The low-energy antineutrino- and neutrino–nucleon neutral current elastic scattering is studied within the framework of the relativistic SU(2) baryon chiral perturbation theory up to the order of \({\cal O}({p^{3}})\). We have derived the model-independent hadronic amplitudes and extracted the form factors from them. It is found that differential cross sections dσ/dQ² for the processes of (anti)neutrino–proton scattering are in good agreement with the existing MiniBooNE data in the Q² region [0.13, 0.20] GeV², where nuclear effects are expected to be negligible. For Q² ≤ 0.13 GeV², large deviation is observed, which is mainly owing to the sizeable Pauli blocking effect. Comparisons with the simulation data produced by the NuWro and GENIE Mento Carlo events generators are also discussed. The chiral results obtained in this work can be utilized as inputs in various nuclear models to achieve the goal of precise determination of the strangeness axial vector form factor, in particular when the low-energy MicroBooNE data are available in the near future.

在相对论 SU(2) 重子手性摄动理论框架内研究了低能反中微子和中微子核子中性流弹性散射，最高可达 \({\cal O}({p^{3}} ）\）。我们导出了与模型无关的强子振幅，并从中提取了形状因子。研究发现，（反）中微子-质子散射过程的微分截面 dσ/dQ ² 与 Q ² 区域中现有的 MiniBooNE 数据非常吻合 [0.13 , 0.20] GeV ² ，其中核效应预计可以忽略不计。当Q ² ≤ 0.13 GeV ² 时，观察到较大的偏差，这主要是由于较大的泡利阻挡效应。还讨论了与 NuWro 和 GENIE Mento Carlo 事件生成器生成的模拟数据的比较。这项工作中获得的手性结果可以用作各种核模型的输入，以实现精确确定奇异轴矢量形状因子的目标，特别是当低能 MicroBooNE 数据在不久的将来可用时。