Observation of \chi_{cJ} decaying into the p\bar{p}K^{+}K^{-} final state

First measurements of the decays of the three $\chi_{cJ}$ states to $p\bar{p}K^{+}K^{-}$ final states are presented. Intermediate $\phi\to K^{+}K^{-}$ and $\Lambda(1520)\to pK^{-}$ resonance states are observed, and branching fractions for $\chi_{cJ}\to \bar{p}K^{+}\Lambda(1520)$, $\Lambda(1520) \bar{\Lambda}(1520)$, and $\phi p\bar{p}$ are reported. We also measure branching fractions for direct $\chi_{cJ}\to p\bar{p} K^{+}K^{-}$ decays. These are first observations of $\chi_{cJ}$ decays to unstable baryon resonances and provide useful information about the $\chi_{cJ}$ states. The experiment uses samples of $\chi_{cJ}$ mesons produced via radiative transitions from 106 million $\psi^{\prime}$ mesons collected in the BESIII detector at the BEPCII $e^+e^-$ collider.