物理观测量的光滑性
The Smoothness of Physical Observables
摘要：
Garvey-Kelson（GK）关系是在合理的物理假设下导出的连接相邻原子核质量的强有力的代数表达式。在这篇文章中，我们证明了这些关系比最初假设的更一般，因为它们的有效性是由基础核质量函数的光滑性而不是其他条件决定的。基于假设的基本物理函数的光滑性，本研究的主要结论是：（1）GK关系是模型无关的;（2）任何慢变的物理观测满足GK关系;（3）GK关系的精度可以系统地提高。从核物理（电荷半径）和粒子物理（重子质量）的例子被用来说明该方法的灵活性。
英文摘要：
The Garvey-Kelson (GK) relations are powerful algebraic expressions connecting the masses of neighboring atomic nuclei and derived under reasonable physical assumptions. In this contribution we show that these relations are even more general than originally assumed as their validity is conditioned by the smoothness of the underlying nuclear mass function and nothing else. Based on the assumed smoothness of the underlying physical function, the main conclusions from this study are: (1) the GK relations are model independent; (2) any slowly-varying physical observable satisfies the GK relations; and (3) the accuracy of the GK relations may be systematically improved. Examples from nuclear physics (charge radii) and from particle physics (baryon masses) are used to illustrate the flexibility of the approach.
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