Differential cross sections for elastic $p\text{−}{}^6\mathrm{He}$ and $p\text{−}{}^8\mathrm{He}$ scattering, measured in inverse kinematics at high momentum transfer up to the first diffraction minimum and at projectile energies around 700 MeV/u at GSI Darmstadt, are analyzed applying the sum-of-Gaussians (SOG) method based on the Glauber multiple-scattering theory. The rms point matter radii of ${}^6\mathrm{He}$ and ${}^8\mathrm{He}$ are deduced to be 2.29(6) fm and 2.53(7) fm, respectively, in close agreement with those from former analyses using phenomenological parametrizations for describing the matter distributions. With the aid of the measurement at high momentum transfer, the overall radial density distributions of ${}^6\mathrm{He}$ and ${}^8\mathrm{He}$ are precisely deduced using the SOG method, in particular at small radii. A pronounced core rearrangement by adding the valence neutrons to an $\alpha$-like core to form ${}^6\mathrm{He}$ and ${}^8\mathrm{He}$ is elucidated, and briefly discussed.

中文翻译：

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来自中间能量弹性质子散射数据的高斯总和分析的富含中子 He6,8 同位素的核物质密度分布

弹性差截面 $磷\text{-}{}^6他$ 和 $磷\text{-}{}^8他$在 GSI 达姆施塔特，在高动量转移至第一个衍射最小值和大约 700 MeV/u 的弹丸能量下，在逆运动学中测量的散射应用基于格劳伯多次散射理论的高斯总和 (SOG) 方法进行分析. 均方根点物质半径为${}^6他$ 和 ${}^8他$分别推导出为 2.29(6) fm 和 2.53(7) fm，与之前使用现象学参数化描述物质分布的分析非常一致。借助高动量传递的测量，总的径向密度分布为${}^6他$ 和 ${}^8他$使用 SOG 方法精确推导出，特别是在小半径处。通过将价中子添加到一个显着的核心重排$\alpha$状核形成 ${}^6他$ 和 ${}^8他$ 阐明，并简要讨论。