论文标题
隐藏的自旋旋转交换对称性
Hidden spin-isospin exchange symmetry
论文作者
论文摘要
核子之间的强相互作用具有近似的自旋交换对称性，该交换对称性来自量子染色体动力学的特性，其极限为$ n_c $。但是，这种大的$ n_c $对称性是隐藏的，并且只有在固有的旋转方向上平均才能揭示自己。此外，除非动量分辨率刻度接近最佳刻度，否则对称性被遮盖了，我们称之为$λ_{{\ rm groun-} n_c} $。我们表明，大$ n_c $派生需要$λ_{{\ rm grom-} n_c} \ sim 500 $ mev的动量分辨率刻度。我们得出了一组自旋 - 呈旋转交换总和规则，并讨论了对$^{30} $ p光谱的含义，并应用于核力量，核结构计算和三核电相互作用。
The strong interactions among nucleons have an approximate spin-isospin exchange symmetry that arises from the properties of quantum chromodynamics in the limit of many colors, $N_c$. However this large-$N_c$ symmetry is well hidden and reveals itself only when averaging over intrinsic spin orientations. Furthermore, the symmetry is obscured unless the momentum resolution scale is close to an optimal scale that we call $Λ_{{\rm large-}N_c}$. We show that the large-$N_c$ derivation requires a momentum resolution scale of $Λ_{{\rm large-}N_c} \sim 500$ MeV. We derive a set of spin-isospin exchange sum rules and discuss implications for the spectrum of $^{30}$P and applications to nuclear forces, nuclear structure calculations, and three-nucleon interactions.
