Systematic analysis of the D-wave charmonium states with the QCD sum rules

2024/09/12 by Xin, Qi, Wang, Zhi-Gang
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.2409.08051

Abstract

We systematically study the 1D charmonium spin-triplet (with the J^PC=1^--, 2^--, 3^--) and spin-singlet (with the J^PC=2^-+) via the QCD sum rules in comparison with the recent experimental results. The predicted mass M_ψ1=3.77±0.09 \rm GeV supports identifying the ψ₁ as the ψ(3770), the value M_ψ2=3.82±0.09 \rm GeV is consistent with the reported observation of the ψ₂(3823), the prediction M_ψ3=3.84±0.08 \rm GeV supports identifying the ψ₃ as the ψ₃(3842). Additionally, we estimate the unobserved η_c2 state lies at 3.83±0.09 \rm GeV, and suggest detection prospects in the future. More experimental data will help us to unravel the mass spectrum of the charmonium states near the open-charm thresholds.

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