Hyperfine structure of S-states in muonic ions of lithium, beryllium and boron

TL;DR

This paper provides precise quantum electrodynamics calculations of hyperfine structures in muonic lithium, beryllium, and boron ions, including higher-order corrections, to aid future experimental comparisons.

Contribution

It introduces detailed calculations of hyperfine splittings in muonic ions incorporating corrections up to order α^6, advancing theoretical accuracy.

Findings

Estimated hyperfine splitting values for muonic ions.

Inclusion of vacuum polarization, nuclear structure, and recoil corrections.

Results useful for future experimental validation.

Abstract

We make precise calculation of hyperfine structure of $S$-states in muonic ions of lithium, beryllium and boron in quantum electrodynamics. Corrections of orders $\alpha^5$ and $\alpha^6$ due to the vacuum polarization, nuclear structure and recoil in first and second orders of perturbation theory are taken into account. We obtain estimates of the total values of hyperfine splittings which can be used for a comparison with future experimental data.