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Identification of the $G(3900)$ as the P-wave $D\bar{D}^*/\bar{D}D^*$ resonance

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arxiv 2403.01727 v2 pith:Y7AVX4JV submitted 2024-03-04 hep-ph hep-exhep-latnucl-th

classification hep-phhep-exhep-latnucl-th
keywords p-waveddbarstateresonancecrossidentificationrightarrows-wave
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The BESIII Collaboration recently performed a precise measurement of the $e^+e^-\rightarrow D\bar{D}$ Born cross sections, and confirmed the $G(3900)$ structure reported by BaBar and Belle with high significance. We identify the $G(3900)$ as the first P-wave $\DDbar$ molecular resonance. The experimental and theoretical identification of the P-wave dimeson state holds paramount importance in enhancing our comprehension of the non-perturbative QCD and few-body physics. Its existence is firmly established in a unified meson-exchange model which simultaneously depicts the features of the $\chi_{c1}(3872)$, $Z_c(3900)$ and $T_{cc}(3875)$. This scenario can be directly examined in the $e^+e^-\rightarrow D\bar{D}^*/\bar{D}D^*$ cross section by seeing whether a resonance exists at the threshold. The credibility of the investigations is also ensured by the fact that the P-wave interaction dominantly arises from the well-known long-range pion exchange. Additionally, thanks to the centrifugal barrier, it is easier to form resonances in P-wave than in S-wave. We extensively calculate all systems up to P-wave with various quantum numbers and predict a dense population of the $\DDbar$ and $\DD$ states, where the S-wave $\DDbar$ state with $I^G (J^{PC})=0^- (1^{+-})$, P-wave $\DDbar$ state with $I^G(J^{PC})=0^+(0^{-+})$, and P-wave $\DD$ state with $I(J^P)=0(0^-)$ are more likely to be observed in experiments.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Constraining the $DDD^*$ three-body bound state via the $Z_c(3900)$ pole

    hep-ph 2024-12 conditional novelty 6.0 of 10

    A model-dependent study showing that the existence of a DDD* bound state is tied to the virtual-state pole position of Zc(3900), with binding occurring only for near-threshold Zc poles.

  2. Fully charmed P-wave tetraquark resonant states in the quark model

    hep-ph 2024-11 conditional novelty 6.0 of 10

    A quark-model calculation predicts compact fully charmed P-wave tetraquark resonances near 7.0 to 7.2 GeV, including exotic J^PC = 0^-- and 1^-+ states, and finds no narrow tetraquark candidates below 7 GeV for X(6400...

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