Relativistic Corrections to the Sunyaev-Zeldovich Effect for Clusters of Galaxies. V. Numerical Results for High Electron Temperatures
Naoki Itoh, Satoshi Nozawa
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 <= thetae <= 0.100 and 0 <= X <= 20, where thetae = kTe/mc2, X = hbar omega/kT0, Te 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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