  The Coulomb deexcitation of light exotic atoms in collisions with hydrogen
atoms has been studied in the framework of the fully quantum-mechanical
close-coupling method for the first time. The calculations of the $l$-averaged
cross sections have been performed for $(\mu p)_n$ and $(\mu d)_n$ atoms in the
states with the principal quantum number $n=3 \div 8$ and relative energies
region $E=0.01 \div 100$ eV. The obtained results reveal the new $n$ and $E$
dependences of the Coulomb deexcitation cross sections. The large fraction (up
to $\sim$ 36%) of the transition with $\Delta n > 1$ is also predicted.
