$\Omega^-\bar{\Omega}^+$ 对中四维纠缠的束流极化启用见证
Beam-polarization-enabled witness of four-dimensional entanglement in $Ω^-\barΩ^+$ pairs
- College of Physics, Jilin University（吉林大学物理学院）
- Institute of High Energy Physics, Chinese Academy of Sciences（中国科学院高能物理研究所）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
研究 $e^+e^-\to\psi(3686)$ 中 $\Omega^-\bar{\Omega}^+$ 对的四维纠缠，利用束流极化控制螺旋度干涉，通过负性判据和 BESIII 参数确定临界极化，实现纠缠见证。
AI中文摘要：
我们研究了在 $e^+e^-\to\psi(3686)$ 过程中产生的 $\Omega^-\bar{\Omega}^+$ 对的纠缠结构，重点关注纠缠是否需要每个自旋-$3/2$ 重子的完整四维自旋空间。束流极化控制母态布居和相干性，从而改变螺旋度干涉。利用负性判据 $\Neg>1$ 和已测量的 BESIII 螺旋度参数，我们发现对于相等横向极化，每束临界极化约为 $0.65$；对于相等且相反的纵向极化，每束临界极化约为 $0.57$。完全横向极化给出接近最大的峰值负性，$\Neg_{\rm peak}\simeq1.50$，并且满足见证的产生率加权角分数为 $0.60$。在最优产生方向上，相消干涉移除了不等螺旋度通道，而相关等螺旋度振幅的近似相等产生了近乎相等的 Schmidt 系数。组分夸克基准进一步表明，见证的角范围对相对相位比峰值负性更敏感。这些结果将极化控制的螺旋度干涉与高自旋重子产生中的四维纠缠联系起来。
英文摘要：
We study the entanglement structure of $Ω^-\barΩ^+$ pairs produced in $e^+e^-\toψ(3686)$, focusing on whether the entanglement requires the full four-dimensional spin space of each spin-$3/2$ baryon. Beam polarization controls the parent-state populations and coherence, thereby modifying helicity interference. Using the negativity criterion $\Neg>1$ and the measured BESIII helicity parameters, we find critical polarizations of about $0.65$ per beam for equal transverse polarization and $0.57$ per beam for equal-and-opposite longitudinal polarization. Full transverse polarization gives a near-maximal peak negativity, $\Neg_{\rm peak}\simeq1.50$, with a production-rate-weighted angular fraction of $0.60$ satisfying the witness. At the optimal production directions, destructive interference removes the unequal-helicity channels, while the near equality of the relevant equal-helicity amplitudes yields nearly equal Schmidt coefficients. Constituent-quark benchmarks further show that the angular extent of the witness is more sensitive to relative phases than the peak negativity. These results link polarization-controlled helicity interference to four-dimensional entanglement in high-spin baryon production.
