  Differential cross sections of the Coulomb deexcitation in the collisions of
excited muonic hydrogen with the hydrogen atom have been studied for the first
time. In the framework of the fully quantum-mechanical close-coupling approach
both the differential cross sections for the $nl \to n'l'$ transitions and
$l$-averaged differential cross sections have been calculated for exotic atom
in the initial states with the principle quantum number $n=2 - 6$ at relative
motion energies $E_{\rm {cm}}=0.01 - 15$ eV and at scattering angles
$\theta_{\rm {cm}}=0 - 180^{\circ}$. The vacuum polarization shifts of the
$ns$-states are taken into account. The calculated in the same approach
differential cross sections of the elastic and Stark scattering are also
presented. The main features of the calculated differential cross sections are
discussed and a strong anisotropy of cross sections for the Coulomb
deexcitation is predicted.
