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Title: The Greisen equation explained and improved

Abstract

Analytic description of the evolution of cosmic ray showers is dominated by the Greisen equation nearly five decades old. We present an alternative approach with several advantages. Among the new features are a prediction of the differential distribution, replacing Greisen's form which fails to be positive definite. Explicit comparison with Monte Carlo simulations shows excellent agreement after a few radiation lengths of development. We find a clear connection between Monte Carlo adjustment of Greisen's form and underlying physics, and present a concise derivation with all steps explicit. We also reconstruct the steps needed to reproduce Greisen's approximate formula, which appears not to have been published previously.

Authors:
;  [1]
  1. Department of Physics and Astronomy, University of Kansas, Lawrence, Kansas 66045 (United States)
Publication Date:
OSTI Identifier:
20935191
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevD.75.016005; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COMPUTERIZED SIMULATION; COSMIC RADIATION; EQUATIONS; EVOLUTION; MONTE CARLO METHOD; RADIATION LENGTH

Citation Formats

Schiel, Rainer W., and Ralston, John P. The Greisen equation explained and improved. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.016005.
Schiel, Rainer W., & Ralston, John P. The Greisen equation explained and improved. United States. doi:10.1103/PHYSREVD.75.016005.
Schiel, Rainer W., and Ralston, John P. Mon . "The Greisen equation explained and improved". United States. doi:10.1103/PHYSREVD.75.016005.
@article{osti_20935191,
title = {The Greisen equation explained and improved},
author = {Schiel, Rainer W. and Ralston, John P.},
abstractNote = {Analytic description of the evolution of cosmic ray showers is dominated by the Greisen equation nearly five decades old. We present an alternative approach with several advantages. Among the new features are a prediction of the differential distribution, replacing Greisen's form which fails to be positive definite. Explicit comparison with Monte Carlo simulations shows excellent agreement after a few radiation lengths of development. We find a clear connection between Monte Carlo adjustment of Greisen's form and underlying physics, and present a concise derivation with all steps explicit. We also reconstruct the steps needed to reproduce Greisen's approximate formula, which appears not to have been published previously.},
doi = {10.1103/PHYSREVD.75.016005},
journal = {Physical Review. D, Particles Fields},
number = 1,
volume = 75,
place = {United States},
year = {Mon Jan 01 00:00:00 EST 2007},
month = {Mon Jan 01 00:00:00 EST 2007}
}