Two-photon widths of the {chi}{sub cJ} states of charmonium

Using a data sample of 24.5x10{sup 6} {psi}(2S) the reactions {psi}(2S){yields}{gamma}{chi}{sub cJ}, {chi}{sub cJ}{yields}{gamma}{gamma} have been studied for the first time to determine the two-photon widths of the {chi}{sub cJ} states of charmonium in their decay into two photons. The measured quantities are B({psi}(2S){yields}{gamma}{chi}{sub c0})xB({chi}{sub c0}{yields}{gamma}{gamma})=(2.17{+-}0.32{+-}0.10)x10{sup -5} and B({psi}(2S){yields}{gamma}{chi}{sub c2})xB({chi}{sub c2}{yields}{gamma}{gamma})=(2.68{+-}0.28{+-}0.15)x10{sup -5}. Using values for B({psi}(2S){yields}{gamma}{chi}{sub c0,c2}) and {gamma}({chi}{sub c0,c2}) from the literature the two-photon widths are derived to be {gamma}{sub {gamma}}{sub {gamma}}({chi}{sub c0})=(2.36{+-}0.35{+-}0.22) keV, {gamma}{sub {gamma}}{sub {gamma}}({chi}{sub c2})=(0.66{+-}0.07{+-}0.06) keV, and R{identical_to}{gamma}{sub {gamma}}{sub {gamma}}({chi}{sub c2})/{gamma}{sub {gamma}}{sub {gamma}}({chi}{sub c0})=0.278{+-}0.050{+-}0.036. The importance of the measurement of R is emphasized. For the forbidden transition, {chi}{sub c1}{yields}{gamma}{gamma}, an upper limit of {gamma}{sub {gamma}}{sub {gamma}}({chi}{sub c1})<0.03 keV is established.