Potential model calculations and predictions for heavy quarkonium

Details Potential model calculations and predictions for heavy quarkonium Potential model calculations and predictions for heavy quarkonium

2007-01-15

arxiv.org/abs/hep-ph/0701117v3

Phys.Rev.D75:074031,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

Physical Review published version

Scientific paper

10.1103/PhysRevD.75.074031

We investigate the spectroscopy and decays of the charmonium and upsilon systems in a potential model consisting of a relativistic kinetic energy term, a linear confining term including its scalar and vector relativistic corrections and the complete perturbative one-loop quantum chromodynamic short distance potential. The masses and wave functions of the various states are obtained using a variational technique, which allows us to compare the results for both perturbative and nonperturbative treatments of the potential. As well as comparing the mass spectra, radiative widths and leptonic widths with the available data, we include a discussion of the errors on the parameters contained in the potential, the effect of mixing on the leptonic widths, the Lorentz nature of the confining potential and the possible $c\bar{c}$ interpretation of recently discovered charmonium-like states.

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