Parametrization of gamma-ray production cross-sections for pp interactions in a broad proton energy range from the kinematic threshold to PeV energies

TL;DR

This paper provides accurate analytical parametrizations of gamma-ray production cross-sections from proton-proton interactions across a wide energy range, from threshold to PeV energies, using Monte Carlo simulations and published data.

Contribution

It introduces new simple analytical formulas for gamma-ray spectra and production rates in p--p interactions over a broad energy spectrum, improving modeling accuracy.

Findings

Parametrizations achieve ≤20% accuracy.

Applicable from kinematic threshold to PeV energies.

Based on Monte Carlo simulations and published data.

Abstract

Using publicly available Monte Carlo codes as well as compilation of published data on p--p interactions for proton kinetic energy below 2 GeV, we parametrize the energy spectra and production rates of $\gamma$-rays by simple but quite accurate ($\leq 20 \%$) analytical expressions in a broad range from the kinematic threshold to PeV energies.