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تسجيل مستخدم جديدTheory of the n=2 levels in muonic deuterium
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The present knowledge of Lamb shift, fine- and hyperfine structure of the $mathrm{2S}$ and $mathrm{2P}$ states in muonic deuterium is reviewed in anticipation of the results of a first measurement of several $mathrm{2S-2P}$ transition frequencies in muonic deuterium ($mumathrm{d}$). A term-by-term comparison of all available sources reveals reliable values and uncertainties of the QED and nuclear structure-dependent contributions to the Lamb shift, which are essential for a determination of the deuteron rms charge radius from $mumathrm{d}$. Apparent discrepancies between different sources are resolved, in particular for the difficult two-photon exchange contributions. Problematic single-sourced terms are identified which require independent recalculation.
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The present knowledge of Lamb shift, fine-, and hyperfine structure of the 2S and 2P states in muonic helium-3 ions is reviewed in anticipation of the results of a first measurement of several $mathrm{2Srightarrow2P}$ transition frequencies in the mu
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-to-leading order in chiral effective field theory and compare our results to selected electromagnetic data to test the validity of the theory. We then feed response functions calculated over a wide range of kinematics to the dispersion-theory formalism and show that an improved accuracy is obtained compared to that with the use of available experimental data in the dispersive analysis. This opens up the possibility of applying this hybrid method to other light muonic atoms and supplementing experimental data with ab initio theory for kinematics where data are scarce or difficult to measure with the goal of reducing uncertainties in estimates of nuclear structure effects in atomic spectroscopy.
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