Masses of the η_c(nS) and η_b(nS) mesons

Details Masses of the η_c(nS) and η_b(nS) mesons Masses of the η_c(nS) and η_b(nS) mesons

2006-09-05

arxiv.org/abs/hep-ph/0609044v1

Phys.Lett.B646:29-33,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, no figures

Scientific paper

10.1016/j.physletb.2006.12.066

The hyperfine splittings in heavy quarkonia are studied using new experimental data on the di-electron widths. The smearing of the spin-spin interaction is taken into account, while the radius of smearing is fixed by the known $J/\psi-\eta_c(1S)$ and $\psi(2S)-\eta'_c(2S)$ splittings and appears to be small, $r_{ss} \approx 0.06$ fm. Nevertheless, even with such a small radius an essential suppression of the hyperfine splittings ($\sim 50%)$ is observed in bottomonium. For the $nS b\bar b$ states $(n=1,2,...6)$ the values we predict (in MeV) are 28, 12, 10, 6, 6, and 3, respectively. In single-channel approximation for the $3S$ and $4S$ charmonium states the splittings 16(2) MeV and 12(4) MeV are obtained.

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