Tensor glueball–meson mixing phenomenology
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The overpopulated isoscalar tensor states are sifted using Schwinger–type mass relations. Two solutions are found: one where the glueball is the \(f_J(2220)\), and one where the glueball is more distributed, with \(f_2(1820)\) having the largest component. The \(f_2(1565)\) and \(f_J(1710)\) cannot be accommodated as glueball–(hybrid) meson mixtures in the absense of significant coupling to decay channels. \(f_2'(1525)\rightarrow\pi\pi\) is in agreement with experiment. The \(f_J(2220)\) decays neither flavour democratically nor is narrow.
KeywordsDecay Channel Large Component Mass Relation Type Mass Significant Coupling
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