Evidence against nuclear polarization as source of fine-structure anomalies in muonic atoms

Abstract

A long-standing problem of fine-structure anomalies in muonic atoms is revisited by considering the $\Delta 2p$ splitting in muonic ${}^{90}\mathrm{Zr}$, ${}^{120}\mathrm{Sn}$ and ${}^{208}\mathrm{Pb}$ and the $\Delta 3p$ splitting in muonic ${}^{208}\mathrm{Pb}$. State-of-the-art techniques from both nuclear and atomic physics are brought together in order to perform the most comprehensive to date calculations of nuclear-polarization energy shifts. Barring the more subtle case of muonic ${}^{208}\mathrm{Pb}$, the results suggest that the dominant calculation uncertainty is much smaller than the persisting discrepancies between theory and experiment. We conclude that the resolution to the anomalies is likely to be rooted in refined QED corrections or even some other previously unaccounted-for contributions.

Comments: 6 pages of main text including 3 figures and 1 table; 5 pages of supplemental material including 4 tables