Complete Coulomb correction to the Molière screening angle

M. Bondarenco

doi:10.1140/epjc/s10052-022-10699-x

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Particles and Fields

Open Access

Eur. Phys. J. C (2022) 82: 870
https://doi.org/10.1140/epjc/s10052-022-10699-x

Regular Article - Experimental Physics

Complete Coulomb correction to the Molière screening angle

M. Bondarenco¹^,2^a

¹ NSC Kharkov Institute of Physics and Technology, 1 Academic St., 61108, Kharkov, Ukraine
² V.N. Karazin Kharkov National University, 4 Svobody Sq., 61077, Kharkov, Ukraine

^a m.bondarenco@desy.de

Received: 23 March 2022
Accepted: 11 August 2022
Published online: 4 October 2022

Abstract

Nonperturbative (Coulomb) correction to the Molière screening angle in the multiple Coulomb scattering theory is evaluated taking into account the inelastic contribution. Treating the atom as an assembly of pointlike electrons and the nucleus, and summing the scattering probability over all the final states of the atom, it is shown that besides the Coulomb correction due to close encounters of the incident charged particle with atomic nuclei, there are similar corrections due to close encounters with atomic electrons, being the counterpart of Bloch correction in ionization energy loss. For low $Z \neq 1$ $Z\ne 1$ the latter contribution can reach $\sim 25 %$ $\sim 25\%$ .

© The Author(s) 2022

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