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Vector and Scalar Mesons' Mixing from QCD Sum Rules

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arxiv 1903.06381 v3 pith:FYFJEVJG submitted 2019-03-15 hep-ph

Ze-Sheng Chen , Zhu-Feng Zhang , Zhuo-Ran Huang , T. G. Steele , Hong-Ying Jin This is my paper · ORCID
classification hep-ph
keywords mixingmesonsscalarvectorcurrentglueballhybridlight
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abstract

We study $\bar qq$-hybrid mixing for the light vector mesons and $\bar qq$-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 $\bar q\gamma_\mu q$ (scalar $\bar q q$) current and a hybrid (glueball) 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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