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Identification of the $G(3900)$ as the P-wave $D\bar{D}^*/\bar{D}D^*$ resonance
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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.
Forward citations
Cited by 6 Pith papers
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Emergence of the exotic bottomoniumlike state $Y(10650)$ and support from Belle and Belle II data
A coupled-channel meson-exchange calculation predicts P-wave B(*)Bbar(*) states Y(10600) and Y(10650), with Y(10650) matching threshold anomalies in Belle and Belle II data.
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Resonance parameters of the vector charmoniumlike state $G(3900)$
A coupled-channel fit to e+e- to D meson pairs finds that G(3900) is a dynamically generated P-wave D Dbar* resonance.
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Constraining the $DDD^*$ three-body bound state via the $Z_c(3900)$ pole
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.
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Fully charmed P-wave tetraquark resonant states in the quark model
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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Updated analysis of charmonium states in a relativized quark potential model
A recalibrated relativized quark model assigns chi_c1(4010), chi_c1(4274), chi_c0(4500), and chi_c0(4700) to conventional charmonium states and predicts chi_c0(2P) near 3851 MeV.
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Compositeness relations for near-threshold p-wave bound states
The paper derives p-wave compositeness relations a1 = 2(Z-1)/(Z+2) * 1/(2μB)^{3/2} and r1 = 3Z/(1-Z) sqrt(2μB) using a nonrelativistic effective field theory.
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