Abstract
We perform an exploratory lattice QCD simulation of \( D\overline{D} \) scattering, aimed at determining the masses as well as the decay widths of charmonium resonances above open charm threshold. Neglecting coupling to other channels, the resulting phase shift for \( D\overline{D} \) scattering in p-wave yields the well-known vector resonance ψ(3770). For m π = 156 MeV, the extracted resonance mass and the decay width agree with experiment within large statistical uncertainty. The scalar charmonium resonances present a puzzle, since only the ground state χ c0(1P ) is well understood, while there is no commonly accepted candidate for its first excitation. We simulate \( D\overline{D} \) scattering in s-wave in order to shed light on this puzzle. The resulting phase shift supports the existence of a yet-unobserved narrow resonance with a mass slightly below 4 GeV. A scenario with this narrow resonance and a pole at χ c0(1P) agrees with the energy-dependence of our phase shift. Further lattice QCD simulations and experimental efforts are needed to resolve the puzzle of the excited scalar charmonia.
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Lang, C.B., Leskovec, L., Mohler, D. et al. Vector and scalar charmonium resonances with lattice QCD. J. High Energ. Phys. 2015, 89 (2015). https://doi.org/10.1007/JHEP09(2015)089
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DOI: https://doi.org/10.1007/JHEP09(2015)089