Study of the hadronic decays ofχcstates

Hadronic decays of the P-wave spin-triplet charmonium states ${\chi }_{\mathrm{cJ}}\mathrm{}(J=0,1,2\mathrm{})\mathrm{}$ are studied using a sample of $\psi \mathrm{}\left(2S\right)\mathrm{}$ decays collected by the BES detector operating at the BEPC storage ring. Branching fractions for the decays ${\chi }_{c1\mathrm{}}\to K_S^0{K}^{+}{\pi }^{-}+\mathrm{c}.\mathrm{c}.\mathrm{},$ ${\chi }_{c0\mathrm{}}\to K_S^0{K}_S^0,$ ${\chi }_{c2\mathrm{}}\to K_S^0{K}_S^0,$ ${\chi }_{c0\mathrm{}}\to \phi \phi ,$ ${\chi }_{c2\mathrm{}}\to \phi \phi$ and ${\chi }_{\mathrm{cJ}}\to K^{+}{K}^{-}{K}^{+}{K}^{-}$ are measured for the first time, and those for ${\chi }_{\mathrm{cJ}}\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-},$ ${\chi }_{\mathrm{cJ}}\to {\pi }^{+}{\pi }^{-}{K}^{+}{K}^{-},$ ${\chi }_{\mathrm{cJ}}\to {\pi }^{+}{\pi }^{-}p\overline{p}$ and ${\chi }_{\mathrm{cJ}}\to 3\left({\pi }^{+}{\pi }^{-}\right)$ are measured with improved precision. In addition, we determine the masses of the ${\chi }_{c0\mathrm{}}$ and ${\eta }_c$ to be $M_{{\chi }_{c0\mathrm{}}}=3414.1\mathrm{}\pm 0.6\left(\mathrm{stat}\right)\pm 0.8\left(\mathrm{syst}\right)\hspace{0.5em}\mathrm{MeV}$ and $M_{{\eta }_c}=2975.8\mathrm{}\pm 3.9\left(\mathrm{stat}\right)\pm 1.2\left(\mathrm{syst}\right)\hspace{0.5em}\mathrm{MeV}.$