Nuclear and Atomic Physics

   

The Spectra of Hydrogen and Deuterium Interpreted with an Alternative Fine Structure Constant Compared to the Codata Recommended Value

Authors: Hans Peter Good

A modified Dirac expression for the electron binding energy in hydrogen-like atoms is presented, which allows a direct and unambiguous comparison among different fine structure constants without bound-state QED theory. The least squares analysis of the parameters, describing the spectra of hydrogen and deuterium, is grounded on two sets of the most accurately measured energy separations. The optimal spectroscopic fine structure constant is found to be equal to 0.0072835(15), disagreeing with the determinations ultimately based on renormalized QED but being in good agreement with the number constant 2^(-6) π^(-2/3) ≈ 0.0072843. The present work compiles experimental values of the Lamb shift of S, P, and D states with n = 1, 2, and 3 derived from those measurements. Accurate predictions for hyperfine splitting intervals with n > 1 are given and compared to experimental values for n = 2.

Comments: 22 Pages. Correction in the calculation of nD state energies (software bug)

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Submission history

[v1] 2024-11-27 20:05:21
[v2] 2025-04-16 06:18:50
[v3] 2025-05-15 05:56:05
[v4] 2026-06-07 07:50:10

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