Relativistic Corrections to the Sunyaev‐Zeldovich Effect for Clusters of Galaxies. III. Polarization Effect
Author(s) -
Naoki Itoh,
Satoshi Nozawa,
Yasuharu Kohyama
Publication year - 2000
Publication title -
the astrophysical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.376
H-Index - 489
eISSN - 1538-4357
pISSN - 0004-637X
DOI - 10.1086/308676
Subject(s) - cosmic microwave background , physics , sunyaev–zel'dovich effect , galaxy cluster , astrophysics , polarization (electrochemistry) , cosmic background radiation , kinematics , formalism (music) , galaxy , relativistic particle , relativistic quantum chemistry , relativistic beaming , photon , nuclear physics , active galactic nucleus , classical mechanics , electron , quantum mechanics , art , musical , chemistry , anisotropy , visual arts
We extend the formalism for the calculation of the relativistic correctionsto the Sunyaev-Zel'dovich effect for clusters of galaxies and include themultiple scattering effects. We present a systematic method for the inclusionof the multiple scattering effects. The multiple scattering contribution isfound to be very small compared with the single scattering contribution. Forhigh-temperature galaxy clusters of k_{B}T_{e} = 15keV, the ratio of the bothcontributions is -0.3% in the Wien region. In the Rayleigh--Jeans region theratio is -0.03%. Therefore the multiple scattering contribution is safelyneglected for the observed galaxy clusters.Comment: 15 pages + 2 figures, LaTeX with AASMS macro. Submitted to Ap
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