This PHD work focuses on simulation studies for future measurements with the PANDA detector at FAIR. In particular, I investigated proton antiproton annihilation reactions with an electron-positron pair production which allow to study the structure of nucleons. One major problem with the studies of such electromagnetic channels is the hadronic background which has cross-sections at least six orders of magnitude larger than the signal, requiring excellent particle identification and good momentum resolution. However the momentum reconstruction for electrons and positrons is degraded due to the emission of Bremsstrahlung photons along their path. In the first part of this thesis, I studied this problem and developed a method based on the correction of the momentum of electrons and positrons event by event, using Bremsstrahlung photons detected in the electromagnetic calorimeter. This method, which has been integrated into PANDAroot, the official PANDA reconstruction code, provides a significant improvement of momentum resolution for electrons, and will be exploitable by any measurement with electron-positron pair in the exit channel. In the second part, I performed a feasibility study of measuring the reaction antiproton p→J/psi π0 using predictions from a model based on pion-nucleon TDAs (Transition Distribution Amplitudes). TDAs are non-perturbative objects that describe the transition between two particles of different nature. For example, pion-nucleon TDAs contain information about the pionic components in the nucleon’s wave function. For this study, I relied on the TDA model to create an event generator, and studied the capability to reject hadronic background. The improvement of the efficiency for the signal due to the Bremsstrahlung correction method was quantified. This study can be used as a basis for a proposal of an experiment with PANDA.

The PANDA experiment has a great potential to test QCD in the low momentum transfer region with unprecedented accuracy by performing very precise hadron spectroscopy. To achieve this goal the resonance scan method will be used to determine the mass and width of variety of hadronic states. This technique requires a precise knowledge of the luminosity. This thesis develops the conceptual design of the detector allowing to measure the absolute luminosity with about 3% precision. The detector concept is based on the measurement of elastically scattered antiprotons from the interaction region in the Coulomb-nuclear interference region. Due to the finite beam emittance and the finite size of the interaction volume, the track of the antiproton has to be reconstructed in the luminosity monitor, and not just one point. The detector will located between z = +10 m and z= +13 m downstream of the interaction point and will consist of four planes of four sensors each covering the polar angular range of 2.8 < theta < 7.5 mrad. The performance study of this detector is one of the main topics of this thesis. These studies were done using Monte Carlo simulations within the PandaRoot framework and the results were compared with the measured data obtained from the tracking station beam test performed at COSY with proton beams. This work then addressed the question of how the performance of the luminosity monitor effects the determination of the mass and width measurements of X(3872) state using the full PANDA setup. The measurements were performed for three different assumed widths. The influences of the signal to background ratio and the uncertainty on the luminosity were investigated.

The thesis concerns the prospects of studying multi-strange and charmed antihyperon-hyperon physics and CP violation in hyperon decays in the upcoming PANDA experiment. The angular distribution dependence on polarisation parameters in the decay of the spin 3/2 Omega hyperon was calculated using the density matrix formalism. Expressions for the angular distributions in both the Ω → ΛK and the subsequent Λ → pπ were obtained.