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arXiv 0903.3170nucl-th
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相干密度涨落模型中的纵向和横向标度函数

Longitudinal and Transverse Scaling Functions within the Coherent Density Fluctuation Model

A. N. Antonov, M. V. Ivanov, M. B. Barbaro, J. A. Caballero, E. Moya de Guerra

摘要:

我们扩展我们以前的描述中包含的电子散射的相干密度涨落模型(CDFM)的超标度现象。该模型是相对论费米气体模型(RFG)引入标度变量$ψ^{\prime}$到有限核的自然推广。在这项工作中,我们提出了一个新的修改CDFM方法来计算总的,纵向和横向的标度函数建立在强子张量和纵向和横向的响应函数的RFG。我们通过计算电子散射截面(在不同能量和角度下具有$12\leq A\leq208$的原子核的QE-和$Δ$ -区域)并与现有的实验数据进行比较来测试新的CDFM标度函数的超标度行为。将新的修正CDFM方法推广到计算入射能量为1 GeV的电荷变化中微子和反中微子在$^{12}$ C上的散射.

英文摘要:

We extend our previous description of the superscaling phenomenon in inclusive electron scattering within the Coherent Density Fluctuation Model (CDFM). This model is a natural extension to finite nuclei of the Relativistic Fermi Gas Model (RFG) within which the scaling variable $ψ^{\prime}$ was introduced. In this work we propose a new modified CDFM approach to calculate the total, longitudinal and transverse scaling functions built up from the hadronic tensor and the longitudinal and transverse response functions in the RFG. We test the superscaling behavior of the new CDFM scaling functions by calculating the cross sections of electron scattering (in QE- and $Δ$-region for nuclei with $12\leq A\leq208$ at different energies and angles) and comparing to available experimental data. The new modified CDFM approach is extended to calculate charge-changing neutrino and antineutrino scattering on $^{12}$C at 1 GeV incident energy.

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