Constraints on Baryon Density from the Effective Optical Depth of High-Redshift Quasars

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Autori principali: Liu, Wen-Fei, Xie, Yuan-Bo, Liu, Zhi-E, Qin, Jin, Jiao, Kang, Zhao, Dong-Yao, Zhang, Tong-Jie
Natura: Preprint
Pubblicazione: 2025
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author Liu, Wen-Fei
Xie, Yuan-Bo
Liu, Zhi-E
Qin, Jin
Jiao, Kang
Zhao, Dong-Yao
Zhang, Tong-Jie
author_facet Liu, Wen-Fei
Xie, Yuan-Bo
Liu, Zhi-E
Qin, Jin
Jiao, Kang
Zhao, Dong-Yao
Zhang, Tong-Jie
contents We present constraints on the baryonic matter density parameter, $Ω_b$, within the framework of the $Λ$CDM model. Our analysis utilizes observational data on the effective optical depth from high-redshift quasars. To parameterize the photoionization rate $Γ_{-12}$, we employ a Bézier polynomial. Additionally, we approximate the Hubble parameter at high redshifts as $H(z)\approx 100hΩ_m^{1/2} (1+z)^{3/2}$ km s$^{-1}$ Mpc$^{-1}$. Confidence regions are obtained with $h=0.701\pm0.013$ and $Ω_m = 0.315$, optimized by the Planck mission. The best-fit values are $Ω_b =0.043^{+0.005}_{-0.006}$ and $Ω_b = 0.045^{+0.004}_{-0.006}$, corresponding to an old data set and a new data set, respectively. And we test the non-parametric form of $Γ_{-12}$, obtaining $Ω_b = 0.048^{+0.001}_{-0.003}$. These results are consistent with the findings of Planck at the 1 $σ$ confidence level. Our findings underscore the effectiveness of quasar datasets in constraining $Ω_b$, eliminating the need for independent photoionization rate data. This approach provides detailed cosmic information about baryon density and the photoionization history of the intergalactic medium.
format Preprint
id arxiv_https___arxiv_org_abs_2501_18182
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Constraints on Baryon Density from the Effective Optical Depth of High-Redshift Quasars
Liu, Wen-Fei
Xie, Yuan-Bo
Liu, Zhi-E
Qin, Jin
Jiao, Kang
Zhao, Dong-Yao
Zhang, Tong-Jie
Cosmology and Nongalactic Astrophysics
We present constraints on the baryonic matter density parameter, $Ω_b$, within the framework of the $Λ$CDM model. Our analysis utilizes observational data on the effective optical depth from high-redshift quasars. To parameterize the photoionization rate $Γ_{-12}$, we employ a Bézier polynomial. Additionally, we approximate the Hubble parameter at high redshifts as $H(z)\approx 100hΩ_m^{1/2} (1+z)^{3/2}$ km s$^{-1}$ Mpc$^{-1}$. Confidence regions are obtained with $h=0.701\pm0.013$ and $Ω_m = 0.315$, optimized by the Planck mission. The best-fit values are $Ω_b =0.043^{+0.005}_{-0.006}$ and $Ω_b = 0.045^{+0.004}_{-0.006}$, corresponding to an old data set and a new data set, respectively. And we test the non-parametric form of $Γ_{-12}$, obtaining $Ω_b = 0.048^{+0.001}_{-0.003}$. These results are consistent with the findings of Planck at the 1 $σ$ confidence level. Our findings underscore the effectiveness of quasar datasets in constraining $Ω_b$, eliminating the need for independent photoionization rate data. This approach provides detailed cosmic information about baryon density and the photoionization history of the intergalactic medium.
title Constraints on Baryon Density from the Effective Optical Depth of High-Redshift Quasars
topic Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2501.18182