Abstract
Inspired by the recent observations of the vector charmonium-like states at BES III Collaboration and $\psi(3842)$ at LHCb Collaboration, we comb the $D$ wave charmonium state in the present work. We first evaluate the possibility of $Y(4320)$ as $\psi(3^3D_1)$ by investigating its open charm decays in quark-pair creation model and we find the width of $Y(4320)$ can be reproduced in a reasonable parameter range. Moreover, we take $\psi(3770)$, $\psi(4160)$ and $Y(4320)$ as the scale of $1D$, $2D$ and $3D$ charmonia to estimate the open charm decays of other $D$ wave charmonia. The total and partial widths of $D$ wave charmonium states have been predicted, which could be tested by further measurements at LHCb and Belle II Collaborations.
Highlights
By analyzing the precise cross sections for eþe− → ωχc0 [1], eþe− → πþπ−J=ψ [2], eþe− → πþπ−hc [3], and eþe− → πþD0DÃ− [4], the BESIII Collaboration reported a series of vector charmoniumlike states, which are Yð4220Þ, Yð4320Þ, and Yð4390Þ
We first evaluate the possibility of Yð4320Þ as ψð33D1Þ by investigating its open charm decays in the quark-pair creation model and we find the width of Yð4320Þ can be reproduced in a reasonable parameter range
In the QPC model, the parameter γ is introduced to represent the strength of the quark-antiquark pair creation from the vacuum and it could be fixed by fitting the decay data
Summary
By analyzing the precise cross sections for eþe− → ωχc0 [1], eþe− → πþπ−J=ψ [2], eþe− → πþπ−hc [3], and eþe− → πþD0DÃ− [4], the BESIII Collaboration reported a series of vector charmoniumlike states, which are Yð4220Þ, Yð4320Þ, and Yð4390Þ. Recent precise analysis from BESIII Collaboration indicates the structure Yð4260Þ should contain two charmoniumlike state, Yð4220Þ and Yð4320Þ [2] The former one is consistent with the one observed in the channels of χc0ω, πþπ−hc and πþD0DÃ−. Another D-wave charmonia candidate, ψð3823Þ, was firstly observed by Belle Collaboration [32] and confirmed by BES III Collaboration [33].
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