Propagation of Ultra-High Energy Cosmic Rays above $10^{19}$ eV in a Structured Extragalactic Magnetic Field and Galactic Magnetic Field

Abstract

We present numerical simulations on propagation of Ultra-High Energy Cosmic Rays (UHECRs) above $10^{19}$ eV in a structured extragalactic magnetic field (EGMF) and simulate their arrival distributions at the earth. We use the IRAS PSCz catalogue in order to construct a model of the EGMF and source models of UHECRs, both of which reproduce the local structures observed around the Milky Way. We also consider modifications of UHECR arrival directions by the galactic magnetic field. We follow an inverse process of their propagation from the earth and record the trajectories. This enables us to calculate only trajectories of UHECRs arriving at the earth, which saves the CPU time. From these trajectories and our source models, we construct arrival distributions of UHECRs and calculate the harmonic amplitudes and the two point correlation functions of them. We estimate number density of sources which reproduces the Akeno Ground Air Shower Array (AGASA) observation best. As a result, we find that the most appropriate number density of the sources is $\sim 5\times 10^{-6}$ Mpc${}^{-3}$. This constrains the source candidates of UHECRs. We also demonstrate skymaps of their arrival distribution with the event number expected by future experiments and examine how the EGMF affects their arrival distribution. A main result is diffusion of clustering events which are obtained from calculations in the absence of the EGMF. This tendency allows us to reproduce the observed two point correlation function better.

arXiv comment13 pages, 14 figures. Revised version, accepted for publication in the Astrophysical Journal. Higher resolution image of fig.5 will be in the published version

References in corpus (30)

• Extension of the Cosmic-Ray Energy Spectrum Beyond the Predicted Greisen-Zatsepin-Kuz'min Cutoff
• Origin and Propagation of Extremely High Energy Cosmic Rays
• The PSCz Catalogue
• Small-scale anisotropy of cosmic rays above 10^19eV observed with the Akeno Giant Air Shower Array
• Monte-Carlo simulations of photohadronic processes in astrophysics
• Galactic and extragalactic magnetic fields
• Constrained Simulations of the Magnetic Field in the Local Universe and the Propagation of UHECRs
• Measurement of the Flux of Ultrahigh Energy Cosmic Rays from Monocular Observations by the High Resolution Fly's Eye Experiment
• Hard X-Ray Radiation in the Coma Cluster Spectrum
• Pulsar rotation measures and the magnetic structure of our Galaxy
• Ultra high energy cosmic rays and the large scale structure of the galactic magnetic field
• On the detection of Ultra High Energy Neutrinos with the Auger Observatory
• Ultra-High Energy Cosmic Ray Probes of Large Scale Structure and Magnetic Fields
• The Anisotropy of Cosmic Ray Arrival Direction around 10^18eV
• The Anisotropy of Cosmic Ray Arrival Directions around 10${}^{18}$eV
• Measuring the Cluster Magnetic Field Power Spectra from Faraday Rotation Maps of Abell 400, Abell 2634 and Hydra A
• Diffusive propagation of UHECR and the propagation theorem
• Ultra-High Energy Cosmic Rays in a Structured and Magnetized Universe
• The Luminosity Function of IRAS PSCz Galaxies
• On the statistical significance of the GZK feature in the spectrum of ultra high energy cosmic rays
• Study of Small-Scale Anisotropy of Ultrahigh Energy Cosmic Rays Observed in Stereo by HiRes
• The Optical Redshift Survey: Sample Selection and the Galaxy Distribution
• Magnetic Fields in the 3C 129 Cluster
• UHECR propagation in the Galaxy: clustering versus isotropy
• Small Scale Clustering in the Isotropic Arrival Distribution of Ultra-High Energy Cosmic Rays and Implications for Their Source Candidates
• Search for Point Sources of Ultra-High Energy Cosmic Rays Above 40 EeV Using a Maximum Likelihood Ratio Test
• Magnetic fields in our Galaxy: How much do we know? (II) Halo fields and the global field structure
• Magnetic fields in our Galaxy: How much do we know?
• A New Method for Calculating Arrival Distribution of Ultra-High Energy Cosmic Rays above 10^19 eV with Modifications by the Galactic Magnetic Field
• Statistical Significance of Small Scale Anisotropy in Arrival Directions of Ultra-High Energy Cosmic Rays

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• Cosmic-ray propagation and interactions in the Galaxy
• The Astrophysics of Ultrahigh Energy Cosmic Rays
• Indications of Intermediate-Scale Anisotropy of Cosmic Rays with Energy Greater Than 57 EeV in the Northern Sky Measured with the Surface Detector of the Telescope Array Experiment
• Blazars as Ultra-High-Energy Cosmic-Ray Sources: Implications for TeV Gamma-Ray Observations
• High-energy cosmic-ray nuclei from high- and low-luminosity gamma-ray bursts and implications for multi-messenger astronomy
• A dip in the UHECR spectrum and the transition from galactic to extragalactic cosmic rays
• The Jem-Euso Mission
• The optical depth of the Universe to ultrahigh energy cosmic ray scattering in the magnetized large scale structure
• The Galactic magnetic field as spectrograph for ultra-high energy cosmic rays
• Heavy Nuclei Synthesized in Gamma-Ray Burst Outflows as the Source of UHECRs
• On the Possible Association of Ultra High Energy Cosmic Rays with Nearby Active Galaxies
• Propagation of Ultra High Energy Cosmic Rays in Extragalactic Magnetic Fields: A view from cosmological simulations
• High-Energy Emission Induced by Ultra-High-Energy Photons as a Probe of Ultra-High-Energy Cosmic-Ray Accelerators Embedded in the Cosmic Web
• PARSEC: A Parametrized Simulation Engine for Ultra-High Energy Cosmic Ray Protons
• Distortion of Ultra-high-energy sky by Galactic Magnetic Field
• Cross-Correlation between UHECR Arrival Distribution and Large-Scale Structure
• The Role of Structured Magnetic Fields on Constraining Properties of Transient Sources of Ultra-high-energy Cosmic Rays
• New knowledge of the Galactic magnetic fields
• Implications to Sources of Ultra-high-energy Cosmic Rays from their Arrival Distribution
• Acceleration and propagation of ultra high energy cosmic rays
• Does Galactic Magnetic Field Disturb the Correlation of the Highest Energy Cosmic Rays with their Sources?
• Propagation of Ultra-High-Energy Cosmic Ray Nuclei in Cosmic Magnetic Fields and Implications for Anisotropy Measurements
• CRT: A numerical tool for propagating ultra-high energy cosmic rays through Galactic magnetic field models
• The Production of Ultra High Energy Cosmic Rays during the Early Epochs of Radio-loud AGN
• Selected Topics in Cosmic Ray Physics
• Origin of ultra-high energy cosmic rays in the era of Auger and Telescope Array
• Towards unravelling the structural distribution of ultra-high-energy cosmic ray sources
• Estimation Prospects of the Source Number Density of Ultra-high-energy Cosmic Rays
• Astrophysical interpretation of the medium scale clustering in the ultra-high energy sky
• Study of the High Energy Gamma-ray Emission from the Crab Pulsar with the MAGIC telescope and Fermi-LAT
• Constraints on Physical Conditions for the Acceleration on Ultra-high-energy Cosmic Rays in Nearby Active Galactic Nuclei Observed with the Fermi Large Area Telescope
• A Method for Constraining Cosmic Magnetic Field Models Using Ultra-High Energy Cosmic Rays: The Field Scan Method
• Insights on the mass composition of ultrahigh-energy cosmic rays from small-scale anisotropy with large-scale structure simulations
• A lower bound on the number of cosmic ray events required to measure source catalogue correlations