Microscopic study of low-lying states in odd-mass nuclei for atomic electric dipole moment searches

We present a microscopic study of the low-lying states of five odd-mass nuclei of particular interest for experimental searches of atomic electric dipole moments (EDMs): ${}^{129}$Xe, ${}^{199}$Hg, ${}^{225}$Ra, ${}^{229}$Th, and ${}^{229}$Pa. The analysis is performed within the recently developed multi-reference covariant density functional theory (MR-CDFT), which incorporates symmetry restoration and configuration mixing based on self-consistent mean-field solutions. The calculated energy spectra and electromagnetic observables of these nuclei are reasonably well reproduced without introducing any parameters beyond those of the underlying universal relativistic energy density functional. The results demonstrate the reliability of MR-CDFT in describing the structure of these nuclei and in providing essential input on nuclear Schiff moments relevant to ongoing EDM searches.