Hyperfine structure and $K$-doubling in RaOCH$_3$ molecule

TL;DR

This paper calculates the hyperfine structure, K-doubling, and eEDM sensitivity of the RaOCH$_3$ molecule, a promising candidate for electron EDM searches, providing essential data for experimental interpretation.

Contribution

It introduces a method for calculating hyperfine and K-doubling structures in symmetric top molecules and applies it to RaOCH$_3$ for the first time.

Findings

Hyperfine structure of RaOCH$_3$ determined

K-doubling parameters calculated

Sensitivity to eEDM quantified

Abstract

RaOCH$_3$ molecule is one of the most sensitive systems for the electron electric dipole moment ($e$EDM) searches. Its hyperfine and $K-$doubling structure in the external electric field is of key importance for preparing and interpreting the experiment. We propose the method for calculation the symmetric top molecules and applied it for RaOCH$_3$. Hyperfine structure, $K-$doubling and sensitivity of the molecule to $e$EDM in the external electric field were calculated.