Abstract
The mass spectra of charmonia and bottomonia are calculated in the framework of the relativistic quark model up to high orbital and radial excitations. The Regge trajectories of heavy quarkonia are constructed both in the (J,M 2) and (n r ,M 2) planes, where J is the total angular momentum and nr is the radial quantum number. All daughter trajectories turn out to be almost linear and parallel, while parent trajectories exhibit some nonlinearity. Such nonlinearity occurs only in the vicinity of ground states and few lowest excitations and is more pronounced for bottomonia, while it is only marginal for charmonia. The obtained results are compared with available experimental data, and a possible interpretation of the new charmonium-like states above open charm production threshold is discussed.
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Ebert, D., Faustov, R.N. & Galkin, V.O. Spectroscopy and Regge trajectories of heavy quarkonia in the relativistic quark model. Phys. Atom. Nuclei 76, 1554–1562 (2013). https://doi.org/10.1134/S1063778813110057
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DOI: https://doi.org/10.1134/S1063778813110057