Proton-air interactions at ultra-high energies in muon-depleted air showers with different depths

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Main Authors: Cazon, Lorenzo, Conceição, Ruben, Martins, Miguel Alexandre, Riehn, Felix
Format: Preprint
Published: 2024
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author Cazon, Lorenzo
Conceição, Ruben
Martins, Miguel Alexandre
Riehn, Felix
author_facet Cazon, Lorenzo
Conceição, Ruben
Martins, Miguel Alexandre
Riehn, Felix
contents The hardness of the energy spectrum of neutral pions produced in proton-air interactions at ultra-high energies, above $10^{18}$ eV, is constrained by the steepness of the shower-to-shower distribution of the number of muons in muon-depleted extensive air showers. In this work, we find that this steepness, quantified by the parameter $Λ_μ$, evolves with the depth of the shower maximum, $X_{\max}$, assuming a universal value for shallow showers and an enhanced dependence on the high-energy hadronic interaction model for deep showers. We show that Xmax probes the so-called hadronic activity of the first interaction, thus allowing direct access to the energy spectrum of neutral pions in different regions of the kinematic phase space of the first interaction. We verify that the unbiased measurement of $Λ_μ$ is possible for realistic mass composition expectations. Finally, we infer that the statistical precision in $Λ_μ$ required to distinguish between hadronic interaction models can be achieved in current extensive air shower detectors, given their resolution and exposure.
format Preprint
id arxiv_https___arxiv_org_abs_2406_08620
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Proton-air interactions at ultra-high energies in muon-depleted air showers with different depths
Cazon, Lorenzo
Conceição, Ruben
Martins, Miguel Alexandre
Riehn, Felix
High Energy Astrophysical Phenomena
The hardness of the energy spectrum of neutral pions produced in proton-air interactions at ultra-high energies, above $10^{18}$ eV, is constrained by the steepness of the shower-to-shower distribution of the number of muons in muon-depleted extensive air showers. In this work, we find that this steepness, quantified by the parameter $Λ_μ$, evolves with the depth of the shower maximum, $X_{\max}$, assuming a universal value for shallow showers and an enhanced dependence on the high-energy hadronic interaction model for deep showers. We show that Xmax probes the so-called hadronic activity of the first interaction, thus allowing direct access to the energy spectrum of neutral pions in different regions of the kinematic phase space of the first interaction. We verify that the unbiased measurement of $Λ_μ$ is possible for realistic mass composition expectations. Finally, we infer that the statistical precision in $Λ_μ$ required to distinguish between hadronic interaction models can be achieved in current extensive air shower detectors, given their resolution and exposure.
title Proton-air interactions at ultra-high energies in muon-depleted air showers with different depths
topic High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2406.08620