标题： 在相干密度涨落模型中，中微子和反中微子在 $^{12}$ CN 核上的内含散射 显示英文标题

标题： Inclusive Neutrino and Antineutrino Scattering on the $^{12}$C Nucleus Within the Coherent Density Fluctuation Model

摘要： 我们利用一个新的标度变量$\psi^*$研究了（反）中微子与$^{12}$C核的准弹性散射。该变量来源于包含标量和矢量相互作用的相对论费米气体模型，从而导致相互作用核子的有效相对论质量。对于核子的包容性轻子散射，基于相干密度涨落模型（CDFM），我们发展了一个新的标度函数，记为$f^\text{QE}(\psi^*)$。此模型作为相对论费米气体（RFG）模型的自然扩展，适用于有限核。在这项研究中，我们计算了理论预测值，并将其与来自 Miner$\nu$和 T2K 的包容性（反）中微子截面实验数据进行了比较。标度函数是在CDFM框架内推导出来的，采用相对论有效质量$m_N^*$= 0.8$m_N$。研究结果表明，在所有（反）中微子能量范围内，实验数据具有高度一致性。 显示英文摘要

摘要： We investigate quasielastic (anti)neutrino scattering on the $^{12}$C nucleus utilizing a novel scaling variable, $\psi^*$. This variable is derived from the interacting relativistic Fermi gas model, which incorporates both scalar and vector interactions, leading to a relativistic effective mass for the interacting nucleons. For inclusive lepton scattering from nuclei, we develop a new scaling function, denoted as $f^\text{QE}(\psi^*)$, based on the coherent density fluctuation model (CDFM). This model serves as a natural extension of the relativistic Fermi gas (RFG) model applicable to finite nuclei. In this study, we compute theoretical predictions and compare them with experimental data from Miner$\nu$a and T2K for inclusive (anti)neutrino cross-sections. The scaling function is derived within the CDFM framework, employing a relativistic effective mass of $m_N^*$ = 0.8 $m_N$. The findings demonstrate a high degree of consistency with experimental data across all (anti)neutrino energy ranges.