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Dielectron widths of the S-, D-vector bottomonium states

High Energy Physics - Phenomenology 2010-02-17 v3 High Energy Physics - Experiment

Abstract

The dielectron widths of Υ(nS)(n=1,...,7)\Upsilon(nS) (n=1,...,7) and vector decay constants are calculated using the Relativistic String Hamiltonian with a universal interaction. For Υ(nS)(n=1,2,3)\Upsilon(nS) (n=1,2,3) the dielectron widths and their ratios are obtained in full agreement with the latest CLEO data. For Υ(10580)\Upsilon(10580) and Υ(11020)\Upsilon(11020) a good agreement with experiment is reached only if the 4S--3D mixing (with a mixing angle θ=27±4\theta=27^\circ\pm 4^\circ) and 6S--5D mixing (with θ=40±5\theta=40^\circ\pm 5^\circ) are taken into account. The possibility to observe higher "mixed DD-wave" resonances, Υ~(n3D1)\tilde\Upsilon(n {}^3D_1) with n=3,4,5n=3,4,5 is discussed. In particular, Υ~(11120)\tilde\Upsilon(\approx 11120), originating from the pure 53D15 {}^3D_1 state, can acquire a rather large dielectron width, 130\sim 130 eV, so that this resonance may become manifest in the e+ee^+e^- experiments. On the contrary, the widths of pure DD-wave states are very small, Γee(n3D1)2\Gamma_{ee}(n{}^3 D_1) \leq 2 eV.

Keywords

Cite

@article{arxiv.0903.3643,
  title  = {Dielectron widths of the S-, D-vector bottomonium states},
  author = {A. M. Badalian and B. L. G. Bakker and I. V. Danilkin},
  journal= {arXiv preprint arXiv:0903.3643},
  year   = {2010}
}

Comments

13 pages, no figures