论文标题

核子轴向电流的形式因子

Form Factors of the Nucleon Axial Current

论文作者

Chen, Chen, Fischer, Christian S., Roberts, Craig D., Segovia, Jorge

论文摘要

核子的夸张夸克+diquark方程处理核子的poincaré-covariant quark+diquark faddeev方程处理分别为核子的轴向和诱导的伪内型形式,$ g_a $和$ g_p $提供无参数的预测。 $ g_a $的结果可以可靠地用偶极子颜色为特征,其特征在于轴向电荷$ g_a = g_a(0)= 1.25(3)$和质量尺度$ m_a = 1.23(3)m_n $,其中$ m_n $是nucleon sucleon smos;关于$ g_p $,诱导的伪凯尔级费用$ g_p^\ ast = 8.80(23)$,比率$ g_p^\ ast/g_a = 7.04(22)$,并且发现了Pole Pole Dridemance Ansatz ANSATZ可提供可靠的直接计算结果的估计。还计算出夸张的夸克轴向电荷的比率:$ g_a^d/g_a^u = -0.16(2)$。该值表达了相对于非贵族夸克模型中$ d $ quark组件的大小的明显抑制,这归因于核子faddeev波函数(标量和轴向矢量)中存在强的diquark相关性,并且标量diquark均具有主导。 $ g_a $的预测形式应为与现代加速器中微子实验相关的中微子核和抗肿瘤核心横截面的分析提供合理的基础。

A symmetry-preserving Poincaré-covariant quark+diquark Faddeev equation treatment of the nucleon is used to deliver parameter-free predictions for the nucleon's axial and induced pseudoscalar form factors, $G_A$ and $G_P$, respectively. The result for $G_A$ can reliably be represented by a dipole form factor characterised by an axial charge $g_A=G_A(0)=1.25(3)$ and a mass-scale $M_A = 1.23(3) m_N$, where $m_N$ is the nucleon mass; and regarding $G_P$, the induced pseudoscalar charge $g_p^\ast = 8.80(23)$, the ratio $g_p^\ast/g_A = 7.04(22)$, and the pion pole dominance Ansatz is found to provide a reliable estimate of the directly computed result. The ratio of flavour-separated quark axial charges is also calculated: $g_A^d/g_A^u=-0.16(2)$. This value expresses a marked suppression of the size of the $d$-quark component relative to that found in nonrelativistic quark models and owes to the presence of strong diquark correlations in the nucleon Faddeev wave function -- both scalar and axial-vector, with the scalar diquark being dominant. The predicted form for $G_A$ should provide a sound foundation for analyses of the neutrino-nucleus and antineutrino-nucleus cross-sections that are relevant to modern accelerator neutrino experiments.

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