Abstract
We estimate the vacuum polarization (VP) correction to the Coulomb interaction in collisions of muonic atoms. It is shown that the VP effect, amplified by the low-lying virtual state ${\mathrm{\ensuremath{\varepsilon}}}_{\mathrm{\ensuremath{\vartheta}}}$\ensuremath{\sim}10 eV, is of the order of \ensuremath{\sim}1--2 % in the S-wave cross sections for p\ensuremath{\mu}+p collisions as \ensuremath{\varepsilon}\ensuremath{\le}${\mathrm{\ensuremath{\varepsilon}}}_{\mathrm{\ensuremath{\vartheta}}}$. The VP amplitude becomes comparable to the anomalously small pure Coulomb amplitude for the singlet t\ensuremath{\mu}+t scattering as \ensuremath{\varepsilon}\ensuremath{\rightarrow}0 and near the Ramsauer-Townsend minima in the d\ensuremath{\mu}+p and t\ensuremath{\mu}+p scattering.
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