Development of electromagnetic calorimeter detectors and simulations for spectroscopic measurements of charmonium with PANDA

The subject of the thesis is the study of electromagnetic transitions in charmonium with PANDA. The possible registration of the $h_c$ state in charmonium, observed recently by the E760 and E835 Fermilab experiments, is used for demonstration of the physics performance of the PANDA detector. The measurement of the angular distribution of $\gamma$-rays from radiative transitions can be used for the verification of its $J^{PC}$ quantum numbers. The electromagnetic calorimeter of the PANDA detector is the crucial component for this studies from the point of view of signal registration and background suppression.