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arXiv 0912.4356nucl-th
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准弹性电子-核散射中库仑和规则的超标度分析

Superscaling analysis of the Coulomb Sum Rule in quasielastic electron-nucleus scattering

J. A. Caballero, M. C. Martinez, J. L. Herraiz, J. M. Udias

摘要:

基于标度和超标度性质,分析了电子在$^{12}$ C,$^{40}$ Ca和$^{56}$ Fe中的准弹性散射库仑和规则.在相对论脉冲近似与各种描述的最终状态相互作用的结果显示。在贝茨和萨克雷测量的实验数据的比较。强标量和矢量项的理论描述的基础上存在的相对论平均场,这已被证明重现实验的非对称超标度函数,导致的结果是在公平的协议与贝茨数据,而它大大高估了萨克雷数据。我们发现,库仑求和规则的动量转移$q\geq 500$ $MeV/c$饱和到一个值接近0.9,被认为是非常相似的三个核系统。这与Bates数据一致,表明这些在纵向响应中没有显示出显著的淬灭。

英文摘要:

The Coulomb sum rule for inclusive quasielastic electron scattering in $^{12}$C, $^{40}$Ca and $^{56}$Fe is analyzed based on scaling and superscaling properties. Results obtained in the relativistic impulse approximation with various descriptions of the final state interactions are shown. A comparison with experimental data measured at Bates and Saclay is provided. The theoretical description based on strong scalar and vector terms present in the relativistic mean field, which has been shown to reproduce the experimental asymmetric superscaling function, leads to results that are in fair agreement with Bates data while it sizeably overestimates Saclay data. We find that the Coulomb sum rule for a momentum transfer $q\geq 500$ $MeV/c$ saturates to a value close to 0.9, being very similar for the three nuclear systems considered. This is in accordance with Bates data, which indicates that these show no significative quenching in the longitudinal response.

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