Vector and Scalar Mesons' Mixing from QCD Sum Rules

2019 
We study $$ \overline{q} $$q-hybrid mixing for the light vector mesons and $$ \overline{q} $$q-glueball mixing for the light scalar mesons in Monte-Carlo based QCD Laplace sum rules. By calculating the two-point correlation function of a vector $$ \overline{q} $$γμq (scalar $$ \overline{q} $$q) current and a hybrid (glue- ball) current we are able to estimate the mass and the decay constants of the corresponding mixed “physical state” that couples to both currents. Our results do not support strong quark/gluonic mixing for either the 1−− or the 0++ states.
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