论文标题
相对论的丽思方法类似氢原子II：氢和氘的光谱分析
Relativistic Ritz approach to hydrogen-like atoms II: spectral analysis of hydrogen and deuterium
论文作者
论文摘要
最近引入了一种被称为相对论RITZ方法的氢原子的长途有效理论，并探讨了其理论后果。在本文中，使用信息理论分析的相对论RITZ方法用于拟合原子氢和氘过渡的现有测量。结果，可以同时确定氢气和氘的电离能，$ e_i^{\ text {（h）}} $和$ e_i^{\ text {（d）} $。最佳的氢分析产生$α^{ - 1} = 137.035 \，999 \，185（25）$，与其他方法获得的值吻合，而不依赖于单独确定的rydberg常数。从相同的分析中，我发现$ e_i^{\ text {（h）}} = 13.598 \，434 \，599 \，684（25）\，\ text {ev} $，与先前的确定和与标准模型相比，精确的两个确定级别的确切确定级别的确切级别。最佳氘分析产生$ e_i^{\ text {（d）}} = 13.602 \，134 \，636 \，543（31）\，\ text {ev {ev} $，同意标准模型为2.3零件。这项研究证明了如何使用相对论RITZ方法用类似氢原子的光谱测试标准模型。
A long-distance effective theory of hydrogen-like atoms, dubbed the relativistic Ritz approach was recently introduced and some its theoretical consequences were explored. In this article, the relativistic Ritz approach is used to fit extant measurements of atomic hydrogen and deuterium transitions using information-theoretic analyses. As a result, the fine-structure constant ($α$), a fundamental parameter of the Standard Model, may be determined simultaneously with the ionization energies of hydrogen and deuterium, $E_I^{\text{(H)}}$ and $E_I^{\text{(D)}}$. The best hydrogen analysis yields $α^{-1} = 137.035\,999\,185(25)$, in good agreement with the value obtained by other methods and without relying on a separately determined Rydberg constant. From the same analysis, I find that $E_I^{\text{(H)}} = 13.598\,434\,599\,684(25)\,\text{eV}$, an improvement of two orders of magnitude in precision compared to previous determinations and in agreement with the Standard Model prediction at 1.8 parts per trillion. The best deuterium analysis yields $E_I^{\text{(D)}} = 13.602\,134\,636\,543(31)\,\text{eV}$, agreeing with the Standard Model at 2.3 parts per trillion. This study demonstrates how the relativistic Ritz approach can be used for testing the Standard Model with the spectra of hydrogen-like atoms.
