Study of the scalar-pseudoscalar interaction in the francium atom

Abstract

Fr atom can be successively used to search for the atomic permanent electric dipole moment (EDM) [Hyperfine Interactions 236, 53 (2015); Journal of Physics: Conference Series 691, 012017 (2016)]. It can be induced by the permanent electron EDM predicted by modern extensions of the standard model to be nonzero at the level accessible by the new generation of EDM experiments. We consider another mechanism of the atomic EDM generation in Fr. This is caused by the scalar-pseudoscalar nucleus-electron neutral current interaction with the dimensionless strength constant, $k_{T,P}$. Similar to the electron EDM this interaction violates both spatial parity and time-reversal symmetries and can also induce permanent atomic EDM. It was shown in [Phys. Rev. D 89, 056006 (2014)] that the scalar-pseudoscalar contribution to the atomic EDM can dominate over the direct contribution from the electron EDM within the standard model. We report high-accuracy combined all-electron and two-step relativistic coupled cluster treatment of the effect from the scalar-pseudoscalar interaction in the Fr atom. Up to the quadruple cluster amplitudes within the CCSDT(Q) method were included in correlation treatment. This calculation is required for the interpretation of the experimental data in terms of $k_{T,P}$. The resulted EDM of the Fr atom expressed in terms of $k_{T,P}$ is $d_{\mathrm{Fr}}=k_{T,P}\cdot 4.50\cdot 10^{-18}e\cdot \mathrm{cm}$, where $e$ is the charge of the electron. The value of the ionization potential of the ${}^2{S}_{1/2}$ ground state of Fr calculated within the same methods is in a very good agreement with the experiment.

added analysis of inner-core contribution to Rs parameter within the perturbation theory

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Cited by in corpus (12)

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• Enhanced effect of CP-violating nuclear magnetic quadrupole moment in HfF${}^{+}$ molecule
• Relativistic Fock space coupled cluster study of bismuth electronic structure to extract the Bi nuclear quadrupole moment
• The role of QED effects in transition energies of heavy-atom alkaline earth monofluoride molecules: a theoretical study of Ba${}^{+}$, BaF, RaF and E120F
• CP violating effects in ${}^{210}$Fr and prospects for new physics beyond the Standard Model
• Effect of nuclear magnetization distribution within the Woods-Saxon model: Hyperfine splitting in neutral Tl
• Calculation of the magnetic hyperfine structure constant of alkali metals and alkaline earth metal ions using the relativistic coupled-cluster method
• Static electric dipole moment of the francium atom induced by axionlike particle exchange
• Effect of the neutron quadrupole distribution in the TaO${}^{+}$ cation
• $\mathcal{P},\mathcal{T}$-Violating and Magnetic Hyperfine Interactions in Atomic Thallium