Due to a high antiproton beam resolution the PANDA experiment at FAIR will offer a unique possibility to perform precise resonance energy scans. Thereby a precise line shape and width measurement of very narrow resonances like the charmonium-like X(3872), which is discussed to be exotic, becomes feasible. Monte Carlo studies have been performed, to address the achievable sensitivities of such measurements, assuming different signal cross-sections, line shapes and luminosity combinations.