Deuteron EDM induced by CP violating couplings of pseudoscalar mesons

Abstract

We analyze contributions to the electric dipole (EDM) and Schiff (SFM) moments of deuteron induced by the CP-violating three-pseudoscalar meson couplings using phenomenological Lagrangian approach involving nucleons and pseudoscalar mesons $P=\pi ,K,\eta ,{\eta }^{\prime }$. Deuteron is considered as a proton-neutron bound state and its properties are defined by one- and two-body forces. One-body forces correspond to a picture there proton and neutron are quasi free constituents of deuteron and their contribution to the deuteron EDM (dEDM) is simply the sum of proton and neutron EDMs. Two-body forces in deuteron are induced by one-meson exchange between nucleons. They produce a contribution to the dEDM, which is estimated using corresponding potential approach. From numerical analysis of nucleon and deuteron EDMs we derive stringent limits on CP-violating hadronic couplings and $\bar{\theta }$ parameter. We showed that proposed measurements of proton and deuteron EDMs at level of $\sim 10^{-29}$ by the Store Ring EDM and JEDI Collaborations will provide more stringent upper limits on the CP violating parameters.

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Cited by in corpus (9)

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• Lepton Phenomenology of Stueckelberg Portal to Dark Sector
• Patterns of $C$- and $CP$-violation in hadronic $\eta$ and ${\eta }^{\prime }$ three-body decays
• Dark SU(2) Stueckelberg portal
• Static electric dipole moment of the francium atom induced by axionlike particle exchange
• A Quantal Theory of Restoration of Strong CP Symmetry
• Uncovering an Axion Mechanism with the EDM Portfolio
• Probing leptophobic dark sector with a pseudoscalar portal in the NA64 experiment at CERN