two loop.…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. B. Arbuzov , V. S. Fadin , E. A. Kuraev , L. N. Lipatov , N. P. Merenkov , L. G. Trentadue

We use a recent scaling analysis of the quasielastic electron scattering data from $^{12}$C to predict the quasielastic charge-changing neutrino scattering cross sections within an uncertainty band. We use a scaling function extracted from…

Nuclear Theory · Physics 2018-06-13 I. Ruiz Simo , V. L. Martinez-Consentino , J. E. Amaro , E. Ruiz Arriola

An eikonal expansion is developed in order to provide systematic corrections to the eikonal approximation through order 1/k^2, where k is the wave number. The expansion is applied to wave functions for the Klein-Gordon equation and for the…

Nuclear Theory · Physics 2011-07-19 J. A. Tjon , S. J. Wallace

Coulomb corrections for quasi-elastic scattering of electrons by nuclei are calculated using eikonal distorted waves. Corrections to the lowest-order eikonal approximation are included in order to obtain accurate results. Spin-dependent…

Nuclear Theory · Physics 2008-11-26 J. A. Tjon , S. J. Wallace

We present an improved version of the Superscaling Analysis with Relativistic Effective Mass, denoted as SuSAM-v2. In the original SuSAM model, a universal scaling function was fitted to a selected set of quasielastic electron scattering…

High Energy Physics - Phenomenology · Physics 2025-07-30 V. L. Martinez-Consentino , P. R. Casale , J. E. Amaro

For chaotic scattering on quantum graphs, the semiclassical approximation is exact. We use this fact and employ supersymmetry, the colour-flavour transformation, and the saddle-point approximation to calculate the exact expression for the…

Chaotic Dynamics · Physics 2015-06-16 Z. Pluhar , H. A. Weidenmüller

The role of the effective momentum approximation to disentangle Coulomb distortion effects in quasielastic $(e,e')$ reactions is investigated. The separation of the cross section in longitudinal and transverse components is discussed…

Nuclear Theory · Physics 2009-11-07 Marco Traini

We present a detailed study of a continuum random phase approximation approach to quasielastic electron-nucleus and neutrino-nucleus scattering. The formalism is validated by confronting ($e,e'$) cross-section predictions with electron…

Nuclear Theory · Physics 2015-08-11 V. Pandey , N. Jachowicz , T. Van Cuyck , J. Ryckebusch , M. Martini

Recent reviews in ultrafast electron diffraction (UED) have claimed that relativistic electrons exhibit enhanced elastic scattering efficiency, frequently quantified as a \gamma^2 increase in the differential cross section. These claims,…

Accelerator Physics · Physics 2025-09-24 Grant Brassem , Christian Viernes , German Sciaini

We calculate to next-to-leading order accuracy the high-energy elastic scattering cross section for an electron off of a classical point source. We use the $\overline{\mathrm{MS}}$ renormalization scheme to tame the ultraviolet divergences…

High Energy Physics - Phenomenology · Physics 2017-07-03 Abdullah Khalil

The semi-exclusive averaged reduced cross sections for (anti)neutrino charged current quasi-elastic scattering on carbon, oxygen, and argon are analyzed within the relativistic distorted wave impulse approximation. We found that these cross…

High Energy Physics - Phenomenology · Physics 2023-10-09 A. V. Butkevich

We consider quantum scattering from a compactly supported potential $q$. The semiclassical limit amounts to letting the wavenumber $k \to \infty$ while rescaling the potential as $k^2 q$ (alternatively, one can scale Planck's constant…

Mathematical Physics · Physics 2009-12-14 E. Lakshtanov

Electron polarimeters based on Mott scattering are extensively used in different fields in physics such as atomic, nuclear or particle physics. This is because spin-dependent measurements gives additional information on the physical…

Atomic Physics · Physics 2018-02-06 X. Roca-Maza

An extended study of scaling of the first and second kinds for inclusive electron scattering from nuclei is presented. Emphasis is placed on the transverse response in the kinematic region lying above the quasielastic peak. In particular,…

Nuclear Theory · Physics 2009-11-07 C. Maieron , T. W. Donnelly , I. Sick
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