标题： 限制Gamow-Teller跃迁速率的理论校正 显示英文标题

标题： Constraining theoretical Corrections to Gamow-Teller Transition Rates

摘要： 我们提出了两种用于理论上修正 Gamow-Teller 跃迁率的新约束条件。第一种基于一个两能级模型，预测了由同位旋混合校正项 $\delta_{C1}$ 和上、下混杂态之间的同位旋对称 Gamow-Teller 矩阵元比值 $\eta$ 定义的平面内的禁戒区域。它作为理论计算的一种筛选工具，在 $|\eta|$ 值较小时尤其有效。另一种利用实验上的 $ft$ 值，考虑上混杂态，并通过镜像对称性消除同位旋不变且与核结构无关的量。这种方法不仅提供了一种集体检验理论修正的替代手段，而且作为一种副产品，能够提取出 $\eta^2$。这为核哈密顿量的同位旋守恒组分提供了另一个敏感的测试方法。我们的研究表明，在这些测试中辐射修正贡献之间存在显著抵消现象。 显示英文摘要

摘要： We propose two novel constraints for the theoretical corrections to Gamow-Teller transition rates. The first, derived from a two-level model, predicts forbidden regions within the plane defined by the isospin-mixing correction, $\delta_{C1}$, and the ratio, $\eta$, of the isospin-symmetry Gamow-Teller matrix elements between the upper and lower admixed states. It serves as a filter for the theoretical calculations, particularly effective for small values of $|\eta|$. The other employs experimental $ft$ values, incorporating the upper admixed states, and exploits mirror symmetry to eliminate isospin-invariant and nuclear structure-independent quantities. This approach not only offers an alternative mean for collectively testing theoretical corrections but also, as a byproduct, enables the extraction of $\eta^2$. This provides another sensitive test for the isospin-conserving component of nuclear Hamiltonian. Our investigation reveals a substantial cancellation of among radiative correction contributions in these tests.