Relativistic Corrections to the Sunyaev-Zel'dovich Effect for Clusters of Galaxies. V. Multiple Scattering

Preprint

19 May 2000

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.astro-ph/0005390

Abstract

We extend the formalism for the calculation of the relativistic corrections to the Sunyaev-Zel'dovich effect for clusters of galaxies and include the multiple scattering effects. We present a systematic method for the inclusion of the multiple scattering effects. The multiple scattering contribution is found to be very small compared with the single scattering contribution. For high-temperature galaxy clusters of k_{B}T_{e} = 15keV, the ratio of the both contributions is -0.3% in the Wien region. In the Rayleigh--Jeans region the ratio is -0.03%. Therefore the multiple scattering contribution is safely neglected for the observed galaxy clusters.

Keywords

MULTIPLE SCATTERING CONTRIBUTION
RELATIVISTIC CORRECTIONS
SUNYAEV ZEL'DOVICH
SCATTERING EFFECTS
ZEL'DOVICH EFFECT
GALAXY CLUSTERS

All Related Versions

Version 1, 2000-05-19, ArXiv
Version 1, 2005-01-07, ArXiv (Unconfirmed version)
Version 2, 2005-07-06, ArXiv (Unconfirmed version)
Published version: The Astrophysical Journal, 533 (2), 588.

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