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arXiv 2410.09730hep-phphysics.atom-ph
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光自旋为0粒子介导的两个自旋1/2费米子之间自旋和动量相关相互作用势的深入研究

In-depth Study of Spin- and Momentum-Dependent Interaction Potentials Between Two Spin-1/2 Fermions Mediated by Light Spin-0 Particles

Yang Zhong, Zhi-Hui Guo, Hai-Qing Zhou

AI总结:

本文基于四点格林函数计算了轻自旋0粒子介导的两个自旋1/2费米子相互作用势的相对论和离壳修正,引入替代算符基简化坐标空间推导,并计算了可用于宏观和原子尺度实验分析的长程与短程势分量。

摘要:

我们提出了一项计算,包含了在动量空间和坐标空间中,由交换轻自旋0粒子介导的两个自旋1/2费米子之间相互作用势的相对论和离壳贡献。我们的计算基于四点格林函数而非散射振幅。在十六个势分量中,有八个在非相对论极限下消失的分量被证明获得了非零的相对论和离壳修正。除了提供文献中常用算符基的相对论和离壳修正外,我们还引入了一种替代算符基,便于推导坐标空间中的相互作用势。此外,我们计算了势的长程和短程分量,这可能对未来的宏观和原子尺度实验分析有用。

英文摘要:

We present a calculation by including the relativistic and off-shell contributions to the interaction potentials between two spin-1/2 fermions mediated by the exchange of light spin-0 particles, in both momentum and coordinate spaces. Our calculation is based on the four-point Green function rather than the scattering amplitude. Among the sixteen potential components, eight that vanish in the non-relativistic limit are shown to acquire nonzero relativistic and off-shell corrections. In addition to providing relativistic and off-shell corrections to the operator basis commonly used in the literature, we introduce an alternative operator basis that facilitates the derivation of interaction potentials in coordinate space. Furthermore, we calculate both the long-range and short-range components of the potentials, which can be useful for future experimental analyses at both macroscopic and atomic scales.

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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