arXiv 2009.003502020-09-01nucl-th

从实验标度函数提取核子动量分布

Nucleon momentum distribution extracted from the experimental scaling function

M. V. Ivanov, A. N. Antonov, J. A. Caballero

备注：: 26 pages, 16 figures, accepted for publication in Nuclear Physics, Section A

摘要：

直接从电子散射数据分析中提取的标度函数与核谱函数或核动量密度之间的联系进行了深入研究。考虑了散射过程中标度函数对两个独立变量的依赖性，即转移动量（$q$）和标度变量（$y$），并将分析扩展到正和负$y$值，即，分别在准弹性峰中心的下方和上方。尺度函数的衍生物的分析表达式，评价在有限的极限积分处理的运动学允许的区域，连接与光谱函数。这里，包括对应于零和有限激发能的贡献。标度函数由Gumbel密度分布描述，而短程相关通过使用一些简单的模型被纳入到谱函数中。也被认为是不同的参数化的核子动量分布，这是兼容的标度函数的一般性质。

英文摘要：

The connection between the scaling function, directly extracted from the analysis of electron scattering data, and the nuclear spectral function or nuclear momentum density is investigated at depth. The dependence of the scaling function on the two independent variables in the scattering process, the transfer momentum ($q$) and the scaling variable ($y$), is taken into account, and the analysis is extended to both, positive and negative $y$-values, i.e., below and above the center of the quasielastic peak, respectively. Analytical expressions for the derivatives of the scaling function, evaluated at the finite limits of integration dealing with the kinematically allowed region, are connected with the spectral function. Here, contributions corresponding to zero and finite excitation energies are included. The scaling function is described by the Gumbel density distribution, whereas short-range correlations are incorporated in the spectral function by using some simple models. Also different parametrizations for the nucleon momentum distribution, that are compatible with the general properties of the scaling function, have been considered.

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摘要：

英文摘要：

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