Optimization of the nonrelativistic potential model for $b\overline{b}$ quarkonia

Leszek Motyka; Kacper Zalewski

Optimization of the nonrelativistic potential model for $b\overline{b}$ quarkonia

High Energy Physics - Phenomenology 2009-09-25 v1

Authors: Leszek Motyka , Kacper Zalewski

Abstract

A systematic study of a wide class of nonrelativistic models of $b\overline{b}$ quarkonia is described. It is found that the potential $V(r) = 0.706380(\sqrt{r} - \frac{0.460442}{r}) + 8.81715$ (all in GeV) with the $b$ -quark mass $m_b = 4.80303$ GeV gives a satisfactory description of the experimental data below the threshold for strong decays ( $\chi^2/DF = 6.5/7$ ). Limitations and implications of this observation are discussed.

Keywords

nonrelativistic potential model bottomonium quarkonia potential fit strong decay threshold b-quark mass

Cite

@article{arxiv.hep-ph/9503420,
  title  = {Optimization of the nonrelativistic potential model for $b\overline{b}$ quarkonia},
  author = {Leszek Motyka and Kacper Zalewski},
  journal= {arXiv preprint arXiv:hep-ph/9503420},
  year   = {2009}
}

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9 pages, two figures available on request from authors

Optimization of the nonrelativistic potential model for $b\overline{b}$ quarkonia

Abstract

Keywords

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