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

Abstract

We calculate hyperfine structure intervals $\Delta E^{hfs}(2P_{1/2})$ and $\Delta E^{hfs}(2P_{3/2})$ for P-states in muonic ions of lithium, beryllium and boron. To construct the particle interaction operator in momentum space we use the tensor method of projection operators on states with definite quantum numbers of total atomic momentum F and total muon momentum j. We take into account vacuum polarization, relativistic, quadruple and structure corrections of orders $\alpha^4$, $\alpha^5$ and $\alpha^6$. The obtained numerical values of hyperfine splittings can be used for a comparison with future experimental data of the CREMA collaboration.