Effects of $CP$-violating internucleon interactions in paramagnetic molecules

TL;DR

This paper shows that electron EDM experiments with paramagnetic molecules can detect $CP$-violating nuclear forces and parameters, establishing relations between experimental measurements and fundamental hadronic $CP$-violation sources.

Contribution

It introduces a framework linking $CP$-violating parameters in hadronic physics to measurable effects in paramagnetic molecule experiments, enabling new constraints on fundamental $CP$-violation.

Findings

Established relations between $C_{SP}$ and hadronic $CP$-violating parameters

Derived limits on $CP$-odd nuclear potentials and interactions

Demonstrated sensitivity of molecular experiments to hadronic $CP$-violation

Abstract

We demonstrate that electron electric dipole moment experiments with molecules in paramagnetic state are sensitive to $P,T$-violating nuclear forces and other $CP$-violating parameters in the hadronic sector. These experiments, in particular, measure the coupling constant $C_{SP}$ of the $CP$-odd contact semileptonic interaction. We establish relations between $C_{SP}$ and different $CP$-violating hadronic parameters including strength constants of the $CP$-odd nuclear potentials, $CP$-odd pion-nucleon interactions, quark-chromo EDM and QCD vacuum angle. These relations allow us to find limits on various $CP$-odd hadronic parameters.