Abstract
Using the approach developed earlier for the description of the electron-photon showers in axially aligned single crystals, some characteristics of the positron yield measured in recent experiments are calculated. Theoretical estimations display a rather good agreement with experimental results obtained using 3 to 10 GeV electrons aligned to the $⟨111⟩$ axis of the tungsten crystals. Such comparison verified that the accuracy of our approach is quite sufficient to make a reliable choice for optimal parameters of the positron source using axially aligned crystals for future linear colliders.
Highlights
An efficient positron source is one of the important components of future electron-positron colliders
The basic processes involved in the shower development are typically considerably enhanced in oriented crystals as compared with corresponding amorphous media
The most pronounced effects take place at axial alignment when initial electrons are moving along the main axes of a crystal
Summary
An efficient positron source is one of the important components of future electron-positron colliders. The enhancement of radiation from initial electrons is thereby the main crystal effect in this energy region. The substantial advance in the description of shower formation at axial alignment was caused by the invention of the semiphenomenological radiation spectrum [12]. This allows one to consider the relatively low (of a few GeV) energy range of the initial electrons which is presumed for the efficient positron source. The softness of the photon spectra is another important feature of the crystal radiator giving additional advantages for the positron production in comparison with the entirely amorphous target. The experimental results and our theoretical estimations presented display a rather good agreement with each other
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