Charmonium-like resonances in coupled $D\bar{D}$-$D_s{\bar{D}}_s$ scattering

Abstract

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.

arXiv comment9 pages, talk presented at LATTICE2021, July 2021, v2: affiliations modified