Influence of electron screening on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>α</mml:mi></mml:math>decay

Karpeshin, F. F.

doi:10.1103/physrevc.87.054319

Cited by 18 publications

(11 citation statements)

References 17 publications

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Section: Cross Sections Of the Collisional Processes A Main Featmentioning

confidence: 96%

“…Due to the smallness of the dipole moment this effect can not be significant. Note that even in the case of alpha decay of heavy nucleus accounting distortions of the inner electron shell (due to the interaction of electrons with the charged alpha particle) has no significant effect on the rate of the alpha decay, as shown in the papers [35,36].Thus, at the present stage of the study of the considered processes, we are limited to the "frozen" electron approximation. Then the four-body scattering problem under consideration is reduced to the three-body one and can be described by the wave function Ψ JMp E (ρ, R) of the three-body system (µ − a) nl + A (A denotes an ordinary hydrogen or deuterium atom).…”

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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: Cross Sections Of the Collisional Processes A Main Featmentioning

confidence: 96%

mentioning

confidence: 99%

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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“…Wonderful experiments were performed studying the shell effects on the beta decay [1]. There is the comparative study of α decay in H-like and He-like ions on the urgent agenda, with respect to that in neutral atoms [2,3,4]. In spite of that the influence of the electron screening on the α decay is a very important question, in view of many applications in astrophysics and experiments with laser-produced plasma, it is only recently that the adequate approach has been found [2].…”

Section: Introductionmentioning

confidence: 99%

“…There is the comparative study of α decay in H-like and He-like ions on the urgent agenda, with respect to that in neutral atoms [2,3,4]. In spite of that the influence of the electron screening on the α decay is a very important question, in view of many applications in astrophysics and experiments with laser-produced plasma, it is only recently that the adequate approach has been found [2]. It was clearly shown that the frozen-shell approximation, which was used during half century, exaggerates the effect of the shell at least by an order of magnitude [3,4].…”

Section: Introductionmentioning

confidence: 99%

The critical notes to the solutions of the "puzzle" of hyperfine structure in 82+ and 80+ $^{209}$Bi ions

Karpeshin,

Trzhaskovskaya

2019

Preprint

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Some aspects of description of the Bohr-Weisskopf effect in hyperfine splitting of the H-and Li-like ions of 209 Bi are considered by application of the surface and volume models of the nuclear currents. Extension of these models, used in internal conversion theory, to description of the HFS allows one to successfully describe the effect, without resorting to the specific differences. The latters are shown not to be needed at all. Moreover, they turn out to depend on the nuclear model even stronger than the HFS values themselves. Comparison of the calculated HFS values to experiment shows a satisfactory agreement. Both models provide equally good description of the effect. However, they result in different values of the retrieved rms radius of the nuclear magnetization. In this respect, situation resembles the proton radius puzzle. Prospects of future research are discussed.

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“…The effects of electron screening on the calculated nuclear α-decay half-lives [44] have been investigated [45][46][47]. In this work, we will focus on the influence of binding energies of electrons on nuclear mass predictions.…”

Section: Introductionmentioning

confidence: 99%

Influence of binding energies of electrons on nuclear mass predictions

Tang¹,

Niu²,

Guo

2016

Chinese Phys. C

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Nuclear mass contains a wealth of nuclear structure information, and has been widely employed to extract the nuclear effective interactions. The known nuclear mass is usually extracted from the experimental atomic mass by subtracting the masses of electrons and adding the binding energy of electrons in the atom. However, the binding energies of electrons are sometimes neglected in extracting the known nuclear masses. The influence of binding energies of electrons on nuclear mass predictions are carefully investigated in this work. If the binding energies of electrons are directly subtracted from the theoretical mass predictions, the rms deviations of nuclear mass predictions with respect to the known data are increased by about 200 keV for nuclei with Z, N 8. Furthermore, by using the Coulomb energies between protons to absorb the binding energies of electrons, their influence on the rms deviations is significantly reduced to only about 10 keV for nuclei with Z, N 8. However, the binding energies of electrons are still important for the heavy nuclei, about 150 keV for nuclei around Z = 100 and up to about 500 keV for nuclei around Z = 120. Therefore, it is necessary to consider the binding energies of electrons to reliably predict the masses of heavy nuclei at an accuracy of hundreds of keV.

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Influence of electron screening onαdecay

Cited by 18 publications

References 17 publications

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

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

The critical notes to the solutions of the "puzzle" of hyperfine structure in 82+ and 80+ $^{209}$Bi ions

Influence of binding energies of electrons on nuclear mass predictions

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