标题： U(1) Goldberger-Treiman 关系及其与质子自旋的联系 显示英文标题

标题： U(1) Goldberger-Treiman Relation and Its Connection to the Proton Spin

摘要： U(1) Goldberger-Treiman (GT) 关系对于轴电荷$g_A^0$被重新审视。 强调了以$\eta_0$表示的单态 GT 关系无论夸克质量如何以及是否存在轴异常都成立。 我们指出，在质子中将$\eta_0-N$和$\dk-N$耦合项分别与夸克和胶子自旋分量相联系是可能的，但仅在手征不变的因子化方案中有效。 一般来说，两组分的 U(1) GT 关系可以以规范不变的方式与连接和不连接插入项相对应。 观察到$(\sqrt{3}f_\pi /2m_N)\getao$与连接插入有关，即质子自旋的总价夸克贡献，使我们能够从$g_A^0$和$g_A^8$的 GT 关系中确定物理耦合常数$\getap$和$\geta$。 我们找到了$\getap=3.4$和$\geta=4.7\,$。 显示英文摘要

摘要： The U(1) Goldberger-Treiman (GT) relation for the axial charge $g_A^0$ is reexamined. It is stressed that the isosinglet GT relation in terms of the $\eta_0$ holds irrespective of the quark masses and the axial anomaly. We pointed out that the identification of the $\eta_0-N$ and $\dk-N$coupling terms with the quark and gluon spin components respectively in a proton is possible but valid only in the chiral-invariant factorization scheme. In general, the two-component U(1) GT relation can be identified in a gauge-invariant way with connected and disconnected insertions. The observation that $(\sqrt{3}f_\pi /2m_N)\getao$ is related to the connected insertion i.e., the total valence quark contribution to the proton spin enables us to determine the physical coupling constants $\getap$ and $\geta$ from the GT relations for $g_A^0$ and $g_A^8$. We found $\getap=3.4$ and $\geta=4.7\,$.