Measurement of the K X-ray intensity ratios in muonic hydrogen at low gas densities

Bregant, M.; Chatellard, D.; Egger, J. P.; Hauser, Peter C.; Jeannet, E.; Kirch, K.; Kottmann, F.; Milotti, E.; Petitjean, C.; Simons, L. M.; Taqqu, D.; Zavattini, E.

doi:10.1016/s0375-9601(98)00148-0

Cited by 26 publications

(38 citation statements)

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“…In our opinion, the observed disagreements between theoretical and experimental results for µ − p in a few values of density (e.g., at ϕ ≃ 1.6·10 −6 and ϕ ≃ 2·10 −5 ) can not be explained by the possible theoretical uncertainties in the present study. In particular, the experimental value of the relative Kα line x-ray yield at ϕ ≃ 2·10 −5 (0.622 [59]) is obviously much lesser than the value 0.699 obtained in [58] …”

Section: Simulation Of the Atomic Cascadementioning

confidence: 67%

“…The present results for µ − p and µ − d atoms are compared with available experimental data [58][59][60][61]. The density dependence of the relative Kα line x-ray yields for muonic hydrogen and deuterium is shown in Fig.…”

Section: Simulation Of the Atomic Cascadementioning

confidence: 78%

“…It is noteworthy, that the temperature dependence of both absolute and relative x-ray yields is very weak at the density range below ϕ ≈ 10 −3 , where experimental data [58,59] have been obtained. As a whole, the theoretical values of relative x-ray yields of Kα line are in very good agreement with experimental data [58][59][60][61], obtained in the wide density range from ϕ = 3.98 × 10 −7 up to 1.14 (in the case of µd atom). In our opinion, the observed disagreements between theoretical and experimental results for µ − p in a few values of density (e.g., at ϕ ≃ 1.6·10 −6 and ϕ ≃ 2·10 −5 ) can not be explained by the possible theoretical uncertainties in the present study.…”

Section: Simulation Of the Atomic Cascadementioning

confidence: 92%

“…Their energies are 1.90 keV, 2.25 keV, 2.37 keV, and 2.43 keV in µ − p atom and accordingly 2.00 keV, 2.37 keV, 2.50 keV, and 2.56 keV in µ − d atom. Some of our results are compared with the available experimental data on the density dependence of the relative x-ray yields of K lines [58][59][60][61], intensity ratio of Kα and Kβ lines [58,60,61], and cascade times [10,43,45].…”

Section: Simulation Of the Atomic Cascadementioning

confidence: 99%

“…The calculations were done at the target temperature T = 30 K that corresponds to experimental conditions [60,61]. It is noteworthy, that the temperature dependence of both absolute and relative x-ray yields is very weak at the density range below ϕ ≈ 10 −3 , where experimental data [58,59] have been obtained. As a whole, the theoretical values of relative x-ray yields of Kα line are in very good agreement with experimental data [58][59][60][61], obtained in the wide density range from ϕ = 3.98 × 10 −7 up to 1.14 (in the case of µd atom).…”

Section: Simulation Of the Atomic Cascadementioning

confidence: 99%

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Isotopic effects in scattering and kinetics of the atomic cascade of excited μ−p and μ−d atoms

Popov

Pomerantsev

2017

Phys. Rev. A

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The isotopic effects in the scattering and the kinetics of the atomic cascade of excited µ − p and µ − d atoms The quantum-mechanical calculations of the differential and integrated cross sections of the elastic scattering, Stark transitions, and Coulomb de-excitation at collisions of excited µ − p and µ − d atoms with hydrogen isotope atoms in the ground state are performed. The scattering processes are treated in a unified manner in the framework of the close-coupling approach. The used basis includes both open and closed channels corresponding to all exotic atom states with principal quantum numbers from n = 1 up to nmax = 20. The energy shifts of ns states due to electron vacuum polarization and finite nuclear size are taken into account. The kinetics of atomic cascade of µ − p and µ − d atoms are studied in a wide range of relative target densities (ϕ = 10 −8 − 1) within the improved version of the extended cascade model, in which the results of the numerical quantum-mechanical calculations of the cross sections for quantum numbers and kinetic energies of muonic atoms, that are of interest for the detailed cascade calculations, are used as input data. Initial (n, l, E)-distributions of muonic atoms at the instant of their formation and the target motion are taken into account explicitly in present cascade calculations. The comparison of the calculated cross sections, the kinetic energy distributions of muonic atoms at the instant of their np → 1s radiative transitions as well as the absolute and relative x-ray yields for both muonic hydrogen and muonic deuterium reveals the isotopic effects, which, in principal, may be observed experimentally. The present results are mainly in very good agreement with experimental data available in the literature.PACS numbers: I. INTRODUCTIONThe muonic and hadronic hydrogen-like atoms (µ) are formed in highly-excited states, when a heavy negatively charged particle (µ − , π − , K − , etc.) is slowed down in the gaseous or liquid hydrogen target and captured on the atomic orbit. After the exotic atom formation, its initial distributions in quantum numbers and kinetic energy are changed during the so-called atomic cascade through a number of processes: radiative and Stark transitions, elastic scattering, external Auger effect, Coulomb de-excitation (CD), weak decay, and strong absorption in the case of hadronic atoms.The general features of these exotic atoms are similar to ones of ordinary hydrogen atoms, because their level structure is mainly determined by the static Coulomb interaction. However, due to significant differences of exotic particle and electron masses, the distance scale in the exotic atom case is much smaller, while the energy scale is much larger in comparison with the usual atomic scale. These scale effects make possible to realize the processes of external Auger effect and CD and open additional opportunities for study of the quantum electrodynamics, weak or strong interactions (in the case of hadronic atoms), and scattering processes in collisions of the...

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Section: Simulation Of the Atomic Cascadementioning

confidence: 67%