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.
Highlights
The existence of nonvanishing electric dipole moments (EDMs) of elementary particles was conjectured nearly 70 years ago [1,2,3,4], but they have not been observed so far
We demonstrate that electron electric dipole moment experiments with molecules in a paramagnetic state are sensitive to P, T-violating nuclear forces and other charge and parity (CP)-violating parameters in the hadronic sector
II, we present an estimate for the atomic EDM arising from the CP-odd nuclear forces
Summary
The existence of nonvanishing electric dipole moments (EDMs) of elementary particles was conjectured nearly 70 years ago [1,2,3,4], but they have not been observed so far. Using known relations between the constants ξp, ξn and more fundamental CP-violating hadronic parameters, we will establish a leading-order relation between CSP and CP-odd pion-nucleon couplings gðπ0N;1N;2Þ, quark-chromo EDMs du;d, and QCD vacuum angle θ. Note that this problem involves the third order perturbation theory in the nuclear part and second order in the electron-nucleus interaction. The nucleons in a nucleus can exhibit different P, T-odd interactions originating from both the Standard Model and beyond Of their nature, in the nonrelativistic limit, these short-range interactions may be taken into account by the following phenomenological single-particle Hamiltonian [13]: Hodd pGFffiffi 2 η 2mp σ.
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