Charmed Baryon Spectroscopy and Search for $CP$ Violation in $D^0 \to K_S^0\,\pi^+\,\pi^-$ at CDF
In this thesis two different analyses are presented, namely the measurements of the properties of $\Lambda_c(2595)^+$, $\Lambda_c(2625)^+$, $\Sigma_c(2455)^{++,0}$, and $\Sigma_c(2520)^{++,0}$ baryons as well as the search for $CP$ violation in the Dalitz plot of the decay $D^0 \to K_S^0\,\pi^+\,\pi^-$. Both studies are performed using data corresponding to 5.2\,\invfb respective 6.0\,\invfb of integrated luminosity from $p\bar{p}$ collisions at a center-of-mass energy of 1.96\,TeV, collected with the CDF~II detector at the Fermilab Tevatron. The masses and decay widths of the mentioned charmed baryon resonances are measured with uncertainties comparable to the world averages for $\Sigma_c$ states, and significantly smaller uncertainties than the world averages for excited $\Lambda_c^+$ states. No hints for any $CP$ violating effects in the resonant substructure of $D^0 \to K_S^0\,\pi^+\,\pi^-$ are found.