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arXiv 1004.4065nucl-th
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标度函数与核子动量分布

Scaling Function and Nucleon Momentum Distribution

J. A. Caballero, M. B. Barbaro, A. N. Antonov, M. V. Ivanov, T. W. Donnelly

备注：
29 pages, 9 figures. To be published in Phys. Rev. C
发表信息：
Phys.Rev.C81:055502,2010
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摘要：

在过去，包容性准弹性电子散射反应的标度研究被用作获得核中核子动量分布信息的基本工具。然而，从截面数据的分析中提取的标度函数与谱函数之间的联系仅在假设非常有限的近似值的情况下存在。我们重新审视标度研究中涉及的基本表达式，以及它们如何与核子动量分布联系起来。特别地，过去应用于所谓的缩放区域{ \it，即，}由于从分离的纵向数据的分析中提取了“通用的”超尺度函数，因此在这里将尺度变量$y$的负值扩展为正的$y$。这导致的结果，明显不同于那些只基于负$y$标度区域，提供新的信息，能量和动量是如何分布在光谱函数。

英文摘要：

Scaling studies of inclusive quasielastic electron scattering reactions have been used in the past as a basic tool to obtain information on the nucleon momentum distribution in nuclei. However, the connection between the scaling function, extracted from the analysis of cross section data, and the spectral function only exists assuming very restricted approximations. We revisit the basic expressions involved in scaling studies and how they can be linked to the nucleon momentum distribution. In particular, the analysis applied in the past to the so-called scaling region, {\it i.e.,} negative values of the scaling variable $y$, is extended here to positive $y$, since a "universal" superscaling function has been extracted from the analysis of the separated longitudinal data. This leads to results that clearly differ from the ones based solely on the negative-$y$ scaling region, providing new information on how the energy and momentum are distributed in the spectral function.

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