Coulomb corrections to the parameters of the Molière multiple scattering theory

Abstract

High-energy Coulomb corrections to the parameters of the Molière multiple scattering theory are obtained. Numerical calculations are presented in the range of the nuclear charge number of the target atom 6 Z 92. It is shown that these corrections have a large value for sufficiently heavy elements of the target material and should be taken into account in describing high-energy experiments with nuclear targets.

Backward Monte-Carlo applied to muon transport

“…a Wentzel distribution. The atomic screening parameter is taken from Kuraev et al [28]. It includes high energy Coulomb corrections to Moliere's first estimate.…”

Coulomb corrections to the parameters of the Landau-Pomeranchuk-Migdal effect theory

“…Recently, it has been shown [29] by means of [5] that for any model of the atom the following rigorous relation determining the screening angular parameter θ a is valid:…”

“…The use of approximate Molière's result(28) or(29) for θa would give the value R(ω)|ω ωcr = 0.900 in the discussed case.…”

Application of a Revised Moliere Theory to the Description of the Landau-Pomeranchuk Effect

“…The aim of this work is to show that the discussed discrepancy can be explained at least for high Z targets if the corrections to the results of the Born approximation (i.e. the Coulomb corrections) are appropriately considered on the basis of a revised version of the Molière multiple scattering theory [37,38].…”

“…The paper is organized as follows. In Section 2 we consider the basic formulae of the conventional [3] and a revised [37,38] small-angle Molière multiple scattering theory applying in the next Section to the theory of the LPM effect and its analogue for a thin layer of an amorphous medium [39,40]. We also determine analytically and numerically the Coulomb corrections to some important parameters of the Molière theory for the target materials used in [28].…”