Properties of heavy quarkonia and $B_c$ mesons in the relativistic quark model
By D. Ebert, R. Faustov, V. Galkin. 2002
327 citations recorded by the source corpus.
The mass spectra and electromagnetic decay rates of charmonium, bottomonium and B_c mesons are comprehensively investigated in the relativistic quark model. The presence of only heavy quarks allows the expansion in powers of their velocities. All relativistic corrections of order v^2/c^2, including retardation effects and one-loop radiative corrections, are systematically taken into account in the computations of the mass spectra. The obtained wave functions are used for the calculation of radiative magnetic dipole (M1) and electric dipole (E1) transitions. It is found that relativistic effects play a substantial role. Their account and the proper choice of the Lorentz structure of the quark-antiquark interaction in a meson is crucial for bringing theoretical predictions in accord with experimental data. A detailed comparison of the calculated decay rates and branching fractions with available experimental data for radiative decays of charmonium and bottomonium is presented. The possibilities to observe the currently missing spin-singlet S and P states as well as D states in bottomonium are discussed. The results for B_c masses and decays are compared with other quark model predictions.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/01ca1e4276c02f02ed23ff67ad8d96ed41dad1ea
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In Nuclear and High Energy Physics
Citations in the corpus
- Quarkonia and their transitions (2007, methodology): “Numerous papers have studied these M1 transitions including full relativistic corrections (Ebert et al., 2003a; Godfrey and Isgur, 1985; Godfrey and Rosner, 2001b; Grotch et al., 1984; Lahde, 2003; Zambetakis and Byers, 1983; Zhang et al., 1991).”
- Exotics: Heavy pentaquarks and tetraquarks (2017, background): “y accepted to represent the conventional bottomonium states h b (11P 1, 1+ ) and h0 b (2 1P 1, 1 + ), as their masses were found within 2.7 MeV and 1.2 MeV of relativistic potential model predictions [257]. In a second step, the observation of the h b(1P) and the h b(2P) also enabled the study of th”