论文标题
确切的总和规则近似地面状态
Exact sum rules with approximate ground states
论文作者
论文摘要
电磁和弱的过渡向我们讲述了原子核的结构。然而，建模过渡可能很困难：通常比激发状态更容易计算基态，即使仅作为近似状态更容易。一种替代方法是通过过渡总和规则，尤其是非能量加权和能量加权总和规则，可以将其计算为运算符的期望值。我们通过计算各种核的总和规则进行调查，将数值精确的完整配置互动壳模型（参考）与Hartree-Fock，投影Hartree-Fock和Nucleon Pair近似。这些近似值产生了合理的一致性，我们通过先前的工作解释了过渡矩的系统学。
Electromagnetic and weak transitions tell us a great deal about the structure of atomic nuclei. Yet modeling transitions can be difficult: it is often easier to compute the ground state, if only as an approximation, than excited states. One alternative is through transition sum rules, in particular the non-energy-weighted and energy-weighted sum rules, which can be computed as expectation values of operators. We investigate by computing sum rules for a variety of nuclei, comparing the numerically exact full configuration-interaction shell model, as a reference, to Hartree-Fock, projected Hartree-Fock, and the nucleon pair approximation. These approximations yield reasonable agreement, which we explain by prior work on the systematics of transition moments.
