Probing the time variation of fine structure constant using galaxy clusters and quintessence model

We explore a possible time variation of the fine structure constant ($α\equiv e^2/\hbar c$) using the Sunyaev-Zel'dovich effect measurements of galaxy clusters along with their X-ray observations. Specifically, the ratio of the integrated Compto-ionization parameter $Y_{SZ}D_A^2$ and its X-ray...

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Bibliographic Details
Main Authors: Liu, Zhi-E, Liu, Wen-Fei, Zhang, Tong-Jie, Zhai, Zhong-Xu, Bora, Kamal
Format: Article in Journal/Newspaper
Language:unknown
Published: arXiv 2021
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Online Access:https://dx.doi.org/10.48550/arxiv.2109.00134
https://arxiv.org/abs/2109.00134
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Summary:We explore a possible time variation of the fine structure constant ($α\equiv e^2/\hbar c$) using the Sunyaev-Zel'dovich effect measurements of galaxy clusters along with their X-ray observations. Specifically, the ratio of the integrated Compto-ionization parameter $Y_{SZ}D_A^2$ and its X-ray counterpart $Y_X$ is used as an observable to constrain the bounds on the variation of $α$. Considering the violation of cosmic distance duality relation, this ratio depends on the fine structure constant as $\sim α^3$. We use the quintessence model to provide the origin of $α$ time variation. In order to give a robust test on $α$ variation, two galaxy cluster samples, the 61 clusters provided by the Planck collaboration and the 58 clusters detected by the South Pole Telescope, are collected for analysis. Their X-ray observations are given by the XMM-Newton survey. Our results give $ζ=-0.203^{+0.101}_{-0.099}$ for the Planck sample and $ζ=-0.043^{+0.165}_{-0.148}$ for the SPT sample, indicating that $α$ is constant with redshift within $3σ$ and $1σ$ for the two samples, respectively. : 13 pages, 5 figures. Accepted by ApJ