Relativistic effects in search for new intra-atomic force with isotope shifts

Abstract

Isotope shift of atomic spectra is considered as a probe of new interaction between electrons and neutrons in atoms. We employ the method of seeking a breakdown of King's linearity in the isotope shifts of two atomic transitions. In the present work, we evaluate the magnitudes of the nonlinearity using relativistic wave functions and the result is compared with that of nonrelativistic wave functions in our previous work. It turns out that the nonrelativistic calculation underestimates the nonlinearity owing to the new interaction in the mass range of the mediator greater than 1 MeV. Further, we find that the nonlinearity within the standard model of particle physics is significantly magnified by the relativistic effect in the ${\text{p}}_{1/2}$ state. To get rid of this obstacle in the new physics search, we suggest to avoid ${\text{p}}_{1/2}$, and use ${\text{p}}_{3/2}$ instead for example.

15 pages, 3 figures. An error in the code to compute the constraint from the electron anomalous magnetic moment for the scalar mediator is fixed and the results in Refs. [24] and [36] are employed in Fig. 3. Several explanations are added

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Cited by in corpus (6)

• Observation of non-linearity of generalized King plot in the search for new boson
• Sensitivity to New Physics of Isotope Shift Studies using the Coronal Lines of Highly Charged Calcium Ions
• Isotope shifts for ${}^1{S}_0-{}^3{P}_{0,1}^o$ Yb lines from multi-configuration Dirac-Hartree-Fock calculations
• Isotope-shift analysis with the $4f^{14}6s^2{}^1{S}_0-4f^{13}5d6s^2(J=2)$ transition in ytterbium
• Orders-of-magnitude improvement in precision spectroscopy of an inner-shell orbital clock transition in neutral ytterbium
• Evidence of Two-Source King Plot Nonlinearity in Spectroscopic Search for New Boson