Spectroscopy and Regge trajectories of heavy quarkonia and B c mesons

• Published in: The European physical journal. C, Particles and fields Vol. 71; no. 12; pp. 1 - 13
• Main Authors: Ebert, D., Faustov, R. N., Galkin, V. O.
• Format: Journal Article
• Language: English
• Published: Heidelberg Springer Nature B.V 01-12-2011
• Subjects: Angular momentum; Charm (particle physics); Mass spectra; Mesons; Nonlinearity; Quantum chromodynamics; Quark models; Quarks; Spectrum analysis; Trajectories
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-011-1825-9

The mass spectra of charmonia, bottomonia and Bc mesons are calculated in the framework of the QCD-motivated relativistic quark model based on the quasipotential approach. The dynamics of heavy quarks and antiquarks is treated fully relativistically without application of the nonrelativistic v2/c2 expansion. The known one-loop radiative corrections to the heavy quark potential are taken into account perturbatively. The heavy quarkonium masses are calculated up to rather high orbital and radial excitations (L=5, nr=5). On this basis the Regge trajectories are constructed both in the total angular momentum J and radial quantum number nr. It is found that the daughter trajectories are almost linear and parallel, while parent trajectories exhibit some nonlinearity in the low mass region. Such nonlinearity is most pronounced for bottomonia and is only marginal for charmonia. The obtained results are compared with the available experimental data, and a possible interpretation of the new charmonium-like states above open charm production threshold is discussed.