Charmonium-like resonances and bound states with isospin zero and $J^{ PC}=0^{ ++},~1^{ --},~2^{ ++},~3^{ --}$ are extracted on the lattice. Coupled $D\bar D$ and $D_s\bar D_s$ scattering suggests three charmonium-like states with $J^{ PC}=0^{ ++}$ in addition to $\chi_{ c0}(1P)$: a so far unobserved $D\bar D$ bound state just below threshold, a conventional resonance likely related to $\chi_{ c0}(3860)/\chi_{ c0}(2P)$ and a narrow resonance just below the $D_s\bar D_s$ threshold with a large coupling to $D_s\bar D_s$ likely related to $X(3915)/\chi_{ c0}(3930)$. One-channel $D\bar D$ scattering renders resonances and bound states with $J^{ PC}= 1^{ --},~2^{ ++},~3^{ --}$ related to the observed conventional charmonia. Lattice QCD ensembles from the CLS consortium with $m_{ \pi}\simeq 280$ MeV are utilized.
Categories: hep-lat hep-ph