论文标题
双重国王关系
The dual King relation
论文作者
论文摘要
我们在原子光谱的同位素移位中引入了一种新的线性关系。尽管著名的国王关系是不同过渡的线性关系，但新的关系是不同同位素对之间的线性关系。由于我们通过交换电子和原始关系中的核因素的作用来获得这种关系，因此我们将其称为双重国王关系。当我们测量许多过渡的同位素变化时，这种关系向我们显示了与原始国王关系相似的信息，而不包括新的拟合参数。在双重关系中，拟合系数由核因子组成。然后，拟合结果使我们对与电子波函数无关的同位素依赖性比率有限制。这有助于我们测试未知的高阶同位素变化的起源。我们表明，双重国王的关系也可以用来限制与原始国王关系相同水平的弱相互作用的新玻色子。
We introduce a new linear relation in the isotope shifts of atomic spectroscopy. While the famous King relation is the linear relation among the different transitions, the new one is the linear relation among the different isotope pairs. Since we obtain this relation by exchanging the roles of the electronic and the nuclear factors in the original relation, we call it the dual King relation. This relation shows us similar information to the original King relation without including new fit parameters when we measure the isotope shifts of many transitions. In the dual King relation, the fit coefficients consist of the nuclear factors. Then, the fit results give us constraints to the ratios of the isotope dependence independent of the electron wave functions. This helps us to test the origin of unknown higher order isotope shifts. We show that the dual King relation can also be employed to constrain the weakly interacting light new boson at the same level as the original King relation.
