$π^+χ_{c1}$共振结构可以是$D^*\bar{D}^*$和$D_1\bar{D}$分子吗？
Can the $π^+χ_{c1}$ resonance structures be $D^*\bar{D}^*$ and $D_1\bar{D}$ molecules?
摘要：
我们用QCD求和规则研究了最近在$π^+χ_{c1}$质量分布中观察到的类共振结构，$Z_1^+(4050)$和$Z_2^+(4250)$，分别被认为是量子数为$J^P=0^+$和$J^P=1^-$的$D^{*+}\bar{D}^{*0}$和$D_1^+\bar{D}^0+ D^+\bar{D}_1^0$分子.在PDMATHAMT中，我们考虑了八维以下凝聚体的贡献，并在主序下工作。我们得到$m_{D^*D^*}=(4.15\pm0.12) \GeV$，约100 MeV以上的$D^*D^*$阈值，和$m_{D_1D}=(4.19\pm 0.22) \GeV$，约100 MeV以下的$D_1D$阈值。我们得出结论，$D^{*+}\bar{D}^{*0}$态可能是一个虚态，与$Z_1^+(4050)$共振结构无关。在$D_1D$分子状态的情况下，考虑到误差，其质量与$Z_1^+(4050)$和$Z_2^+(4250)$共振样结构一致。因此，我们得出结论，从目前的分析中无法得出明确的结论。
英文摘要：
We use QCD sum rules to study the recently observed resonance-like structures in the $π^+χ_{c1}$ mass distribution, $Z_1^+(4050)$ and $Z_2^+(4250)$, considered as $D^{*+}\bar{D}^{*0}$ and $D_1^+\bar{D}^0+ D^+\bar{D}_1^0$ molecules with the quantum number $J^P=0^+$ and $J^P=1^-$ respectively. We consider the contributions of condensates up to dimension eight and work at leading order in $α_s$. We obtain $m_{D^*D^*}=(4.15\pm0.12) \GeV$, around 100 MeV above the $D^*D^*$ threshold, and $m_{D_1D}=(4.19\pm 0.22) \GeV$, around 100 MeV below the $D_1D$ threshold. We conclude that the $D^{*+}\bar{D}^{*0}$ state is probably a virtual state that is not related with the $Z_1^+(4050)$ resonance-like structure. In the case of the $D_1D$ molecular state, considering the errors, its mass is consistent with both $Z_1^+(4050)$ and $Z_2^+(4250)$ resonance-like structures. Therefore, we conclude that no definite conclusion can be drawn for this state from the present analysis.
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