http://arxiv.org/abs/1709.00600
The Racah-Rosenthal-Breit formula describes the isotope field shift for s-wave only and is not valid in heavy atoms where the relativistic effects are important. We derive a single-particle relativistic formula for the isotope shift for an arbitrary electron angular momentum; we then apply it to estimate the differences in the transition frequencies between the superheavy atoms produced in laboratory and atoms with nuclei belonging to the hypothetical island of stability (these nuclei have a “magical” number of neutrons N=184). Our results may be applied to the search for metastable neutron-rich isotopes in astrophysical atomic spectra using the known values of the transition frequencies for the neutron deficient isotopes produced in laboratory. An example may be the spectra of the Przybylski’s star where superheavy elements up to Z=99 have been possibly identified.
We have found that the nuclear polarizability contribution leads to the significant deviation of the King plot for isotope shifts from the linearity. Therefore, the measurements of the non-linearity of King plots may be applied to measure the nuclear polarizability change between individual isotopes. It was recently suggested that such measurements may also be used to search for new particles mediating Yukawa-type interactions in atoms. We estimate the non-linear corrections to the King plot including contributions of the relativistic effects in the field shift, isotope shift due to the nuclear polarizability, many-body effects and effect of hypothetical new particles. Our estimates provide theoretical limitations on the sensitivity of such a search and should help in selection of the most suitable atoms for corresponding experiments.
V. Flambaum, A. Geddes and A. Viatkina
Tue, 5 Sep 17
23/76
Comments: N/A