PA-PRO-2018-017

The PANDA experiment represents the central part of the hadron physics
programme at the new Facility for Antiproton and Ion Research (FAIR) under
construction at GSI/Darmstadt (Germany). The multi-purpose PANDA detector in
combination with an intense and high-quality antiproton beam allows for coverage
of a broad range of different aspects of QCD, and it is best suited for charmonium
spectroscopy. We present a comprehensive PANDA Monte Carlo simulation study for
precision resonance energy scan measurements, using the example of the charmonium-like
$X(3872)$ state discussed to be exotic. Apart from the proof of principle for
natural decay width and line-shape measurements of very narrow resonances, the
achievable sensitivities are quantified for the concrete example of the $X(3872)$.
The discussed measurement is uniquely possible with a $\bar{p}p$ annihilation
experiment such as PANDA at FAIR.