Authors: Patrick S. Walters
A brief discussion on the problems of light scalar meson spectroscopy is given. A mass mixing regime for pure scalar tetraquarks, pure scalar mesons, and a pure scalar glueball is presented, resulting in the realization of the experimentally observed masses in the scalar I = 0, I = 1, and I = 1/2 channels. The matrix elements are calculated according to SU(3) flavor symmetry, OZI rules for process diagrams, and best fit to experimental data. The glueball-meson mixing elements are taken to be imaginary in order to account for the reduction in mass of the mixed glueball. The mixing matrix elements are used to compute the unitary flavor amplitude matrices, which are presented and further used to calculate theoretical partial widths for the decays S → PiPj. New theoretical mass and error for f0 (600), as well as an approximate two-pseudoscalar total width, are given in summary, along with the predicted branching ratio Γ(fgg → ηη)/Γ(fgg → ππ) for the pure glueball state which may be present in E760 neutral data. The new states f0 (1200 – 1600), f0 (1790), and X(1810) are mentioned as well, and explained briefly according to the new mixing scheme.
Comments: 24 Pages.
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[v1] 2013-11-11 20:05:27
[v2] 2013-11-12 09:48:36
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