Аннотация: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 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 α4, α5 and α6. The obtained numerical values
of hyperfine splittings can be used for a comparison with future experimental
data.