Excited charmonium spectrum from anisotropic lattices

We present our final results for the excited charmonium spectrum from a quenched calculation using a fully relativistic anisotropic lattice QCD action. A detailed excited charmonium spectrum is obtained, including both the exotic hybrids (with J = 1−+, 0+−, 2+−) and orbitally excited mesons (with orbital angular momentum up to 3). Using three different lattice spacings (0.197, 0.131, and 0.092 fm), we perform a continuum extrapolation of the spectrum. We convert our results in lattice units to physical values using lattice scales set by the P1 − 1S splitting. The lowest lying exotic hybrid 1−+ lies at 4.428(41) GeV, slightly above the DD (S+P wave) threshold of 4.287 GeV. Another two exotic hybrids 0+− and 2+− are determined to be 4.70(17) GeV and 4.895(88) GeV, respectively. Our finite volume analysis confirms that our lattices are large enough to accommodate all the excited states reported here.