$\mathcal{P},\mathcal{T}$-odd effects in YbCu, YbAg and YbAu

Abstract

In this work, the molecular enhancement factors of the $\mathcal{P},\mathcal{T}$-odd interactions involving the electron electric dipole moment ($W_{\mathrm{d}}$) and the scalar-pseudoscalar nucleon-electron couplings ($W_{\mathrm{s}}$) are computed for the ground state of the bimetallic molecules YbCu, YbAg and YbAu. These systems offer a promising venue for creating cold molecules by associating laser cooled atoms. The relativistic coupled-cluster approach is used in the calculations and a thorough uncertainty analysis is performed to give accurate and reliable uncertainties to the obtained values. Furthermore, an in-depth investigation of the different electronic structure effects that determine the magnitude of the calculated enhancement factors is carried out, and two different schemes for computing $W_{\mathrm{d}}$ are compared. The recommended values for the enhancement factors are $(13.24\pm 0.03)\times 10^{24}\frac{h\text{Hz}}{e\text{cm}}$, $(12.15\pm 0.08)\times 10^{24}\frac{h\text{Hz}}{e\text{cm}}$ and $(2.13\pm 0.28)\times 10^{24}\frac{h\text{Hz}}{e\text{cm}}$ for $W_{\mathrm{d}}$, and $(-48.36\pm 0.18)h\text{kHz}$, $(-45.51\pm 0.43)h\text{kHz}$ and $(5.31\pm 1.80)h\text{kHz}$ for $W_{\mathrm{s}}$, for YbCu, YbAg and YbAu, respectively.

15 pages, 9 figures, 8 tables

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