Spectroscopic quadrupole moments from muonic atoms: nuclear polarizability correction

In extracting spectroscopic quadrupole moments from the quadrupole hyperfine structure of intermediate orbits of muonic atoms nuclear polarizability is an important theoretical correction. Whilst the electric quadrupole polarizability is fairly well understood, this is not so for the electric dipole polarizability. It is shown that the latter yields a center-of-gravity shift delta0 of the quadrupole multiplet and a shift deltaA2 of the quadrupole hyperfine constant. The quantity delta0 is evaluated using nuclear sum rules and is found to be in good agreement with existing numerical studies. The shift deltaA2 is very small due to strong cancellations in the nuclear matrix elements. This cancellation is studied and proven in a number of nuclear models. (Auth.)