Relativistic Corrections to the Sunyaev-Zeldovich Effect for Clusters of Galaxies. V. Numerical Results for High Electron Temperatures

2003/07/30 by Naoki Itoh, Itoh, Naoki, Satoshi Nozawa +1
Physics and Astronomy · #Astrophysics (astro-ph) #FOS: Physical sciences #astro-ph

paper · pdf · doi:10.48550/arxiv.astro-ph/0307519

2 figures, 6 tables. submitted to ApJ Suppl

arxiv created 2003/07/30 · arxiv updated 2009/12/01

Abstract

We present an accurate numerical table for the relativistic corrections to the thermal Sunyaev-Zeldovich effect for clusters of galaxies. The numerical results for the relativistic corrections have been obtained by numerical integration of the collision term of the Boltzmann equation. The numerical table is provided for the ranges 0.002 <= theta_e <= 0.100 and 0 <= X <= 20, where theta_e = kT_e/mc², X = hbar omega/kT₀, T_e is the electron temperature, omega is the angular frequency of the photon, and T₀ is the temperature of the cosmic microwave background radiation. We also present an accurate analytic fitting formula that reproduces the numerical results with high precision.

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