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arXiv 2103.15609nucl-thnucl-ex
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从CLAS数据分析$^{2}$ H、$^{27}$ Al和$^{56}$ Fe的核费米动量

Nuclear Fermi Momenta of $^{2}$H, $^{27}$Al and $^{56}$Fe from an Analysis of CLAS data

Hui Liu, Na-Na Ma, Rong Wang

摘要:

核费米动量是多核子原子核的基本性质。然而,在实验中,迄今为止,只有少数几个核的核费米动量是用核靶上的准弹性电子散射测量的。特别是,我们仍然不知道实验上最轻的核子复合物--氘核的费米动量。本文用高斯分布和柯西分布来描述电子-核散射截面中的准弹性峰。截面比在$x_{\rm B}=1$附近的下降用核费米动量解释。通过对已发表的CLAS数据在准弹性散射的窄运动学区域进行最小二乘拟合,得到了$^{2}$ H、$^{27}$ Al和$^{56}$ Fe的核费米动量,分别为$116\pm 7$ MeV/c、$232\pm 27$ MeV/c和$244\pm 28$ MeV/c.将提取的核费米动量与基于费米气体模型的简单计算结果进行了比较,发现了两者的差异。

英文摘要:

Nuclear Fermi momentum is a basic property of a nucleus where many nucleons dwell. However, in experiments only the nuclear Fermi momenta of just a few nuclei are measured using quasielastic electron scattering on the nuclear targets so far. Particularly, we still do not know experimentally the Fermi momentum of the lightest nucleon composite -- the deuteron. In this paper, we apply both gaussian distribution and Cauchy distribution to describe the quasielastic peak in the cross section of electron-nucleus scattering. The dip of the cross-section ratio at about $x_{\rm B}=1$ is explained with the nuclear Fermi momentum. By performing the least-square fits to the published CLAS data in the narrow kinematic region of quasielastic scattering, we obtain the nuclear Fermi momenta of $^{2}$H, $^{27}$Al and $^{56}$Fe, which are $116\pm 7$ MeV/c, $232\pm 27$ MeV/c, and $244\pm 28$ MeV/c respectively. The extracted nuclear Fermi momenta are compared to the simple calculations based on Fermi gas model, and the consistencies are found.

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