Abstract
We present state-of-the-art string-based relativistic general-excitation-rank configuration interaction and coupled cluster calculations of the electron electric dipole moment, the nucleon–electron scalar-pseudoscalar, and the magnetic hyperfine interaction constants ( α d e , α C S , A | | , respectively) for the thallium atomic ground state 2 P 1 / 2 . Our present best values are α d e = − 558 ± 28 , α C S = 6.77 ± 0.34 [ 10 − 18 e cm], and A | | = 21172 ± 1059 [MHz]. The central value of the latter constant agrees with the experimental result to within 0.7% and serves as a measurable probe of the P , T -violating interaction constants. Our findings lead to a significant reduction of the theoretical uncertainties for P , T -odd interaction constants for atomic thallium but not to stronger constraints on the electron electric dipole moment, d e , or the nucleon–electron scalar-pseudoscalar coupling constant, C S .
Highlights
Electric dipole moments (EDM) of elementary particles, atoms and molecules give rise to spatial parity (P ) and time-reversal (T ) violating interactions [1] and are a powerful probe for physics beyond the standard model (BSM) [2]
The atomic spinor basis is obtained in Dirac-Coulomb Hartree–Fock (DCHF) approximation where the Fock operator is defined by averaging over 6p1j=1/2 and 6p1j=3/2 open-shell electronic configurations
Interelectron correlation effects are taken into account through relativistic Configuration Interaction (CI) theory as implemented in the KRCI module [44] of DIRAC
Summary
Electric dipole moments (EDM) of elementary particles, atoms and molecules give rise to spatial parity (P ) and time-reversal (T ) violating interactions [1] and are a powerful probe for physics beyond the standard model (BSM) [2]. Current single-source limits [3,4,5] on the electron EDM, for instance, can probe New Physics (NP) up to an energy scale of 1000 TeV [6] (radiative stability approach) or even greater [7], surpassing the current sensitivity of the Large Hadron Collider for corresponding sources of NP. EDM upper bounds are useful for constraining CP -violating parameters [8] of BSM models, cast as effective field theories [6,9] at different energy scales.
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