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L -shell internal ionization accompanying L capture

Takeshi Mukoyama, Tetsuo Kitahara, Sakae Shimizu

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Abstract

The $L$-shell internal ionization accompanying $L$ capture has been considered. Numerical calculations of the internal-ionization probabilities per $L$ capture and the energy spectra of electrons ejected during this process are presented for low-energy transitions in high-$Z$ elements. Screened relativistic hydrogenic wave functions are used. The effect of the presence of a hole resulting from electron capture is included in the screening constant for the daughter atom. It is shown that the ionization probability per $L$ capture depends upon $\frac{{B}_{i}}{{E}_{0}}$, where ${E}_{0}$ is the transition energy of the ordinary electron capture and ${B}_{i}$ is the ${L}_{i}$-shell binding energy of the daughter atom ($i=1,2,3$). The calculated results also predict that observation of this process is possible when the $K$-shell internal-ionization process during $K$ capture is forbidden energetically. Possible experiments to detect this phenomenon are briefly discussed.[RADIOACTIVITY $^{157}\mathrm{Tb}$, $^{179}\mathrm{Ta}$, $^{193}\mathrm{Pt}$; calculated $L$-shell internal-ionization probability accompanying $L$-shell EC, ejected-electron spectrum.]

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What this paper is about

The $L$-shell internal ionization accompanying $L$ capture has been considered. Numerical calculations of the internal-ionization probabilities per $L$ capture and the energy spectra of electrons ejected during this process are presented for low-energy transitions in high-$Z$ elements. Screened relativistic hydrogenic wave functions are used. The effect of the presence of a hole resulting from electron capture is included in the screening constant for the daughter atom. It is shown that the ionization probability per $L$ capture depends upon $\frac{{B}_{i}}{{E}_{0}}$, where ${E}_{0}$ is the transition energy of the ordinary electron capture and ${B}_{i}$ is the ${L}_{i}$-shell binding energy of the daughter atom ($i=1,2,3$). The calculated results also predict that observation of this process is possible when the $K$-shell internal-ionization process during $K$ capture is forbidden energetically. Possible experiments to detect this phenomenon are briefly discussed.[RADIOACTIVITY $^{157}\mathrm{Tb}$, $^{179}\mathrm{Ta}$, $^{193}\mathrm{Pt}$; calculated $L$-shell internal-ionization probability accompanying $L$-shell EC, ejected-electron spectrum.]

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Available abstract

The $L$-shell internal ionization accompanying $L$ capture has been considered. Numerical calculations of the internal-ionization probabilities per $L$ capture and the energy spectra of electrons ejected during this process are presented for low-energy transitions in high-$Z$ elements. Screened relativistic hydrogenic wave functions are used. The effect of the presence of a hole resulting from electron capture is included in the screening constant for the daughter atom. It is shown that the ionization probability per $L$ capture depends upon $\frac{{B}_{i}}{{E}_{0}}$, where ${E}_{0}$ is the transition energy of the ordinary electron capture and ${B}_{i}$ is the ${L}_{i}$-shell binding energy of the daughter atom ($i=1,2,3$). The calculated results also predict that observation of this process is possible when the $K$-shell internal-ionization process during $K$ capture is forbidden energetically. Possible experiments to detect this phenomenon are briefly discussed.[RADIOACTIVITY $^{157}\mathrm{Tb}$, $^{179}\mathrm{Ta}$, $^{193}\mathrm{Pt}$; calculated $L$-shell internal-ionization probability accompanying $L$-shell EC, ejected-electron spectrum.]

Key concepts: Ionization, Atomic physics, Physics, Electron shell, Electron, Atom (system on chip), Molar ionization energies of the elements, Spectral line

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