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arXiv · 2412.11038

Mass spectrum of the hidden-charm hybrid states via the QCD sum rules

Zhi-Gang Wang
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Abstract

In this work, we study the mass spectrum of the hidden-charm hybrid states with the $J^{PC}=0^{-+}$, $0^{++}$, $0^{--}$, $1^{++}$, $1^{+-}$, $1^{-+}$, $1^{--}$, $2^{-+}$ and $2^{++}$ via the QCD sum rules in a consistent way. We calculate the vacuum condensates up to dimensions-6 by taking account of both the leading order and next-to-leading order contributions, and take the energy scale formula $\mu=\sqrt{M^2_{X/Y/Z}-(2{\mathbb{M}}_c)^2}$ to choose the suitable energy scales of the QCD spectral densities, it is the first time to explore the energy scale dependence of the QCD sum rules for the hidden-charm hybrid states.

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Zhi-Gang Wang. 2024-12-15. Mass spectrum of the hidden-charm hybrid states via the QCD sum rules. https://doi.org/10.1103/hv4x-dnmt

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