Charmonium-like resonances with JPC = 0++, 2++ in coupled D D ¯, DsD¯s scattering on the lattice
Abstract
We present the first lattice investigation of coupled-channel D D ¯ and DsD¯s scattering in the JPC = 0++ and 2++ channels. The scattering matrix for partial waves l = 0, 2 and isospin zero is determined using multiple volumes and inertial frames via Lüscher's formalism. Lattice QCD ensembles from the CLS consortium with mπ ≃ 280 MeV, a ≃ 0.09 fm and L/a = 24, 32 are utilized. The resulting scattering matrix suggests the existence of three charmonium-like states with JPC = 0++ in the energy region ranging from slightly below 2mD up to 4.13 GeV. We find a so far unobserved D D ¯ bound state just below threshold and a D D ¯ resonance likely related to χc0(3860), which is believed to be χc0(2P). In addition, there is an indication for a narrow 0++ resonance just below the DsD¯s threshold with a large coupling to DsD¯s and a very small coupling to D D ¯. This resonance is possibly related to the narrow X(3915)/χc0(3930) observed in experiment also just below DsD¯s. The partial wave l = 2 features a resonance likely related to χc2(3930). We work with several assumptions, such as the omission of J/ψω, ηcη and three-particle channels. Only statistical uncertainties are quantified, while the extrapolations to the physical quark-masses and the continuum limit are challenges for the future.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- June 2021
- DOI:
- 10.1007/JHEP06(2021)035
- arXiv:
- arXiv:2011.02542
- Bibcode:
- 2021JHEP...06..035P
- Keywords:
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- Lattice field theory simulation;
- QCD Phenomenology;
- High Energy Physics - Lattice;
- High Energy Physics - Phenomenology
- E-Print:
- 41 pages, 16 figures