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arXiv 2302.04672hep-ph
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核子相对论极化与磁化分布

Nucleon relativistic polarization and magnetization distributions

Yi Chen, Cédric Lorcé

AI总结:

本研究采用量子相空间方法首次研究自旋1/2靶内相对论极化与磁化分布,提出用Sachs分解定义极化-磁化张量更自然,修正了光前磁化分布的定义,并以核子为例用实验形状因子验证了结果。

摘要:

作为我们关于电磁四流工作的后续研究,我们首次在量子相空间方法框架内,研究了自旋1/2靶内部的相对论极化与磁化空间分布。尽管极化-磁化张量通常通过电磁四流的戈登分解来定义,但布赖特(Breit)系分析表明,当改用萨克斯(Sachs)分解来定义极化-磁化张量时,会得到物理上更简单、更自然的系统图像。我们将运动靶的相对论极化与磁化分布同其光前对应量进行了比较。特别地,我们证明了真正的光前磁化分布是由Sachs磁形状因子的傅里叶变换定义的,而非此前文献中提出的由泡利(Pauli)形状因子定义。最后,我们利用从实验数据中提取的电磁形状因子,以核子为例说明了我们的研究结果。

英文摘要:

As a follow up of our work on the electromagnetic four-current, we study for the first time the relativistic polarization and magnetization spatial distributions inside a spin-$\frac{1}{2}$ target within the quantum phase-space approach. While the polarization-magnetization tensor is usually defined in terms of the Gordon decomposition of the electromagnetic four-current, a Breit frame analysis reveals that a physically simpler and more natural picture of the system arises when the polarization-magnetization tensor is instead defined in terms of a Sachs decomposition. Relativistic polarization and magnetization distributions for a moving target are compared with their light-front counterparts. In particular, we show that the genuine light-front magnetization distributions are defined in terms of Fourier transforms of the Sachs magnetic form factor, rather than in terms of the Pauli form factor as suggested earlier in the literature. We finally illustrate our results in the case of a nucleon using the electromagnetic form factors extracted from experimental data.

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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