arXiv 1811.094822018-11-23hep-phhep-exnucl-ex

轻子核散射中的光学势和去除能

Optical Potential and Removal Energies in Lepton Nucleus Scattering

Arie Bodek, Tejin Cai

备注：: 3 pages 3 Figures, Presented at the 20th International Workshop on Neutrinos (NuFact2018) 12-18 August 2018, Blacksburg, Virginia

摘要：

我们总结了arXiv：1801.07975 [nucl-th] \cite{FSIpaper}（将于2018年在EPJC上发表）中提出的一些结果，这些结果是关于在脉冲近似下模拟电子和中微子QE在各种原子核上的散射。我们发现，用这三个参数可以描述锂、碳+氧、铝、钙+氩、铁和铅+金的所有可用电子QE数据的末态轻子能量。第一个参数，去除能$ε^{P,N}$是从排他性ee $^{\prime}$ p谱函数数据中提取的。第二个参数$V_{eff}$，它占最终状态的轻子和质子与库仑势的核的相互作用，可从出版的比较包容QE电子和正电子截面。我们提取的第三个参数$U_{FSI}(\vec {q}_3^2)$，它占的最终状态核子与观众核（FSI）的光学势的相互作用，通过拟合所有可用的包容QE截面的核目标。这里$q_3$是三个动量的传递。有了这三个参数，我们可以为所有可用的电子QE散射数据的末态电子和核子的能量建模。目前，在中微子振荡参数$Δ{m}^2$的提取中，去除能参数值的不确定性是系统误差的最大来源。更新后的参数在中微子蒙特卡罗发生器的使用减少了系统的不确定性，在合并的去除能量（FSI修正）从$\pm$ 20兆电子伏到$\pm$ 5兆电子伏。在这个简短的贡献，我们只总结了碳+氧和钙+氩的结果

英文摘要：

We summarize some of the results presented in arXiv:1801.07975 [nucl-th]\cite{FSIpaper}(to be published in EPJC in 2018) on modeling electron and neutrino QE scattering on a variety of nuclei within the impulse approximation. We find that with three parameters we can describe the final state lepton energy for all of available electron QE data on Lithium, Carbon+Oxygen, Aluminum, Calcium+Argon, Iron and Lead+Gold. The first parameter, the removal energy $ε^{P,N}$ is extracted from exclusive ee$^{\prime}$p spectral function data. The second parameter $V_{eff}$, which accounts for the interaction of final state leptons and protons with the Coulomb potential of the nucleus, is available from published comparisons of inclusive QE electron and positron cross section. We extract the third parameter $U_{FSI}(\vec {q}_3^2)$, which accounts for the interaction of the final state nucleon with the optical potential of the spectator nucleus (FSI), by fitting all available inclusive QE cross sections on nuclear targets. Here $q_3$ is the three momentum transfer. With these three parameters we can model the energy of final state electrons and nucleons for all available electron QE scattering data. At present the uncertainty in the value of the removal energy parameters is a the largest source of systematic error in the extraction of the neutrino oscillation parameter $Δ{m}^2$. The use of the updated parameters in neutrino Monte Carlo generators reduces the systematic uncertainty in the combined removal energy (with FSI corrections) from $\pm$ 20 MeV to $\pm$ 5 MeV. In this short contribution we only summarize the results for Carbon+Oxygen and Calcium+Argon

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