EIT phenomenon for the three-level hydrogen atoms and its application to the era of the cosmological recombination

TL;DR

This paper investigates the electromagnetically induced transparency (EIT) phenomenon in three-level hydrogen atoms during cosmological recombination, introducing a correction function that impacts cosmic microwave background formation.

Contribution

It introduces a new correction function for optical depth based on EIT effects in hydrogen atoms, affecting radiation transfer models in cosmology.

Findings

The correction function $f$ can significantly influence CMB formation.

Numerical values of $f$ vary across different atomic schemes.

EIT effects modify escape probability in radiation transfer theory.

Abstract

The electromagnetically induced transparency (EIT) phenomenon in earlier universe is considered. We evaluated the elementary processes of the single scattering of photon on the hydrogen atom with the purpose of their use in the tasks of the radiation transfer theory. The additional function $f$, which depends on external conditions, is found. This function can be considered as an adjustment of the optical depth that leads to the necessity of modernization of the escape probability $p_{ij}(\tau_S)\rightarrow p_{ij}(\tau_S(1+f))$. The numerical values of $f$ for the different schemes of atom in three-level approximation are given. It is found that the magnitude of function $f$ could influence significantly on the formation of CMB in some partial cases.