Angular Power Spectrum of TeV–PeV Cosmic-Ray Anisotropies

Simulations of the cosmic-ray (CR) anisotropy down to TeV energies are presented, using turbulence parameters consistent with those inferred from observations of the interstellar medium. We compute the angular power spectra C _ℓ of the CR anisotropy obtained from the simulations. We demonstrate that...

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Main Authors: Wenyi Bian, Gwenael Giacinti, Brian Reville
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Series:The Astrophysical Journal
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Online Access:https://doi.org/10.3847/1538-4357/ada441
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author Wenyi Bian
Gwenael Giacinti
Brian Reville
author_facet Wenyi Bian
Gwenael Giacinti
Brian Reville
author_sort Wenyi Bian
collection DOAJ
description Simulations of the cosmic-ray (CR) anisotropy down to TeV energies are presented, using turbulence parameters consistent with those inferred from observations of the interstellar medium. We compute the angular power spectra C _ℓ of the CR anisotropy obtained from the simulations. We demonstrate that the amplitude of the large-scale gradient in the CR density profile affects only the overall normalization of the C _ℓ values, without affecting the shape of the angular power spectrum. We show that the power spectrum depends on CR energy and that it is sensitive to the location of the observer at small ℓ . It is found to flatten at large ℓ and can be modeled by a broken power law, exhibiting a break at ℓ  ≈ 4. Our computed power spectrum at ~10 TeV fits well HAWC and IceCube measurements. Moreover, we calculate all coefficients of the spherical harmonics and compute the component of the angular power spectrum projected onto the direction of the local magnetic field line. We find that deviations from gyrotropy become increasingly important at higher CR energies and larger values of ℓ .
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spelling doaj-art-63ab75b2bd364d1483701265e36c3ad02025-01-28T06:22:52ZengIOP PublishingThe Astrophysical Journal1538-43572025-01-01979219710.3847/1538-4357/ada441Angular Power Spectrum of TeV–PeV Cosmic-Ray AnisotropiesWenyi Bian0https://orcid.org/0009-0003-1164-8945Gwenael Giacinti1https://orcid.org/0000-0001-9745-5738Brian Reville2https://orcid.org/0000-0002-3778-1432Tsung-Dao Lee Institute, Shanghai Jiao Tong University , Shanghai 201210, People’s Republic of China ; bianwenyi@sjtu.edu.cn, gwenael.giacinti@sjtu.edu.cn; School of Physics and Astronomy, Shanghai Jiao Tong University , Shanghai 200240, People’s Republic of ChinaTsung-Dao Lee Institute, Shanghai Jiao Tong University , Shanghai 201210, People’s Republic of China ; bianwenyi@sjtu.edu.cn, gwenael.giacinti@sjtu.edu.cn; School of Physics and Astronomy, Shanghai Jiao Tong University , Shanghai 200240, People’s Republic of China; Key Laboratory for Particle Physics , Astrophysics and Cosmology (Ministry of Education) & Shanghai Key Laboratory for Particle Physics and Cosmology, Shanghai 200240, People’s Republic of ChinaMax-Planck-Institut für Kernphysik , Postfach 103980, 69029 Heidelberg, GermanySimulations of the cosmic-ray (CR) anisotropy down to TeV energies are presented, using turbulence parameters consistent with those inferred from observations of the interstellar medium. We compute the angular power spectra C _ℓ of the CR anisotropy obtained from the simulations. We demonstrate that the amplitude of the large-scale gradient in the CR density profile affects only the overall normalization of the C _ℓ values, without affecting the shape of the angular power spectrum. We show that the power spectrum depends on CR energy and that it is sensitive to the location of the observer at small ℓ . It is found to flatten at large ℓ and can be modeled by a broken power law, exhibiting a break at ℓ  ≈ 4. Our computed power spectrum at ~10 TeV fits well HAWC and IceCube measurements. Moreover, we calculate all coefficients of the spherical harmonics and compute the component of the angular power spectrum projected onto the direction of the local magnetic field line. We find that deviations from gyrotropy become increasingly important at higher CR energies and larger values of ℓ .https://doi.org/10.3847/1538-4357/ada441Galactic cosmic rays
spellingShingle Wenyi Bian
Gwenael Giacinti
Brian Reville
Angular Power Spectrum of TeV–PeV Cosmic-Ray Anisotropies
The Astrophysical Journal
Galactic cosmic rays
title Angular Power Spectrum of TeV–PeV Cosmic-Ray Anisotropies
title_full Angular Power Spectrum of TeV–PeV Cosmic-Ray Anisotropies
title_fullStr Angular Power Spectrum of TeV–PeV Cosmic-Ray Anisotropies
title_full_unstemmed Angular Power Spectrum of TeV–PeV Cosmic-Ray Anisotropies
title_short Angular Power Spectrum of TeV–PeV Cosmic-Ray Anisotropies
title_sort angular power spectrum of tev pev cosmic ray anisotropies
topic Galactic cosmic rays
url https://doi.org/10.3847/1538-4357/ada441
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