The so-called proton-radius puzzle (the current discrepancy of proton radii determined from spectroscopic measurements in ordinary versus muonic hydrogen) could be addressed via an accurate measurement of the Rydberg constant because the proton radius and the Rydberg constant values are linked through high-precision optical spectroscopy. We argue that, with manageable additional experimental effort, it might be possible to improve circular Rydberg state spectroscopy, potentially leading to an important contribution to the clarification of the puzzle. Our proposal involves circular and near-circular Rydberg states of hydrogen with a principal quantum number around n = 18, whose classical velocity on a Bohr orbit is slower than that of the fastest macroscopic man-made object, the Parker Solar Probe. We obtain improved estimates for the quality factor of pertinent transitions and illustrate a few recent improvements in instrumentation which facilitate pertinent experiments. 
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                            Proton Radius: A Puzzle or a Solution!?
                        
                    
    
            Abstract The proton radius puzzle is known as the discrepancy of the proton radius, obtained from muonic hydrogen spectroscopy (obtained as being roughly equal to 0.84 fm), and the proton radius obtained from (ordinary) hydrogen spectroscopy where a number of measurements involving highly excited states have traditionally favored a value of about 0.88 fm. Recently, a number of measurements of hydrogen transitions by the Munich (Garching) groups (notably, several hyperfine-resolved sublevels of the 2 S –4 P ) and by the group at the University of Toronto (2 S –2 P 1/2 ) have led to transition frequency data consistent with the smaller proton radius of about 0.84 fm. A recent measurement of the 2 S –8 D transition by a group at Colorado State University leads to a proton radius of about 0.86 fm, in between the two aforementioned results. The current situation points to a possible, purely experimental, resolution of the proton radius puzzle. However, a closer look at the situation reveals that the situation may be somewhat less clear, raising the question of whether or not the proton radius puzzle has been conclusively solved, and opening up interesting experimental possiblities at TRIUMF/ARIEL. 
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                            - Award ID(s):
- 2110294
- PAR ID:
- 10414581
- Date Published:
- Journal Name:
- Journal of Physics: Conference Series
- Volume:
- 2391
- Issue:
- 1
- ISSN:
- 1742-6588
- Page Range / eLocation ID:
- 012017
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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