We have measured the differential cross-sections and analyzing powers for (⁠|$p,2p$|⁠) reactions at an incident energy of 392 MeV on |$^{12}$|C, |$^{16}$|O, |$^{40}$|Ca, and |$^{208}$|Pb nuclei, leading to discrete states of the residual nuclei. The data are compared with two kinds of distorted-wave impulse approximation (DWIA) calculations, a standard calculation using a global optical potential and a calculation using wave functions generated in a relativistic Hartree model. The spectroscopic factors deduced from these two calculations agree with those determined in (⁠|$e,e'p$|⁠) studies mostly within 15% in the case of the lighter three target nuclei. However, those for the |$^{208}$|Pb target are overestimated compared with the (⁠|$e,e'p$|⁠) results. In the heavy target case, the DWIA results are very sensitive to the radius parameter of the bound-state potential and thus a careful treatment is required. Regarding the analyzing powers of the present measurement, we confirmed that the |$j$|-dependence is sufficient for practical spectroscopic use.

中文翻译：

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在¹² C，¹⁶ O，⁴⁰ Ca和²⁰⁸ Pb原子核上以392 MeV进行（p，2 p）反应导致低位残留核的实验研究

我们已经测量了微分横截面，并分析了在$$ {{12} $ |上的入射能量为392 MeV时（⁠| $ p，2p $ |⁠）反应的功效。C，| $ ^ {16} $ | O，| $ ^ {40} $ | Ca，以及| $ ^ {208} $ | 铅核，导致残留核的离散状态。将该数据与两种失真波脉冲近似（DWIA）计算进行了比较，一种是使用全局光势的标准计算，另一种是使用相对论Hartree模型中生成的波函数的计算。从这两个计算得出的光谱因子与（⁠| $ e，e'p $ |⁠）研究中确定的光谱因子相吻合，对于较轻的三个目标原子核而言，大多数在15％以内。但是，那些| $ ^ {208} $ | 与（⁠| $ e，e'p $ |⁠）结果相比，铅的目标被高估了。在目标较重的情况下，DWIA结果对束缚态电势的半径参数非常敏感，因此需要仔细处理。关于当前度量的分析能力，我们确认了| $ j $ |。-依赖性对于实际的光谱使用是足够的。