The Effect of Atomic Binding on the Decay Rate of Negative Muons

Blair, I.M.; Muirhead, H.; Woodhead, T; Woulds, J.N.

doi:10.1088/0370-1328/80/4/317

Cited by 17 publications

(23 citation statements)

References 10 publications

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“…Therefore, we come to conclude that the experimental data [10] fully confirm the validity of (15) in its application to quantum bound systems. At the same time, one can add that in the later experiment [11] the data obtained in [10] by Yovanovitch at Z = 20 . .…”

Section: Change Of Time Rate For Quantum Electrically Bound Particlesmentioning

confidence: 80%

“…1 Comparison of the results of theoretical calculation of the bound muon decay rate versus Z with the experimental data of [10]. The peak near Z = 26 observed in [10] was not confirmed in the later experiment [11] Dirac equation for the bound electron in an external EM field. The introduction of these replacements into Dirac-Coulomb equation for the quantum one-body problem gives the same gross, as well as fine structure atomic energy levels, as those furnished by the common approach, but implies at the same time a scaling transformation r = r /(b n γ n ).…”

Section: Resultsmentioning

confidence: 96%

“…The experiments for measurement of the decay rate of muons bound in meso-atoms at various Z had been carried out in 1960's, the last century [10,11] and they contradict each other in some points. Nonetheless they were not repeated later and thus, we hope that the present analysis will stimulate further research on this subject.…”

Section: Change Of Time Rate For Quantum Electrically Bound Particlesmentioning

confidence: 99%

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Pure Bound Field theory and the Decay of Moun in Meso-Atoms

2010

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In the present paper we consider the electrically bound quantum particles within the framework of pure bound field theory (PBFT) (Kholmetskii, A.L., et al.: Phys. Scr. 82, 045301 (2010)), which explicitly takes into account the non-radiative nature of electromagnetic (EM) field generated by bound charges in the stationary energy states, and evokes the appropriate modifications of bound EM field, which secure the total momentum conservation law for the isolated system "electron plus nucleus" in the absence of EM radiation. Such a PBFT gives the same gross as well as fine structure of atomic energy levels, as those furnished by the common approach, but implies a scaling transformation of radial coordinates. In this paper we find out that in the classical limit this transformation reflects the dependence of time rate for the orbiting electron on the electric potential of the binding EM field in addition to relativistic dependence on its Lorentz factor. We show that this effect completely eliminates the available up to date discrepancy between calculated and experimental data on the decay rate of bound muon in meso-atoms. We emphasize that the revealed dependence of time rate of quantum electrically bound particles on the electric potential represents the specific effect of PBFT, and, in general, is not extended to the classical world.

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Section: Change Of Time Rate For Quantum Electrically Bound Particlesmentioning

confidence: 80%

Section: Resultsmentioning

confidence: 96%

Section: Change Of Time Rate For Quantum Electrically Bound Particlesmentioning

confidence: 99%

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Pure Bound Field theory and the Decay of Moun in Meso-Atoms

2010

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“…Ps ϭ 1 233 607 216(2) MHz (19) The deviation between the values (18) and (19) is more than three times larger than the uncertainty in the measurement of the 1S-2S interval, and this discrepancy between theory and experiment remained unanswered for a long time. Now, in accordance with the obtained pure bound field correction, (17), we have to decrease the calculated value (18) by 7.48 MHz.…”

Section: S-2s Interval In Positroniummentioning

confidence: 99%

Pure bound field corrections to the atomic energy levels and the proton size puzzle

2014

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Reinforcement of the puzzle about the proton charge radius, r E , stimulated by the recent experiment with muonic hydrogen (Antognini et al. Science, 339, 417 (2013)) induced new discussions on the subject, and now some physicists are ready to adopt the exotic properties of the muon, lying beyond the Standard Model, to explain the difference between the results of muonic hydrogen experiments (r E = 0.840 87(39) fm) and the CODATA-2010 value r E = 0.8775(51) fm based on electron-proton scattering and hydrogen spectroscopy. In the present contribution we suggest a way to achieve progress in the entire problem via paying attention on some logical inconsistency of fundamental equations of atomic physics, constructed by analogy with corresponding classical equations without, however, taking into account the purely bound nature of electromagnetic fields generated by the electrically bound particles in stationary energy states. We suggest eliminating this inconsistency via introducing some appropriate correcting factors into these equations, which explicitly involve the requirement of total momentum conservation in the system "bound particles and their fields" in the absence of electromagnetic radiation. We further show that this approach allows us not only to eliminate long-standing discrepancies between theory and experiment in the precise physics of simple atoms, but also yields the same estimation (though with different uncertainties) for the proton size in the classic 2S-2P Lamb shift in hydrogen, 1S Lamb shift in hydrogen, and 2S-2P Lamb shift in muonic hydrogen, with the mean value r E = 0.841 fm. Finally, we suggest the crucial experiment for verification of the validity of pure bound field corrections: the measurement of decay rate of bound moun in various meso-atoms, especially at large Z, where the standard calculations and our predictions essentially deviate from each other, and some of the available experimental results (Yovanovitch. Phys. Rev. 117, 1580Rev. 117, (1960) strongly support our approach. PACS Nos.: 31.30.-i, 31.30.J-, 31.30.jf. Résumé : De récents résultats expérimentaux sur l'hydrogène muonique ont renforcé le casse-tête du rayon de charge du proton (Antognini et al. Science, 339, 417 (2013)) et ont amené de nouvelles discussions sur le sujet. Maintenant certains physiciens sont même prêts à adopter la notion d'un muon exotique en dehors du modèle standard, afin d'expliquer la différence entre le résultat de l'hydrogène muonique (r E = 0.840 87(39) fm) et la valeur de CODATA-2010 (r E = 0.8775(51) fm) qui est basée sur la diffusion proton-électron et sur la spectroscopie de l'hydrogène. Notre contribution ici est de suggérer une façon de résoudre l'ensemble du problème en payant attention à certaines incohérences logiques dans les équations fondamentales de la physique atomique, construites par analogie avec les équations classiques correspondantes, sans tenir compte de la nature purement liée des champs électromagnétiques générés par des particules liées dans des états stationnaires d'énerg...

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“…wo o t e prev1ous resu ts were cons1stent w1t · t 1s va ue 19 but one result is about two standard deviations from this result.…”

Section: B Negative Muon Decay Rate In Leadmentioning

confidence: 65%