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电子与自旋为0的核弹性散射中的束法单自旋不对称性

Beam-normal single-spin asymmetry in elastic scattering of electrons from a spin-0 nucleus

Oleksandr Koshchii, Mikhail Gorchtein, Xavier Roca-Maza, Hubert Spiesberger

发表信息：
Phys. Rev. C 103, 064316 (2021)
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摘要：

本文研究了高能弹性电子与多个自旋为0的原子核散射中的束法向单自旋不对称性。现有的理论方法工作在平面波形式主义和预测的BNSSA的规模为$\sim A/Z$与原子序数$Z$和核质量数$A$。虽然这一预测适用于轻核和中间核，但PREX合作组对$^{208}$ Pb观测到的BNSSA的符号和大小存在显著分歧，这被称为“PREX之谜”。为了阐明这一分歧，我们超越了平面波的方法，忽略了库仑扭曲已知是显着的重核。我们明确调查的依赖性BNSSA $A$和$Z$的i）包括非弹性中间态的贡献到库仑问题中的光学势的形式，ii）通过占$A$ -依赖的康普顿斜率参数的实验信息，和iii）给出了一个彻底的考虑计算的不确定性。尽管有这些改进，PREX之谜仍然无法解释。我们讨论进一步的策略来解决这个谜。

英文摘要：

We study the beam-normal single-spin asymmetry (BNSSA) in high-energy elastic electron scattering from several spin-0 nuclei. Existing theoretical approaches work in the plane-wave formalism and predict the BNSSA to scale as $\sim A/Z$ with the atomic number $Z$ and nuclear mass number $A$. While this prediction holds for light and intermediate nuclei, a striking disagreement in both the sign and the magnitude of BNSSA was observed by the PREX collaboration for $^{208}$Pb, coined the "PREX puzzle". To shed light on this disagreement, we go beyond the plane-wave approach which neglects Coulomb distortions known to be significant for heavy nuclei. We explicitly investigate the dependence of BNSSA on $A$ and $Z$ by i) including inelastic intermediate states' contributions into the Coulomb problem in the form of an optical potential, ii) by accounting for the experimental information on the $A$-dependence of the Compton slope parameter, and iii) giving a thorough account of the uncertainties of the calculation. Despite of these improvements, the PREX puzzle remains unexplained. We discuss further strategies to resolve this riddle.

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