Production cross sections of gamma-rays, electrons, and positrons in p-p collisions

Abstract

Because the production cross sections of gamma-rays, electrons, and positrons made in p-p collisions, ${\sigma }_{pp\to \gamma }$ and ${\sigma }_{pp\to e^{\pm }}$, respectively, are kinematically equivalent with respect to the parent pion-production cross section ${\sigma }_{pp\to \pi }$, we obtain ${\sigma }_{pp\to e^{\pm }}$ directly from the machine data on ${\sigma }_{pp\to \gamma }$. In Sato et al. (2012), we give explicitly ${\sigma }_{pp\to \gamma }$, reproducing quite well the accelerator data with LHC, namely ${\sigma }_{pp\to e^{\pm }}$ is applicable enough over the wide energy range from GeV to 20\,PeV for projectile proton energy. We dicuss in detail the relation between the cross sections, and present explicitly ${\sigma }_{pp\to e^{\pm }}$ that are valid into the PeV electron energy.

27 pages, 2 tables, 4 figures. Version after major revision. Accepted for publication in Astroparticle Physics; paper can be also downloaded from http://www.phys.aoyama.ac.jp/~ryo/papers/pp-collision2_ApP.pdf

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