A closer scrutiny of cosmic ray proton energy losses

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Hauptverfasser: Esmaeili, AmirFarzan, Esmaili, Arman, Serpico, Pasquale Dario
Format: Preprint
Veröffentlicht: 2024
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author Esmaeili, AmirFarzan
Esmaili, Arman
Serpico, Pasquale Dario
author_facet Esmaeili, AmirFarzan
Esmaili, Arman
Serpico, Pasquale Dario
contents The percent-level precision attained by modern cosmic ray (CR) observations motivates reaching a comparable or better control of theoretical uncertainties. Here we focus on energy-loss processes affecting low-energy CR protons ($\sim 0.1-5$ GeV), where the experimental errors are small and collisional effects play a comparatively larger role with respect to collisionless transport ones. We study three aspects of the problem: i) We quantitatively assess the role of the nuclear elastic cross-section, for the first time, providing analytical formulae for the stopping power and inelasticity. ii) We discuss the error arising from treating both elastic and pion production inelastic interactions as continuous energy loss processes, as opposed to catastrophic ones. The former is the approximation used in virtually all modern numerical calculations. iii) We consider sub-leading effects such as relativistic corrections, radiative and medium processes in ionization energy-losses. Our analysis reveals that neglecting i) leads to errors close to 1%, notably around and below 1 GeV; neglecting ii) leads to errors reaching about 3% within the considered energy range; iii) contributes to a minor effect, gauged at the level of 0.1%. Consequently, while iii) can currently be neglected, ii) warrants consideration, and we also recommend incorporating i) into computations. We conclude with some perspectives on further steps to be taken towards a high-precision goal of theoretical CR predictions regarding the treatment of energy-losses.
format Preprint
id arxiv_https___arxiv_org_abs_2403_18012
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A closer scrutiny of cosmic ray proton energy losses
Esmaeili, AmirFarzan
Esmaili, Arman
Serpico, Pasquale Dario
High Energy Physics - Phenomenology
High Energy Astrophysical Phenomena
The percent-level precision attained by modern cosmic ray (CR) observations motivates reaching a comparable or better control of theoretical uncertainties. Here we focus on energy-loss processes affecting low-energy CR protons ($\sim 0.1-5$ GeV), where the experimental errors are small and collisional effects play a comparatively larger role with respect to collisionless transport ones. We study three aspects of the problem: i) We quantitatively assess the role of the nuclear elastic cross-section, for the first time, providing analytical formulae for the stopping power and inelasticity. ii) We discuss the error arising from treating both elastic and pion production inelastic interactions as continuous energy loss processes, as opposed to catastrophic ones. The former is the approximation used in virtually all modern numerical calculations. iii) We consider sub-leading effects such as relativistic corrections, radiative and medium processes in ionization energy-losses. Our analysis reveals that neglecting i) leads to errors close to 1%, notably around and below 1 GeV; neglecting ii) leads to errors reaching about 3% within the considered energy range; iii) contributes to a minor effect, gauged at the level of 0.1%. Consequently, while iii) can currently be neglected, ii) warrants consideration, and we also recommend incorporating i) into computations. We conclude with some perspectives on further steps to be taken towards a high-precision goal of theoretical CR predictions regarding the treatment of energy-losses.
title A closer scrutiny of cosmic ray proton energy losses
topic High Energy Physics - Phenomenology
High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2403.18012