Relativistic corrections to the multiple scattering effect on the Sunyaev–Zel'dovich effect in the isotropic approximation期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Relativistic corrections to the multiple scattering effect on the Sunyaev–Zel'dovich effect in the isotropic approximation

Authors:	Naoki Itoh Youhei Kawana Satoshi Nozawa Yasuharu Kohyama

Institution:	¹Department of Physics, Sophia University, 7-1 Kioi-cho, Chiyoda-ku, Tokyo 102-8554, Japan;²Josai Junior College for Women, 1-1 Keyakidai, Sakado-shi, Saitama 350-0295, Japan;³Fuji Research Institute Corporation, 2-3 Kanda-Nishiki-cho, Chiyoda-ku, Tokyo 101-8443, Japan

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 in the isotropic approximation. We present the results of the calculations by the Fokker–Planck expansion method as well as by the direct numerical integration of the collision term of the Boltzmann equation. The multiple scattering contribution is found to be very small compared with the single scattering contribution. For high-temperature galaxy clusters of the ratio of both the contributions is ?0.2 per cent in the Wien region. In the Rayleigh–Jeans region the ratio is ?0.03 per cent. Therefore the multiple scattering contribution is safely neglected for the observed galaxy clusters.

Keywords:	radiation mechanisms: thermal relativity galaxies: clusters: general cosmic microwave background cosmology: theory