Relativistic Sunyaev-Zeldovich Effect for Clusters of Galaxies

目前的研究项目“相对论Sunyaev-Zeldovich。“半导体团簇效应”的研究取得了丰硕的成果。首先，我们于2005年3月5日至6日在上智大学举办了国际研讨会“SZ和X射线天文台的宇宙学”。我们邀请了5位国外研究者：K. Grainge（剑桥）、L Lamagna（罗马）、L Knox（加州大学戴维斯分校）、C. Li（台北）和J. Mohr（伊利诺伊州）。研讨会非常成功。在这个研究项目的过程中，我们发表了12篇研究论文的参考期刊。最近发表的论文“An Improved Formula for the Relativistic Corrections to the Kinematical Sunyaev-Zeldovich Effect”（Nuovo Cimento，121 B，487-500）总结了我们的大部分理论结果。本文证明了在Rayleigh-Jeans区，用Fokker-Planck展开法得到的解析结果与Boltzmann方程数值积分得到的结果是一致的，其精度优于10 ~（-5）。我们的理论结果被观测者用于分析Sunyaev-Zeldovich效应观测。最后，本研究项目“相对论Sunyaev-Zeldovich效应fur星系团的Galvanese”已经达到了它的初步预期目标，这一评价的事实证明，目前的首席研究员被邀请到著名的国际物理学院“恩里科费米”课程159在Varenna，意大利，为2004年7月6日至16日举行的演讲。

The Present research project "Relativistic Sunyaev-Zeldovich. Effect for Clusters of Galaxies" has successfully produced fruitful research results. First of all, we held International Workshop "Cosmology with SZ and X-Ray Observatories" at Sophia University for the period 2005 March 5-6. We invited 5 overseas researchers: K. Grainge (Cambridge), L Lamagna (Rome), L Knox (University of California, Davis), C. Li (Taipei), and J. Mohr (Illinois). The workshop turned out to be extremely successful. During the course of this research project we published 12 research papers in the refereed journals. The most recent published paper "An Improved Formula for the Relativistic Corrections to the Kinematical Sunyaev-Zeldovich Effect" (Nuovo Cimento, 121B, 487-500) summarizes most of our theoretical results. In this paper we have shown that the analytic results obtained by the Fokker-Planck expansion method agrees with the results obtained by the numerical integration of the Boltzmann equation with the accuracy better than 10-5 in the Rayleigh-Jeans regime. Our theoretical results are being used by the observers for their analysis of the Sunyaev-Zeldovich effect observations. In conclusion, the present research project "Relativistic Sunyaev-Zeldovich Effect fur Clusters of Galaxies" has achieved its initial prospective goal This evaluation is evidenced by the fact that the present head investigator was invited to give a lecture at the prestigious International School of Physics " Enrico Fermi" Course 159 held in Varenna, Italy, for the period 2004July 6-16.