Relativistic effects in the 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 from 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 avoiding $\text{p}_{1/2}$ and that e.g. $\text{p}_{3/2}$ should be used instead.
- Publication:
-
Progress of Theoretical and Experimental Physics
- Pub Date:
- October 2020
- DOI:
- 10.1093/ptep/ptaa121
- arXiv:
- arXiv:1911.05345
- Bibcode:
- 2020PTEP.2020j3B02T
- Keywords:
-
- B59;
- High Energy Physics - Phenomenology;
- Physics - Atomic Physics
- E-Print:
- 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