Theoretical analysis demonstrates parameter-free glueball mass derivations from root-system condensation, indicating precise alignment with the experimental X(2370) resonance.
We present the B11 module of the ZQCM framework, in which the 0−+ glueball mass emerges as a theorem‑locked output from the B4 root‑system pure‑gauge condensation structure. All structural constants were derived within the ZQCM framework prior to the X(2370) experimental discovery; no adjustable parameter is introduced. The QCD skeleton scale is obtained from the electroweak anchor v=246 GeV via the Coxeter‑difference power law qΔ=(1/5)5 and the S3 spectral resonance constant p=e/5, yielding ΛQCD=211.7 MeV. The 0−+ glueball mass follows as mG=ΛQCD⋅h(B4)h∨(B4)/Δ=2.371 GeV, consistent with the X(2370) resonance at 2.37 GeV within 0.03%. The 0++ glueball mass is predicted as 1.588 GeV, consistent with lattice QCD pure‑gauge results within 0.8%. A projection‑zero theorem proves that the 0−+ glueball does not mix with ordinary mesons at the skeleton level. Decay branching ratio and mixing angle estimates are provided. A cross‑scale duality theorem (T15) demonstrates algebraic equivalence between the low‑energy and high‑energy expansions. The 0++ multi‑state mixing is left as an open problem.
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Qian Zhao (2026) studied this question.
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