Measurements of the Two-Photon Widths of the Charmonium States {η_c}, chi_{c{large{0}}} and chi_{c{large{2}}}

Using the CLEO-II detector at the CESR $e^+e^-$ storage ring running at the center-of-mass energy around 10.6 GeV, we have studied exclusive production of charmonium states in two-photon collisions. Employing a dataset comprising 3.0 ${\rm fb}^{-1}$ we have searched for decays of the $\eta_c$, $\chi_{c0}$ and $\chi_{c2}$ mesons resulting in four charged hadrons. We report on the measurements of the cross sections and two-photon widths of these charmonium states.