First amplitude analysis of ψ(3686)→γKS0KS0 with a one-channel K-matrix finds four f0 and three f2 poles consistent with known states and reports branching-fraction ratios to J/ψ decays that constrain possible glueball content.
Semirelativistic potential model for glueball states
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abstract
The masses of two-gluon glueballs are studied with a semirelativistic potential model whose interaction is a scalar linear confinement supplemented by a one-gluon exchange mechanism. The gluon is massless but the leading corrections of the dominant part of the Hamiltonian are expressed in terms of a state dependent constituent gluon mass. The Hamiltonian depends only on 3 parameters: the strong coupling constant, the string tension, and a gluon size which removes all singularities in the leading corrections of the potential. Accurate numerical calculations are performed with a Lagrange mesh method. The masses predicted are in rather good agreement with lattice results and with some experimental glueball candidates.
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Amplitude analysis of $\psi(3686)\to \gamma K_S^0 K_S^0 $
First amplitude analysis of ψ(3686)→γKS0KS0 with a one-channel K-matrix finds four f0 and three f2 poles consistent with known states and reports branching-fraction ratios to J/ψ decays that constrain possible glueball content.