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Laser spectroscopy of light muonic atoms and the nuclear charge radii

by A. Antognini, F. Kottmann1, R. Pohl

This Submission thread is now published as

Submission summary

Authors (as registered SciPost users): Aldo Antognini
Submission information
Preprint Link: scipost_202106_00018v2  (pdf)
Date accepted: 2021-08-04
Date submitted: 2021-07-28 16:11
Submitted by: Antognini, Aldo
Submitted to: SciPost Physics Proceedings
Proceedings issue: 15th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology (RADCOR2021)
Ontological classification
Academic field: Physics
Specialties:
  • Nuclear Physics - Experiment
Approach: Experimental

Abstract

The energy levels of hydrogen-like atomic systems are shifted slightly by the complex structure of the nucleus, in particular by the finite size of the nucleus. These energy shifts are vastly magnified in muonic atoms and ions, i.e. the hydrogen-like systems formed by a negative muon and a nucleus. By measuring the 2S-2P energy splitting in muonic hydrogen, muonic deuterium and muonic helium, we have been able to deduce the p, d, 3He and 4He nuclear charge radii to an unprecedented accuracy. These radii provide benchmarks for hadron and nuclear theories, lead to precision tests of bound- state QED in regular atoms and to a better determination of the Rydberg constant.

Author comments upon resubmission

Dear Editor

we agree with the very appropriate comments of the referee and we have modified the text accordingly.

Many thanks
and best regards
Aldo Antognini

List of changes

1) Referee
Below I add some minor remarks for the author's consideration.
Fig 21.3: In the way the CAD of the cavity is cut, the two sides look the same. So it is hard to comprehend the difference between the cylindrical mirror side and the flat mirror with the ears side. Perhaps this figure could be improved.

Our reply:
The CAD drawings account for the correct geometry of the mirrors. The curvatures are relatively small so not really visible in the figure. Yet, the details about the cavity can be found in Ref. 21 which is mentioned in the caption. For this reason we prefer not to modify the figure.

2) Referee:
Line 147. It would be helpful to state in the preceding paragraph that the Michel electrons are detected by the LAAPDs.

Our reply:
We agree with the referee. Hence we added following sentences at lines 137-138:
"The LAAPDs also detect the Michel electrons from muon decays. To improve the electron detection efficiency four plastic scintillators are placed around the target."

3) Referee
Fig. 21.4: Define the lighter/darker bands and colors early on in the figure caption. Are they consistently used? Carboni is colored in blue, though this was a muonic experiment, Sick in magenta, though probably this was an e-scattering evaluation.

Our reply:
We agree with the referee. The definition of the red shaded bands has been shifted at the beginning of the caption.
We have also modified the color with the He charge radii as correctly pointed out.

4) Referee:
3He measurements are mentioned, but no results presented. Maybe comment on the status of this analysis.

We agree with the referee. For this reasons at line 144-145 we added:
"In total, ten transition frequencies in μp [23,24], μd [25], μ4He [26] and μ3He were measured (manuscript on μ3He is in preparation)."

Published as SciPost Phys. Proc. 5, 021 (2021)

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