Experimental Test of the Theory of Muonic Atoms

Dixit, M. S.; Anderson, H. L.; Hargrove, C. K.; McKee, R.J.; Kessler, D.; Mes, H.; Thompson, A.C.

doi:10.1103/physrevlett.27.878

Cited by 100 publications

(28 citation statements)

References 18 publications

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“…The results for transitions which are relevant for the test of QED corrections are shown in Table 5 and the differences Etheor-Eex p are plotted in Figure5 together with the data of Dixit et al [18]; values of [7] have been omitted. The data of [9,17] have been corrected by 11 eV due to the new value of the 411.8 keV Au calibration line (see Fig. 5).…”

Section: Comparison With Theory and Discussionmentioning

confidence: 99%

“…Open circles [9], full circles this work, rectangles [-17], triangles [18]. The broken line is the abscissa corresponding to the old value (see Table 1) of the Au calibration standard systematic uncertainty of the fitted energies.…”

Section: Analysis Of the Spectramentioning

confidence: 99%

“…E,~p: measured energies of a) [9], b) [17], c~ [-18], d~ this work: the results of [9,17] have been corrected by 4 to 11 eV corresponding to the new value of the 411keV Au calibration standard [19] Etement z 308.438 (19) 21 (20) 4./72 3dsj 2 303.329 21 -11…”

Section: Analysis Of the Spectramentioning

confidence: 99%

“…The y's coming from the target and the different sources do not enter into the detector under the same angle, leading to shifts between their respective lines [9,[40][41][42]. This geometry effect was measured after the run, with radioactive sources, but due to its variations in time, with a limited accuracy.…”

Section: Geometry Effectmentioning

confidence: 99%

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Test of electron screening and vacuum polarization in heavy muonic atoms

et al. 1976

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Energies of higher # X-rays have been measured in l~ natHg and 2~ to test the vacuum polarization correction and the electron screening effect in heavy muonic atoms. For tests of the energy calibration delayed nuclear 7-rays from the #-capture reaction were used. The experimental data agree to better than 4% with self-consistent Hartree-Fock calculations of the electron screening. Transitions which are sensitive to the vacuum polarization correction mainly, verify the calculations to better than 1.5 %. Comparing all at present existing experiments with latest calculations no significant deviation of more than 0.7 % of the vacuum polarization correction can be deduced.

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Section: Comparison With Theory and Discussionmentioning

confidence: 99%

Section: Analysis Of the Spectramentioning

confidence: 99%

Section: Analysis Of the Spectramentioning

confidence: 99%

Section: Geometry Effectmentioning

confidence: 99%

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Test of electron screening and vacuum polarization in heavy muonic atoms

et al. 1976

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“…Muonic (y)-ray spectra can be used as an experimental tool to determine the electronic charge distribution inside a radius of about 0. 3 A These values can be compared with self-consistent field calculations which take into account the muon plus the electrons such as we have done some time ago [5] .…”

Section: Table I the Corrections To The Binding Energies Or Atomic Tmentioning

confidence: 99%

What can one learn with muons about atomic physics?

Fricke

2009

Int. J. Quantum Chem.

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The atomic physics of a hydrogen-like atom is still an interesting field. With this simplest of all possible atomic systems, one gets (besides many other quantities) information about the fundamental question : What is the "true" interaction between charged particles? Although these atoms are relatively simple, one has not been able to study experimentally more than a few very light ones, namely up to C + 5 .Lamb shift experiments obtain very precise energy differences between nsli2 and np,,, electronic states, which should be degenerate according to the Dirac equation. The contributions to the best known splitting which is the 2s -2p,,, difference in hydrogen are given in column 1 of Table I. After more than 20 years, (2s -2p,,,), p-Pb (1s) and .~-p b ( S g~,~-4f5d energyeigenvalue OK t r a n s i t i o n energy Dirac e q u a t i o n p o i n t nucleus f i n i t e s i z e e f f e c t Znd o r d e r s e l f -e n e r g y znd order vacuumpolar i s a t i o n pnd order remainder qch order s e l f -e n e r g y bth order Vacuumpolarisation

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Energy Levels of a Muonic Atom

Chatterjee

1979

Annalen der Physik

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A b s t r a c t . The Energy levels of a muonic atom, taking electron screening into account are determined by directly solving the Dirac Equation in a screened Coulomb potential of the ALLIS-MORSE type. The non-relativistic limit of the result agrees with the values obtained by solving the Schrodinger Equation for a muon in such a potential. The deviation from the Coulomb case is of the form 3 exp (-xZm/m,), where x w 2 to 7 for the lSlje state and is thus small if values of a, are taken from the tables of ALLIS and MORSE. However these values, fitted t o electron-scattering experiments may not be relevant for muonic atoms so that experimental determination of al for muonic atoms is requirqd. If a, should be smaller, the perturbation of the Coulomb levels would be greater, especially for the outer shells, and one could vary the parameter a, to fit the results with experiments. Energieniveaus eines Muon-AtomsI n h a l t s u b e r s i c h t . Die Energieniveaus der Muon-Atome werden direkt durch Gsen der Dirac-Gleichungen mit abgeschirmtem Potential vom ALLIS-MORSE-% berbcbnet. I m nicht-relativistischen Fall stimmen die erhaltenen Werte mit den entsprechenden Losungen der Schrodigergleichung uberein. Die Abweichungen vom Coulombfall sind im lSl,z-Zustand von der Form 3 exp (-xZzm/nz,), worin x w 2-7, und sind damit klein, wenn die a,-Werte den Tabellen von ALLIS und MORSE entsprechen. Jedoch sind diese an die Elektronenstreuversuche angepalten Werte moglicherweise nicht fiir Muon-Atome malgebend, so dal3 eine experimentelle Bestimmung von a, speziell fur Muon-Atome erforderlich ist. Wenn a, kleiner sein sollte, niirde die Storung der Coulomb-Niveaud, insbesondere der iiuleren Schalen, groler sein, und man konnte den Parameter al den Versuchsergebnissen anpassen.

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Experimental Test of the Theory of Muonic Atoms

Cited by 100 publications

References 18 publications

Test of electron screening and vacuum polarization in heavy muonic atoms

Test of electron screening and vacuum polarization in heavy muonic atoms

What can one learn with muons about atomic physics?

Energy Levels of a Muonic Atom

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