  The Coulomb deexcitation of $(\pi p)$ atom in collisions with the hydrogen
atom has been studied in the fully quantum mechanical close-coupling approach
for the first time. The total Coulomb deexcitation cross-sections of $nl\to
n'l'$ transitions and $l$-averaged cross-sections are calculated for $n=3 - 8$
and at the relative energies $E=0.01 - 100$ eV. The strong interaction and
vacuum polarization shifts of $ns$-states are taken into account. It is shown
that the $\Delta n > 1$ transitions are very important and make up a
substantial fraction of the Coulomb deexcitation cross-section (up to $\sim
47%$).
