Muon's Behaviors under Bremsstrahlung with both the LPM effect and the Ter-Mikaelian effect and Direct Pair Production with the LPM effect

TL;DR

This paper calculates muon interaction cross sections and related properties in various materials, considering the LPM and Ter-Mikaelian effects, to understand their impact on muon behavior and survival probabilities.

Contribution

It provides detailed calculations of muon cross sections and depth-related properties incorporating both the LPM and Ter-Mikaelian effects, highlighting their significance.

Findings

LPM effect significantly alters bremsstrahlung cross sections

Dielectric suppression (Ter-Mikaelian effect) impacts muon interactions

Depth intensity and survival probabilities are affected by these effects

Abstract

Differential and integral cross sections of the muon are calculated in the materials: water, standard rock, iron and lead with and without the LPM effect. The corresponding cross sections are also calculated with dielectric supression effect (Ter-Mikaelian effect), in addition to the LPM effect. To demonstrate the importance of the LPM effect in the bremsstrahlung process, depth intensity relation of muon, energy spectrum, range distribution and survival probability are calculated taking into account bremsstrahlung spectrum.