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arXiv 1506.03403hep-phhep-exnucl-th
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共振区中微子诱导介子产生的动力学耦合通道模型

Dynamical coupled-channels model for neutrino-induced meson productions in resonance region

S. X. Nakamura, H. Kamano, T. Sato

摘要:

建立了一个中微子-核子共振反应的动力学耦合通道模型。从DCC模型,我们已经开发了通过分析$W\le 2.1$ GeV的$πN, γN\to πN, ηN, KΛ, KΣ$反应数据,我们扩展到$Q^2\le$ 3.0(GeV/ $c$)$^2$的矢量电流模型,通过分析质子和中子靶的电子诱导反应数据。通过部分守恒轴向电流(PCAC)关系,我们推导出与DCC模型的$πN$相互作用相关的轴向电流矩阵元。因此,共振和非共振振幅之间的干涉图案是唯一确定的。我们计算了中微子诱导介子产生的截面,并与已有数据进行了比较。我们对单π介子产生的结果与实验数据基本一致。我们还与双π介子产生数据作了比较。我们的模型是第一个给出共振区双π产生截面的DCC模型。我们还将我们的结果与其他现有的模型进行了比较,以揭示根据PCAC和电子反应数据测试模型的重要性。DCC模型的建立将为中微子-核反应模型的建立和中微子事件发生器的建立提供有用的输入。

英文摘要:

A dynamical coupled-channels (DCC) model for neutrino-nucleon reactions in the resonance region is developed. Starting from the DCC model that we have previously developed through an analysis of $πN, γN\to πN, ηN, KΛ, KΣ$ reaction data for $W\le 2.1$ GeV, we extend the model of the vector current to $Q^2\le$ 3.0 (GeV/$c$)$^2$ by analyzing electron-induced reaction data for both proton and neutron targets. We derive axial-current matrix elements that are related to the $πN$ interactions of the DCC model through the Partially Conserved Axial Current (PCAC) relation. Consequently, the interference pattern between resonant and non-resonant amplitudes is uniquely determined. We calculate cross sections for neutrino-induced meson productions, and compare them with available data. Our result for the single-pion production reasonably agrees with the data. We also make a comparison with the double-pion production data. Our model is the first DCC model that can give the double-pion production cross sections in the resonance region. We also make comparison of our result with other existing models to reveal an importance of testing the models in the light of PCAC and electron reaction data. The DCC model developed here will be a useful input for constructing a neutrino-nucleus reaction model and a neutrino event generator for analyses of neutrino experiments.

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