Toward the 2s-2p spectroscopy of the µp atom

Taqqu, D.; Brunnhuber, A.; Daniel, H.; Hartmann, F. J.; Hauser, Peter C.; Kottmann, F.; Maierl, C.; Markushin, V. E.; Mühlbauer, M.; Petitjean, C.; Schott, W.; Wojciechowski, Piotr

doi:10.1007/bf02227672

Cited by 7 publications

(8 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The results (2) and (3) are consistent with each other and agree within one standard deviation with the direct calculation (1). Note, however, that the uncertainties in (2) and (3) are those caused by numerical treatment of the Padé approximation and do not represent the accuracy of the Padé method itself. To gain insight in how good the Padé approximation is we have examined two cases where exact results are known.…”

Section: Introductionsupporting

confidence: 78%

“…The difference between them is within one standard deviation of the result (1) and can be ignored for the purpose of comparison with experiment. However, (1), (2) and (3) all involve some uncertainties inherent to their derivation. Thus it will be worthwhile to examine the nature of these uncertainties.…”

Section: Discussionmentioning

confidence: 99%

“…In a recent paper we evaluated the contribution ∆E (p6) of the sixth-order electron-loop vacuum-polarization diagrams to the muonic hydrogen (µ − p + ) Lamb Shift [1]. Together with the proposed measurement of the 2P 1/2 − 2S 1/2 Lamb Shift [2] it will lead to a very precise determination of the proton charge radius.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Accuracy of calculations involvingα3vacuum-polarization diagrams: Muonic hydrogen Lamb shift and muong−2

Kinoshita

Nio

1999

Phys. Rev. D

View full text Add to dashboard Cite

The contribution of the α 3 single electron-loop vacuum-polarization diagrams to the Lamb shift of the muonic hydrogen has been evaluated recently by two independent methods. One uses the exact parametric representation of the vacuum-polarization function while the other relies on the Padé approximation method. High precision of these values offers an opportunity to examine the reliability of the Monte-Carlo integration as well as that of the Padé method. Our examination covers both muonic hydrogen atom and muon g−2.We tested them further for the cases involving two-loop vacuum polarization, where an exact analytic result is known. Our analysis justifies the result for the Lamb shift of the muonic hydrogen and also resolves the long-standing discrepancy between two previous evaluations of the muon g − 2 value.

show abstract

Section: Introductionsupporting

confidence: 78%

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

Accuracy of calculations involvingα3vacuum-polarization diagrams: Muonic hydrogen Lamb shift and muong−2

Kinoshita

Nio

1999

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…This is the starting point for a complicated interplay of competitive collisional and radiative deexcitation processes, the so-called atomic cascade, which ends with the muonic atom being in the 1s ground state. The possibility of a metastable 2p state in muonic hydrogen is currently under investigation [3].Muons, in contrast to the other possible particles, are not affected by strong interaction. So they may serve as the best probe for the investigation of these deexcitation processes.At the investigated hydrogen densities, collisional deexcitation dominates from the beginning of the cascade to low n states, depending on the target density and the kinetic energy of the µp atom [1,5-8].…”

mentioning

confidence: 99%

mentioning

confidence: 99%

X-Ray Emission during the Muonic Cascade in Hydrogen

Lauss

Ackerbauer²,

Breunlich³

et al. 1998

Phys. Rev. Lett.

Self Cite

View full text Add to dashboard Cite

We report our investigations of x rays emitted during the muonic cascade in hydrogen employing charge coupled devices as x-ray detectors. The density dependence of the relative x-ray yields for the muonic hydrogen lines (K a , K b , and K g ) has been measured at densities between 0.001 15 and 0.97 of liquid hydrogen density. In this density region collisional processes dominate the cascade down to low energy levels. A comparison with recent calculations is given in order to demonstrate the influence of Coulomb deexcitation. [S0031-9007 (98)05692-0]

show abstract