Analytical approximations of the Lindhard equations describing radiation effects
S.Lazanu, I.Lazanu

TL;DR
This paper derives analytical approximations of Lindhard equations to model radiation effects, covering various media compositions and particle types, and discusses their limits at high energies.
Contribution
It introduces new analytical approximate solutions to Lindhard equations for complex media and different particle types, expanding the theoretical understanding of radiation effects.
Findings
Derived analytical solutions for single and multi-species media
Analyzed special cases and high-energy limits
Enhanced modeling of radiation interactions in materials
Abstract
Starting from the general Lindhard theory describing the partition of particles energy in materials between ionisation and displacements, analytical approximate solutions have been derived, for media containing one and more atomic species, for particles identical and different to the medium ones. Particular cases, and the limits of these equations at very high energies are discussed.
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