An expression for the Mott cross section of electrons and positrons on nuclei with Z up t0 118

In the present work, an improved numerical solution for determining the ratio,\(\mathcal{R}^{\rm Mott}\), of the unscreened Mott differential cross section (MDCS) with respect to Rutherford's formula is proposed for the scattering of electrons and positrons on nuclei with \(1\leq Z \leq 118\)....

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Published inarXiv.org
Main Authors Boschini, M J, Consoland, C, Gervasi, M, Giani, S, Grandi, D, Ivanchenko, V, Nieminem, P, Pensotti, S, Rancoita, P G, Tacconi, M
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 22.04.2013
Subjects
Electrons
Leptons
Nuclear cross sections
Nuclei (nuclear physics)
Positrons
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Summary:In the present work, an improved numerical solution for determining the ratio,\(\mathcal{R}^{\rm Mott}\), of the unscreened Mott differential cross section (MDCS) with respect to Rutherford's formula is proposed for the scattering of electrons and positrons on nuclei with \(1\leq Z \leq 118\). It accounts for incoming lepton energies between 1\,keV and 900\,MeV. For both electrons and positrons, a fitting formula and a set of fitting coefficients for the ratio \(\mathcal{R}^{\rm Mott}\) on nuclei are also presented. The found average error of the latter practical interpolated expression is typically lower than 1% also at low energy for electrons and lower than 0.05% for positrons for all nuclei over the entire energy range.
ISSN:2331-8422