Charmonium-like resonances with JPC = 0++, 2++ in coupled $$ \mathrm{D}\overline{\mathrm{D}} $$, $$ {\mathrm{D}}_{\mathrm{s}}{\overline{\mathrm{D}}}_{\mathrm{s}} $$ scattering on the lattice

A bstract We present the first lattice investigation of coupled-channel $$ D\overline{D} DD¯ and {D}_s{\overline{D}}_s xmlns:mml="http://www.w3.org/1998/Math/MathML">DsD¯s scattering in J PC = 0 ++ 2 channels. The matrix for partial waves l , isospin zero is determined using multiple volumes inertial frames via Lüscher’s formalism. Lattice QCD ensembles from CLS consortium with m ? ? 280 MeV, a . 09 fm L/a 24 32 are utilized. resulting suggests existence three charmonium-like states energy region ranging slightly below mD up to 4 13 GeV. find so far unobserved bound state just threshold resonance likely related ? c (3860), which believed be (2 P ). In addition, there an indication narrow large coupling very small This possibly X (3915) /? (3930) observed experiment also wave features (3930). work several assumptions, such as omission J/?? ? three-particle Only statistical uncertainties quantified, while extrapolations physical quark-masses continuum limit challenges future.