Angular distribution of gamma quanta in the deexcitation of nuclei in diffraction production of particles at nuclei

We obtain the matrix elements of the spin density matrix of the nucleus $^{12}С$ in the state 2+, 4.44 MeV, excited in the processes $(\pi, \pi')$ and $(\pi, 3\pi)$ at momentum 40 GeV/sec. We determine the regions of the transferred momentum where the angular distribution of the gamma quanta from the de-excited level is most sensitive to the dynamics of the process.