论文标题
搜索$ d \ bar d $绑定状态与$ψ（3770）\toγd^0 \ bar d^0 $ decay
Searching for a $D \bar D$ bound state with the $ψ(3770) \to γD^0 \bar D^0$ decay
论文作者
论文摘要
我们对$ψ（3770）\至γd\ b d $衰减中的质量分布进行计算，同时研究$ d^+ d^ - $和$ d^0 \ bar d^0 $衰减。电磁相互作用使得中性通道的树水平振幅为无效，这使$ψ（3770）\ toγd^0 \ bar d^0 $通过涉及$ d^+ d^ - \ d^0 \ bar d^0 \ bar d^0 $散射降低的环路进行。我们将结果用于预测$ d \ b d $绑定状态的理论模型的幅度，并在衰减与相位空间截然不同的情况下找到$ d^0 \ bar d^0 $质量分布。所获得的速率相对较高，并且在当前的BESIII设施中很容易可行。该实验的性能可以为这一搜索状态的问题提供答案，这是$ f_0（980）$共振的类似物。
We perform a calculation of the mass distribution in the $ψ(3770) \to γD \bar D$ decay, studying both the $D^+ D^- $ and $D^0 \bar D^0 $ decays. The electromagnetic interaction is such that the tree level amplitude is null for the neutral channel, which leaves the $ψ(3770) \to γD^0 \bar D^0$ proceeding through a loop involving the $D^+ D^- \to D^0 \bar D^0$ scattering amplitude. We use the results for this amplitude of a theoretical model that predicts a $D \bar D$ bound state and find a $D^0 \bar D^0 $ mass distribution in the decay drastically different than phase space. The rates obtained are relatively large and the experiment is easily feasible in the present BESIII facility. The performance of this experiment could provide an answer to the issue of this much searched for state, which is the analogue of the $f_0(980)$ resonance.
