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  • Open Access

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

Zhi-Gang Wang*

  • Department of Physics, North China Electric Power University, Baoding 071003, People’s Republic of China

  • *Contact author: zgwang@aliyun.com
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Phys. Rev. D 111, 114009 – Published 12 June, 2025

DOI: https://doi.org/10.1103/hv4x-dnmt

Abstract

In this work, we study the mass spectrum of the hidden-charm hybrid states with the JPC=0−+, 0++, 0−−, 1++, 1+−, 1−+, 1−−, 2−+ and 2++ via the quantum chromodynamics (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 μ=MX/Y/Z2−(2Mc)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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Phys. Rev. D 111, 114009– Published 12 June, 2025
  • Received 17 December 2024
  • Accepted 27 May 2025
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