Abstract
A correlation between the angle of multiple scattering and the ionization energy loss for relativistic electrons in an amorphous medium is computed by solving the combined transport equation. The correlation is found to be the most pronounced at deflection angles larger than typical, reflecting the underlying single-scattering kinematical correlation, but is also sizable at typical deflection angles, where the width of the angular distribution increases with the increase of the energy loss. The mean energy loss as a function of the deflection angle is calculated. It grows quadratically both at small and at large angles, but the proportionality coefficient at large angles is greater than at small ones.
Highlights
Fast charged particles passing through amorphous matter deflect and lose energy by elastic and inelastic collisions with randomly located atoms
The corresponding angular distribution was calculated by Moliere [1], while the ionization energy loss distribution, by Landau [2], with subsequent refinements summarized in [3,4,5,6,7,8,9]
Those theories only correspond to simplest experimental configurations, in which the fast particle emerging from the target is directed into a single large detector measuring only one of the numbers characterizing the particle motion at the expense of erasing the rest of the information
Summary
Fast charged particles passing through amorphous matter deflect and lose energy by elastic and inelastic collisions with randomly located atoms. In problems of high-energy multiple scattering in matter, it may important to investigate angle-energy loss correlation induced by a charged pointlike particle scattering on individual atomic electrons (hard incoherent scattering) This effect is expected to be the strongest for incident electrons or positrons, because a projectile of the same mass as the struck electrons will be able to transfer them a large fraction of its kinetic energy in “head-on” collisions. In the multiple scattering regime, the solution further simplifies based on the same logarithmic approximations as in Moliere, Fano, and Landau theories, whose ranges of validity have a broad enough intersection It proves that for characterization of the substance, there is no need to introduce phenomenological parameters other than the elastic and inelastic screening angles χa and χin, and the mean excitation energy Iδ including the density correction δ.
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