How accurately can we measure the hydrogen 2S->1S transition rate from the cosmological data?
Viatcheslav Mukhanov, Jaiseung Kim, Pavel Naselsky, Tiziana Trombetti,, Carlo Burigana

TL;DR
This paper explores how upcoming cosmological data, particularly from the PLANCK mission, can be used to precisely measure the hydrogen 2S->1S transition rate, surpassing laboratory experiment accuracy.
Contribution
It demonstrates that cosmological observations can provide a more accurate measurement of the hydrogen 2S->1S decay rate than traditional laboratory methods.
Findings
PLANCK data will improve measurement accuracy of the decay rate
Cosmological data can surpass laboratory experiments in precision
Potential for new insights into hydrogen atomic physics from cosmology
Abstract
Recent progress in observational cosmology, and especially the forthcoming PLANCK mission data, open new directions in so-called precision cosmology. In this paper we illustrate this statement considering the accuracy of cosmological determination of the two-quanta decay rate of 2s hydrogen atom state. We show that the PLANCK data will allow us to measure this decay rate significantly better than in the laboratory experiments.
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