Abstract
We review selected lattice results on the charmonium spectrum and first attempts to search for the existence of exotic states. The hadro-quarkonium model was proposed to interpret some of the exotic states as a quarkonium core inside a hadron. We present a lattice study of the hadro-quarkonium model in the limit of static quarks. The charm quark decouples in low energy observables and binding energies of charmonium. In a model calculation we are able to evaluate the corrections to decoupling of the charm quark in the continuum.
Highlights
In the period 1974-1977, 10 charmonium ccresonances were discovered
We review selected lattice results on the charmonium spectrum and first attempts to search for the existence of exotic states
We show the results of the charmonium spectrum from a calculation by the Hadron Spectrum Collaboration [6, 7]
Summary
In the period 1974-1977, 10 charmonium ccresonances were discovered. Since 2002 new cc’s were found by BaBar, Belle, CLEO-c, CDF, D0 [1]. Some of these states are exotic (or charmoniumlike) and are labeled as X, Y or Z candidates. Charmonium resonances can be studied on the lattice. States above the open charm thresholds DDetc. On a finite Euclidean lattice there is no dynamical real-time and no asymptotic states. A workaround is that scattering data can be inferred from the spectrum of QCD in a finite volume below the inelastic threshold [3, 4]. For a recent review on scattering on the lattice see [5]
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