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arXiv 2407.06407nucl-thhep-ph
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统一电弱理论中轻核的电子散射截面

Electron scattering cross section for light nuclei within the unified electroweak theory

Vo Minh Truong, Nguyen Quang Hung

AI总结:

基于统一电弱理论的多极展开,开发了轻核电子散射截面的完整计算方法,发现传统脉冲近似的适用条件,并通过调整谐振子参数与V-A结构合理解释了MeV能区实验数据,为高能下研究核结构与弱相互作用提供了新视角。

摘要:

我们采用统一电弱理论内的多极展开,开发了一种计算轻核电子散射截面的完整方法。针对6,7Li和7Be核的具体计算表明,传统脉冲近似仅在入射电子能量不超过核子质量两倍时才适用于电子-核散射。此外,7Li从基态至最近激发态激发的准弹性散射截面与基态弹性散射截面被独立处理,而实验中尚未对它们进行单独测量。通过适当调整谐振子参数并结合V-A结构,所得散射截面能合理地解释MeV能区的现有实验数据,并提供GeV能区的预测信息。考虑到核子而非夸克,这为通过高能(GeV)下的电子或轻子散射研究核结构与弱相互作用提供了新视角。

英文摘要:

We employ the multipole expansion within the unified electroweak theory to develop a complete calculation method of the electron scattering cross section for light nuclei. The specific calculations for 6,7Li and 7Be nuclei indicate that the conventional impulse approximation can be applied to the electron-nucleus scattering only when the incident electron energy does not exceed twice the nucleon mass. In addition, the quasi-elastic scattering cross section of 7Li in the excitation from its ground state to the nearest excited state and that of elastic scattering in the ground state are independently treated, whereas they have not been separately measured in experiments. The obtained scattering cross sections corresponding to an appropriate adjustment of the harmonic oscillator parameter along with the V-A structure interpret reasonably well the available experimental data at MeV energies and provide predictive information at GeV energies. This gives new perspectives in studying the structure of nuclei and the weak interactions via electron or lepton scattering at high (GeV) energies, considering nuclei rather than quarks.

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