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

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.

13 pages. arXiv admin note: text overlap with arXiv:2004.10359

References in corpus (8)

• Measurement of the permanent electric dipole moment of the neutron
• Time-reversal symmetry violation in molecules induced by nuclear magnetic quadrupole moments
• Combined 4-component and relativistic pseudopotential study of ThO for the electron electric dipole moment search
• New Limit on the Permanent Electric Dipole Moment of ${}^{129}$Xe using ${}^3$He Comagnetometry and SQUID Detection
• P- and T-Violating Lagrangians in Chiral Effective Field Theory and Nuclear Electric Dipole Moments
• The electric dipole moment of the deuteron from the QCD $\theta$-term
• Recurrence and differential relations for spherical spinors
• Limits on $CP$-violating hadronic interactions and proton EDM from paramagnetic molecules

Cited by in corpus (9)

• Opportunities for Fundamental Physics Research with Radioactive Molecules
• General relativity effects in precision spin experimental tests of fundamental symmetries
• Enhanced Magnetic Quadrupole Moments in Nuclei with Octupole Deformation and their CP-violating effects in molecules
• Relativistic Exact Two-Component Coupled-Cluster Study of Molecular Sensitivity Factors for Nuclear Schiff Moments
• Enhanced Schiff and magnetic quadrupole moments in deformed nuclei and their connection to the search for axion dark matter
• Rotating and vibrating symmetric top molecule RaOCH${}_3$ in the fundamental $\mathcal{P}$, $\mathcal{T}$-violation searches
• Parity and time-reversal symmetry violation in diatomic molecules: LaO, LaS and LuO
• Enhanced nuclear Schiff and electric dipole moments in nuclei with an octupole deformation
• Weinberg operator contribution to the CP-odd nuclear force in the quark model