Abstract
We calculate hyperfine structure intervals 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 ofprojection operators on states with definite quantum numbers of total atomic momentum F and total muonmomentum j. We take into account vacuum polarization, relativistic, quadruple and structure corrections of orders α4, α5 and α6. The obtained numerical values of hyperfine splittings can be used for a comparison with future experimental data.
Highlights
One of the future scientific directions of CREMA (Charge Radius Experiments with Muonic Atoms) collaboration is related with light muonic atoms of lithium, beryllium and boron [1, 2]
In our recent papers [5, 6] we calculated some corrections to the Lamb shift (2P-2S) and hyperfine splitting of S-states in muonic lithium, beryllium and boron and obtain more precise values of these energy intervals
Beryllium and boron have isotopes with spin s2 = 3/2 so we describe further hyperfine structure of such muonic ions which consists of six states: 23P1/2, 25P1/2, 21P3/2, 23P3/2, 25P3/2, 27P3/2, where the lower index corresponds to muon total momentum j = s1 + L and upper index is the factor (2F + 1) (F = j + s2)
Summary
One of the future scientific directions of CREMA (Charge Radius Experiments with Muonic Atoms) collaboration is related with light muonic atoms of lithium, beryllium and boron [1, 2]. Such experiments on measurement of fine and hyperfine structure could obtain new values of charge radii of Li, Be and B. In our recent papers [5, 6] we calculated some corrections to the Lamb shift (2P-2S) and hyperfine splitting of S-states in muonic lithium, beryllium and boron and obtain more precise values of these energy intervals. The aim of this work is to calculate hyperfine splitting intervals for P-states in muonic Li, Be, B with the account of corrections to vacuum polarization and nuclear structure
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