Astrophyzix Cosmic Ray Simulation Engine V1.2

Cosmic Ray Simulation Engine

v1.2 PDG 2022 -- fps

ATMOSPHERE SEA LEVEL

Events

0

Ground Particles

0

Mean X_max

—

GZK Events

0

Energy

~10¹⁵ eV

Zenith θ

15°

Event Rate

4/min

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Composition

Pure Proton (light) Mixed (Peters cycle) Pure Iron (heavy)

Species

Proton (p) Helium (α) Carbon (C) Iron (Fe) Photon (γ)

Detector

Surface Array (Auger) Fluorescence Telescope Underground Muon

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Display Layers

EM (e±,γ) Muons Hadrons Atm layers X_max

⚡ Energy Spectrum (dN/dE × E²·⁷)

📡 Event Log

Power-law: dN/dE ∝ E^−γ

γ=2.7 below knee (~3 PeV), 3.1 to ankle (~3 EeV), 2.7 above.

GZK cutoff at 6×10¹⁹ eV via pion-photoproduction on CMB (Greisen; Zatsepin & Kuzmin 1966).

Shower max: X_max=X₀·ln(E/E_c), X₀=36.7 g/cm², E_c=87 MeV.

• EM shower — e±, γ from π⁰ decay
• Muons — from π±/K± decay; penetrate to ground via relativistic time dilation
• Hadrons — p, n, π± driving shower growth
• X_max — altitude of shower max; composition-sensitive

• Surface Array — Cherenkov/scintillator tanks; samples lateral distribution
• Fluorescence — UV telescope images N₂ excitation along shower track
• Underground Muon — muon count below rock; discriminates composition

Real experiments: Auger, Telescope Array, IceCube, KASCADE-Grande.

Cosmic Ray Simulation Engine v1.2 · PDG 2022 · Linsley 1963 · GZK 1966 · MIT Licence ·
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