Proton charge radius calculation

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SUMMARY

The proton charge radius has been calculated through experiments involving muonic hydrogen, specifically measuring the transition frequency at 49881.88(76) GHz, which corresponds to an energy of 206.2949(32) meV. This measurement reveals a significant disagreement with predictions based on the proton radius derived from hydrogen spectroscopy and electron-proton scattering experiments. The discrepancy is attributed to the muon's mass, which is 200 times that of the electron, resulting in a Bohr radius that is 200 times smaller, making the energy levels of muonic hydrogen more sensitive to the proton's charge radius. The implications of this finding remain unclear and warrant further investigation.

PREREQUISITES
  • Understanding of muonic hydrogen and its properties
  • Familiarity with transition frequency measurements in quantum physics
  • Knowledge of proton radius determination methods, including spectroscopy and scattering experiments
  • Basic grasp of quantum mechanics and atomic structure
NEXT STEPS
  • Research the implications of muonic hydrogen measurements on proton charge radius calculations
  • Study the differences between muonic and electronic hydrogen atoms
  • Explore the latest revisions and findings in the referenced arXiv paper (arxiv.org/abs/1010.3421)
  • Investigate other experimental methods for measuring the proton charge radius
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Physicists, researchers in quantum mechanics, and students studying atomic structure who are interested in the nuances of proton charge radius measurements and their implications in particle physics.

edguy99
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In this link the proton charge radius is calculated based on an experiment involving a muon and a proton http://www.sps.ch/en/artikel/progresses/muonic_hydrogen_and_the_proton_radius_puzzle_20/

It talks about "In summary, we have measured the muonic hydrogen transition at a frequency of 49881.88(76) GHz which corresponds to an energy of 206.2949(32) meV [1]. The position of this line strongly disagrees with predictions (shown by the orange points in Fig. 3) which have been computed assuming the proton radius extracted from hydrogen spectroscopy and theory, and the proton radius from electron-proton scattering experiments."

Is this disagreement unique to muonic atoms or is there also disagreement from theory for a normal electron/proton atom?
 
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edguy99, Since the muon is 200 times heavier than the electron, the Bohr radius for a muonic hydrogen atom is 200 times smaller. Thus the energy levels of the lowest states are much more sensitive to the properties of the proton, and in particular are affected by its charge radius. The apparent discrepancy he talks about is not yet understood.
 
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