Muonic Atoms

Devons, S.; Duerdoth, I. P.

doi:10.1007/978-1-4684-8343-7_5

Cited by 45 publications

(21 citation statements)

References 127 publications

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“…The total Hamiltonian for a muon bound to a nucleus can be written as a sum of nuclear, muonic, and interaction Hamiltonian [4]. Thus, we consider the Hamiltonian…”

Section: Interaction Between Muon and Nucleusmentioning

confidence: 99%

Theoretical prediction of the fine and hyperfine structure of heavy muonic atoms

2017

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Precision calculations of the fine and hyperfine structure of muonic atoms are performed in a relativistic approach and results for muonic 205 Bi, 147 Sm, and 89 Zr are presented. The hyperfine structure due to magnetic dipole and electric quadrupole splitting is calculated in first order perturbation theory, using extended nuclear charge and current distributions. The leading correction from quantum electrodynamics, namely vacuum polarization in Uehling approximation, is included as a potential directly in the Dirac equation. Also, an effective screening potential due to the surrounding electrons is calculated, and the leading relativistic recoil correction is estimated.

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“…The total Hamiltonian for a muon bound to a nucleus can be written as a sum of nuclear, muonic, and interaction Hamiltonian [4]. Thus, we consider the Hamiltonian…”

Section: Interaction Between Muon and Nucleusmentioning

confidence: 99%

Theoretical prediction of the fine and hyperfine structure of heavy muonic atoms

2017

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“…An analysis has shown that in reality nearly always full inner shells [11,[14][15][16] have to be assumed when the muon transition occurs. This is well understood since the mean lifetime of an l s vacancy in Pb is of the order of 10-17s, due to the refilling of np electrons [17], whereas the radiative muon transition time for the 5-4 and 6-5 transition is at least slower by a factor of 5 and 10, respectively [18]. For higher transitions these factors are even larger.…”

Section: Inclusion Of the Electron State-dependent Screening And Discmentioning

confidence: 96%

“…For higher transitions these factors are even larger. In addition, the muonic Auger transition, the process, whereby an inner electron will be ejected, has only a probability of about 2 ~o and 8 ~o for the transitions 6-5 and 7-6, respectively, as compared with radiative transition probabilities [18]. These small probabilities to generate an 1 s hole and its short lifetime reduce the number of 5-4 muonic transitions in the presence of an ls hole to less than 1%.…”

Section: Inclusion Of the Electron State-dependent Screening And Discmentioning

confidence: 97%

Contribution of the exact Breit operator plus the electron state-dependent screening to the multiplet and fine structure of muon-electron atoms

Rashid

Fricke

1980

Z Physik A

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We investigate for very general cases the multiplet and fine structure splitting of muonelectron atoms arising from the coupling of the electron and muon angular momenta, including the effect of the Breit operator plus the electron state-dependent screening. Although many conditions have to be fulfilled simultaneously to observe these effects, it should be possible to measure them in the 6 h-5 g muonic transition in the Sn region.

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“…Among them, reduction of nuclear wastes, especially long lived radioactive species such as long lived fission products(LLFPs) with muon nuclear transformation, if possible, is one of the most important issues concerning energy production for society based on nuclear power plants. In muonic atom, which is formed by trapping a negative muon, the atomic nucleus absorbs a negative muon with large probability (95per cent), if the atomic number(Z) is more than 30 and then, it transforms to a stable nucleus by beta decay and the emission of several neutrons [1]. For example, long lived cesium isotope, 135 Cs(τ 1/2 =2.3 Myear), which is produced from the nuclear power plant in burning out one ton of enriched the nuclear fuel including 3per cent 235 U can be transformed to non-radioactive xenon isotopes within about five years, if the yield of negative muon is 10 16 µ − /s.…”

Section: Introductionmentioning

confidence: 99%