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arXiv 2407.11136nucl-thnucl-exquant-ph
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$^6$Be 两质子发射中的自旋关联

Spin correlation in two-proton emission from $^6$Be

Tomohiro Oishi

AI总结:

本文通过三体模型和含时计算,评估了$^6$Be两质子发射中的自旋关联,发现CHSH指标$|S|\cong2.65$,超出局域隐变量极限,且该关联对质子-质子相互作用敏感,为核相互作用和全同粒子纠缠提供了新探测手段。

摘要:

本文对两质子($2p$)放射性发射中的自旋关联进行了理论评估。利用经过调整以重现实验能量释放的质子-质子相互作用的 $^{6}$Be 三体模型,进行了含时计算以求解发射出的两个质子的耦合自旋态。作为Clauser-Horne-Shimony-Holt(CHSH)指标的自旋关联函数 $S$ 被评估为 $|S| \ncong 2.65$,即表明 $2p$ 自旋关联超出了局域隐变量(LHV)理论的极限。该关联对质子-质子相互作用敏感,短寿命(宽宽度)的 $2p$ 态具有较弱的自旋关联。同时,在含时衰变过程中,核心-质子相互作用不会损害这一关联。CHSH 测量可以成为探测有限系统内有效核相互作用的新颖手段,两质子发射体可为全同粒子纠缠提供测试场。

英文摘要:

This paper presents a theoretical evaluation of spin correlation in the two-proton ($2p$) radioactive emission. The three-body model of $^{6}$Be with the proton-proton interaction, which is adjusted to reproduce the experimental energy release, is utilized. Time-dependent calculation is performed to compute the coupled-spin state of the emitted two protons. The spin-correlation function $S$ as the Clauser-Horne-Shimony-Holt (CHSH) indicator is evaluated as $|S| \cong 2.65$. Namely, the $2p$-spin correlation beyond the limit of local-hidden-variable (LHV) theory is suggested. This correlation is sensitive to the proton-proton interaction. The short-lived (broad-width) $2p$~state has the weaker spin correlation. In parallel, the core-proton interactions do not harm this correlation during the time-dependent decaying process. The CHSH measurement can be a novel probe into the effective nuclear interaction inside finite systems. Two-proton emitters can provide a testing field for identical-particle entanglement.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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