  Recent progress in the spectroscopy of antiprotonic helium has allowed for
measuring the separation between components of the hyperfine structure (HFS) of
the (37,35) metastable states with an accuracy of 300 MHz, equivalent to a
relative accuracy of 3x10^{-5}. The analysis of the uncertainties of the
available theoretical results on the antiprotonic helium HFS shows that the
accuracy of the value of the dipole magnetic moment of the antiproton
(currently known to only 0.3 %) may be improved by up to 2 orders of magnitude
by measuring the splitting of appropriately selected components of the HFS of
any of the known metastable states. The feasibility of the proposed measurement
by means of an analog of the triple resonance method is also discussed.
