联合$Λ\barΛ$衰变中的纠缠
Entanglement in joint $Λ\barΛ$ decay
摘要：
我们研究了反应$e^+ e^- \rightarrow γΛ(\rightarrow pπ^-) \barΛ(\rightarrow \bar{p}π^+)$中的联合$Λ\barΛ$衰变。这个反应可以提供类时区域中λ重子的电磁形状因子的信息。我们提出了一个传统的基于量子力学的计算，其中生产和衰变步骤是连贯的，并在最终状态的质子和反质子自旋的总和进行。由此产生的截面分布是显式协变的，因为它是表示在参与粒子的四个动量矢量的标量积。我们比较这种计算的折叠方法，我们延长，明确协变。在折叠方法中，产生和衰减分布，而不是振幅，被折叠在一起。特别重要的是正确计算可能的中间超子自旋态的数目。
英文摘要：
We investigate the joint $Λ\barΛ$ decay in the reaction $e^+ e^- \rightarrow γΛ(\rightarrow pπ^-) \barΛ(\rightarrow \bar{p}π^+)$. This reaction may provide information on the electromagnetic form factors of the Lambda baryon, in the time-like region. We present a conventional diagram-based calculation where production and decay steps are coherent and summations over final-state proton and anti-proton spins are performed. The resulting cross-section distribution is explictly covariant as it is expressed in scalar products of the four-momentum vectors of the participating particles. We compare this calculation with that of the folding method which we extend and make explicitly covariant. In the folding method production and decay distributions, not amplitudes, are folded together. Of particular importance is then a correct counting of the number of possible intermediate-hyperon-spin states.
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