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Scalar Glueball--Quarkonium Mixing and the Structure of the QCD Vacuum

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arxiv hep-ph/9909322 v1 pith:GVT5GQDS submitted 1999-09-10 hep-ph

classification hep-ph
keywords mixingscalarvacuumamountanalysisangleassumingbroken
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We use Ward identities of broken scale invariance to infer the amount of scalar glueball--$\bar{q}q$ meson mixing from the ratio of quark and gluon condensates in the QCD vacuum. Assuming dominance by a single scalar state, as suggested by a phase-shift analysis, we find a mixing angle $\gamma \sim 36^{\circ}$, corresponding to near-maximal mixing of the glueball and $\bar{s}s$ components.

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