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arXiv 0804.2750nucl-th
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中能核的中子诱导π介子产生

Neutrino-induced pion production from nuclei at medium energies

C. Praet, O. Lalakulich, N. Jachowicz, J. Ryckebusch

备注：
25 pages, 14 figures
发表信息：
Phys.Rev.C79:044603,2009
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摘要：

我们提出了一个完全相对论性的形式描述中微子诱导的$Δ$介导的单π产生的核。我们评估了源自$Δ$相互作用的模糊性。观察到超过10%的截面的变化，这取决于是否假设磁偶极子占主导地位来提取矢量形状因子。这些不确定性直接影响轴向矢量形状因子的提取精度。对$C_5^A(Q^2)$的不同预测诱导对$Δ$产生截面的高达40-50%的影响。为了描述原子核，我们转向相对论性平面波脉冲近似（RPWIA），使用在$σ$ - $ω$ Walecka模型的Hartree近似中导出的实际束缚态波函数。对于中微子能量大于1 GeV，我们表明，一个相对论费米气体模型与适当的结合能校正产生的RPWIA，其中自然包括费米运动，核结合效应和泡利不相容原理的可比结果。包括$Δ$培养基改良可使RPWIA横截面减少20 - 25%。在这项工作中提出的模型可以自然地扩展到包括在相对论和量子力学的方式的末态相互作用的效果。最近的中微子振荡实验，如MiniBooNE和K2 K，和未来的努力，如MINER $ν$ A的指导下，我们提出了$Q^2$，$W$，和各种半包容性的分布，无论是自由核子和碳，氧和铁的目标。

英文摘要：

We present a fully relativistic formalism for describing neutrino-induced $Δ$-mediated single-pion production from nuclei. We assess the ambiguities stemming from the $Δ$ interactions. Variations in the cross sections of over 10% are observed, depending on whether or not magnetic-dipole dominance is assumed to extract the vector form factors. These uncertainties have a direct impact on the accuracy with which the axial-vector form factors can be extracted. Different predictions for $C_5^A(Q^2)$ induce up to 40-50% effects on the $Δ$-production cross sections. To describe the nucleus, we turn to a relativistic plane-wave impulse approximation (RPWIA) using realistic bound-state wave functions derived in the Hartree approximation to the $σ$-$ω$ Walecka model. For neutrino energies larger than 1 GeV, we show that a relativistic Fermi-gas model with appropriate binding-energy correction produces comparable results as the RPWIA which naturally includes Fermi motion, nuclear-binding effects and the Pauli exclusion principle. Including $Δ$ medium modifications yields a 20 to 25% reduction of the RPWIA cross section. The model presented in this work can be naturally extended to include the effect of final-state interactions in a relativistic and quantum-mechanical way. Guided by recent neutrino-oscillation experiments, such as MiniBooNE and K2K, and future efforts like MINER$ν$A, we present $Q^2$, $W$, and various semi-inclusive distributions, both for a free nucleon and carbon, oxygen and iron targets.

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