核电荷半径的Garvey-Kelson关系
Garvey-Kelson Relations for Nuclear Charge Radii
摘要：
Garvey-Kelson关系式（GKRs）是一种代数表达式，最初用于预测核质量。在这封信中，我们表明，GKRs提供了一个富有成效的框架，预测其他物理观测值，也显示出缓慢变化的动态。基于这一概念，我们将GKR推广到核电荷半径的研究。GKR在大约800个核中的455个上进行了测试，这些核的电荷半径是实验已知的。我们发现GK的预测和实验值之间的均方根偏差只有0.01调频。这应该与一些最成功的微观模型形成对比，这些模型产生的均方根偏差几乎是其三倍。预测-与可靠的不确定性-提供了116个核的电荷半径是目前未知的。
英文摘要：
The Garvey-Kelson relations (GKRs) are algebraic expressions originally developed to predict nuclear masses. In this letter we show that the GKRs provide a fruitful framework for the prediction of other physical observables that also display a slowly-varying dynamics. Based on this concept, we extend the GKRs to the study of nuclear charge radii. The GKRs are tested on 455 out of the approximately 800 nuclei whose charge radius is experimentally known. We find a rms deviation between the GK predictions and the experimental values of only 0.01 fm. This should be contrasted against some of the most successful microscopic models that yield rms deviations almost three times as large. Predictions - with reliable uncertainties - are provided for 116 nuclei whose charge radius is presently unknown.
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