Misc,

Estimation of the CMB temperature from atomic C\,i and molecular CO lines in the interstellar medium of early galaxies

, , , , and .
(2021)cite arxiv:2106.00119Comment: 8 pages, 4 figures, 5 tables.
DOI: 10.1134/S1063773720110031

Abstract

The linear increase of the cosmic microwave background (CMB) temperature with cosmological redshift, $T_CMB = T_0(1 + z)$, is a prediction of the standard cosmological $Łambda$CDM model. There are currently two methods to measure this dependence at redshift $z>0$, and that is equally important to estimate the CMB temperature $T_0$ at the present epoch $z=0$. The first method is based on the Sunyaev-Zeldovich (SZ) effect for a galaxy cluster. aThe second method is based on the analysis of the populations of atomic and molecular energy levels observed in the absorption spectra of quasars. This method allows $T_CMB(z)$ to be measured directly. We present new estimates of $T_\rm CMB(z_i)$ in the redshift range $1.7z_i łe3.3$ based on the analysis of excitation of the CO rotational levels and C\,i fine-structure levels in 15 absorption systems. We take into account collisional excitation of CO and C\,i with hydrogen atoms and H$_2$ and radiative pumping of C\,i by the interstellar ultraviolet radiation. Applying this corrections leads to a systematic decrease in the previously obtained estimates of $T_CMB(z_i)$ (for some systems the magnitude of the effect is $\sim$10\%). Combining our measurements with the measurements of $T_CMB(z)$ in galaxy clusters we have obtained a constraint on the parameter $\beta=+0.010\pm0.013$, which characterizes the deviation of the CMB temperature from the standard relation, $T_CMB = T_0(1 + z)^1-\beta$, and an independent estimate of the CMB temperature at the present epoch, $T_0 = 2.719\pm0.009$\,K, which agrees well with the estimate from orbital measurements, $T_0 = 2.7255\pm0.0006$\,K. This independent estimate is very important because it was obtained using cosmological data, in contrast to satellite measurements, which are obtained "here" and "now".

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