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arXiv 2402.09301hep-phnucl-th
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探索中微子散射中的半单举双核子发射:一种因子化近似方法

Exploring semi-inclusive two-nucleon emission in neutrino scattering: a factorized approximation approach

V. L. Martinez-Consentino, J. E. Amaro

AI总结:

本文提出一种因子化近似方法,利用相对论平均场模型和介子交换流计算中微子诱导的双核子发射半单举截面,并通过与非因子化计算及多种模型比较验证其有效性。

摘要:

利用核物质的相对论平均场模型和介子交换流动力学,计算了中微子和反中微子诱导的双核子发射的半单举截面。在该模型中,我们探索了一种基于积分双空穴谱函数与对空穴对平均后的双核子截面乘积的因子化近似。我们证明,无关联费米气体的积分谱函数可以被解析计算,并推导出该函数的一个简单的完全相对论公式,展示其仅依赖于丢失动量和丢失能量。针对因子化双核子截面中两个空穴的平均动量,我们给出了一种规定,假设这些动量在质心系中垂直于丢失动量。通过与非因子化计算的比较,评估了因子化方法的有效性。我们的研究包括对其中一个发射核子能量积分后的半单举截面的研究,以及对两个核子发射角和出射μ子运动学积分后的截面的研究。与纯相空间模型和文献中的其他模型进行了比较。该分析结果为了解半单举强子张量对截面的影响提供了有价值的见解,从而更深入地理解潜在的核过程。

英文摘要:

The semi-inclusive cross section of two-nucleon emission induced by neutrinos and antineutrinos is computed employing the relativistic mean field model of nuclear matter and the dynamics of meson exchange currents. Within this model we explore a factorization approximation based on the product of an integrated two-hole spectral function and a two-nucleon cross section averaged over hole pairs. We demonstrate that the integrated spectral function of the uncorrelated Fermi gas can be analytically computed, and we derive a simple fully relativistic formula for this function, showcasing its dependency solely on both missing momentum and missing energy. A prescription for the average momenta of the two holes in the factorized two-nucleon cross section is provided, assuming that these momenta are perpendicular to the missing momentum in the center-of-mass system. The validity of the factorized approach is assessed by comparing it with the unfactorized calculation. Our investigation includes the study of the semi-inclusive cross section integrated over the energy of one of the emitted nucleons and the cross section integrated over the emission angles of the two nucleons and the outgoing muon kinematics. A comparison is made with the pure phase-space model and other models from the literature. The results of this analysis offer valuable insights into the influence of the semi-inclusive hadronic tensor on the cross section, providing a deeper understanding of the underlying nuclear processes.

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