On the theory of coherent pair production in crystals in presence of acoustic waves

TL;DR

This paper investigates how hypersonic acoustic waves in crystals influence electron-positron pair creation by high-energy photons, showing that these waves can significantly enhance the process under certain conditions.

Contribution

It derives the coherent differential cross-section for pair creation in crystals with hypersonic waves and identifies conditions for significant cross-section enhancement.

Findings

Hypersonic waves can notably increase pair creation cross-section.

The differential cross-section depends on wave amplitude and number.

Specific parameters lead to remarkable effects on pair production.

Abstract

The influence of hypersonic waves excited in a single crystal is investigated on the process of electron-positron pair creation by high-energy photons. The coherent part of the corresponding differential cross-section is derived as a function of the amplitude and wave number of the hypersound. The values of the parameters are specified for which the latter affects remarkably on the pair creation cross-section. It is shown that under certain conditions the presence of hypersonic waves can result in enhancement of the process cross-section.