21 research outputs found

    The Lamb shift in muonic Helium ions

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    Theory of the n=2 levels in muonic deuterium

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    The present knowledge of Lamb shift, fine- and hyperfine structure of the 2S\mathrm{2S} and 2P\mathrm{2P} states in muonic deuterium is reviewed in anticipation of the results of a first measurement of several 2S−2P\mathrm{2S-2P} transition frequencies in muonic deuterium (ÎŒd\mu\mathrm{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 ÎŒd\mu\mathrm{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.Comment: 26 pages, add missing feynman diagrams (Fig. 3), renumber items (Tab. IV), correct a sum (column 5, Tab. IV

    Improved X-ray detection and particle identification with avalanche photodiodes

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    Avalanche photodiodes are commonly used as detectors for low energy x-rays. In this work we report on a fitting technique used to account for different detector responses resulting from photo absorption in the various APD layers. The use of this technique results in an improvement of the energy resolution at 8.2 keV by up to a factor of 2, and corrects the timing information by up to 25 ns to account for space dependent electron drift time. In addition, this waveform analysis is used for particle identification, e.g. to distinguish between x-rays and MeV electrons in our experiment.Comment: 6 pages, 6 figure

    Improved X-ray detection and particle identification with avalanche photodiodes

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    Proton Structure from the measurement of 2S-2P transition frequencies of muonic hydrogen

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    Accurate knowledge of the charge and Zemach radii of the proton is essential, not only for understanding its structure but also as input for tests of bound-state quantum electrodynamics and its predictions for the energy levels of hydrogen. These radii may be extracted from the laser spectroscopy of muonic hydrogen (ÎŒp, that is, a proton orbited by a muon). We measured the 2S^F=0_1/2 - 2P^F=1_3/2 transition frequency in ÎŒp to be 54611.16(1.05) gigahertz (numbers in parentheses indicate one standard deviation of uncertainty) and reevaluated the 2S^F=1_1/2 - 2P^F=2_3/2 transition frequency, yielding 49881.35(65) gigahertz. From the measurements, we determined the Zemach radius, rZ = 1.082(37) femtometers, and the magnetic radius, rM = 0.87(6) femtometer, of the proton. We also extracted the charge radius, rE = 0.84087(39) femtometer, with an order of magnitude more precision than the 2010-CODATA value and at 7σ variance with respect to it, thus reinforcing the proton radius puzzle

    Laser spectroscopy of muonic deuterium

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    International audienceThe deuteron is the simplest compound nucleus, composed of one proton and one neutron. Deuteron properties such as the root-mean-square charge radius rd and the polarizability serve as important benchmarks for understanding the nuclear forces and structure. Muonic deuterium ÎŒd is the exotic atom formed by a deuteron and a negative muon Ό–. We measured three 2S-2P transitions in ÎŒd and obtain rd = Embedded Image fm, which is 2.7 times more accurate but 7.5σ smaller than the CODATA-2010 value rd = Embedded Image fm. The ÎŒd value is also 3.5σ smaller than the rd value from electronic deuterium spectroscopy. The smaller rd, when combined with the electronic isotope shift, yields a “small” proton radius rp, similar to the one from muonic hydrogen, amplifying the proton radius puzzle
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