Single- and double-electron capture in intermediate-energy ${\mathrm{H}}^{+}+\mathrm{Mg}$ collisions

Single- and double-electron capture in intermediate-energy $H^{+} + Mg$ collisions

J. W. Gao, Y. Y. Qi, Z. H. Yang, Z. M. Hu, Y. W. Zhang, Y. Wu, J. G. Wang, A. Dubois, and N. Sisourat

Phys. Rev. A 104, 032826 – Published 28 September 2021

Abstract

Single- and double-electron-capture processes occurring in the system of hydrogen ions colliding with alkaline-earth atoms, $H^{+} + Mg$ , are investigated in a broad energy domain ranging from 0.25 to 180 keV. Total and state-selective cross sections are calculated using a two-active-electron semiclassical asymptotic-state close-coupling approach. Our results show the best overall agreement with experimental data, and possible reasons for observed discrepancies are discussed. Comparison of our cross sections with previous theoretical results further demonstrates the importance of electronic correlations between the magnesium valence electrons and the strong couplings between various important channels. Furthermore, our investigations suggest that the oscillatory structures observed in the double-electron-capture cross sections stem from complex coherence effects between double-electron capture, electron transfer to excited states, and transfer-excitation processes.

Received 15 June 2021
Revised 29 August 2021
Accepted 13 September 2021

DOI:https://doi.org/10.1103/PhysRevA.104.032826

Physics Subject Headings (PhySH)

Atomic & molecular collisions Charge-transfer collisions

Atomic, Molecular & Optical

Authors & Affiliations

J. W. Gao ¹, Y. Y. Qi², Z. H. Yang ¹, Z. M. Hu^1,*, Y. W. Zhang ³, Y. Wu^4,3, J. G. Wang⁴, A. Dubois⁵, and N. Sisourat⁵

¹Key Laboratory of Radiation Physics and Technology of Ministry of Education, Institute of Nuclear Science and Technology, Sichuan University, Chengdu 610064, China
²College of Data Science, Jiaxing University, Jiaxing 314001, China
³Center for Applied Physics and Technology, HEDPS, and School of Physics, Peking University, Beijing 100871, China
⁴Key Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
⁵Sorbonne Université, CNRS, UMR 7614, Laboratoire de Chimie Physique-Matière et Rayonnement, 75005 Paris, France

^*huzhimin@scu.edu.cn

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Vol. 104, Iss. 3 — September 2021

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Figure 1
Collision geometry. The impact parameter $\vec{b}$ and velocity $\vec{v}$ define the collision plane ( $x z$ ), and $\vec{R} (t)$ defines the projectile (P) trajectory with respect to the target (T). The positions of two electrons with respect to the target center are denoted ${\vec{r}}_{1}$ and ${\vec{r}}_{2}$ , and ${\vec{r}}_{12}$ is the relative vector between the two electrons. Note that for clarity we locate the origin of the reference on the target; this does not restrict the generality of our results, which are Galilean invariant.
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Figure 2
(a) Total single-electron-capture cross sections as a function of the impact energy. The theoretical results are from the present calculations (red solid line), Pandey et al. [19] (pink dash-dotted line), Amaya-Tapia et al. [18] (green dotted line), Dutta et al. [17] (dark yellow dash-double-dotted line), and Olson and Liu [15] (blue short-dashed line). The present calculations for $2 s$ electron capture are also presented (cyan long-dashed line). The experimental results are from Shah et al. [12] (blue solid diamonds), DuBois and Toburen [11] (orange crossed diamonds), Morgan and Eriksen [9] (black solid circles), Futch and Moses [7] (blue open squares), Berkener et al. [8] (dark yellow open triangles) and Il'in et al. [6] (purple downward solid triangles). Note that experimental data from [9] for $D^{+}$ ions (black open circles) are plotted at the $\frac{1}{2} D^{+}$ energy. (b) Same as (a), but for energies ranging from 0.25 to 10 keV on a linear scale.
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Figure 3
Cross sections for SEC into $H (1 s)$ (green), $H (2 s)$ (red), and H( $2 p)$ (blue), while the target remains in the ground state ${Mg}^{+} (3 s)$ . The present calculations are plotted as solid lines with symbols; theoretical results from Dutta et al. [17] for SEC into $H (1 s)$ , $H (2 s)$ , and $H (2 p)$ are denoted as dash-double-dotted, short-dashed, and dotted lines, respectively; theoretical results from Amaya-Tapia et al. [18] for SEC into $H (1 s)$ , $H (2 s)$ , and $H (2 p)$ are presented as solid, long-dashed, and dotted lines, respectively. The experimental results of Morgan and Eriksen [13] (squares) for capture to $H (2 s)$ are also shown.
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Figure 4
Cross sections for TE processes. The present calculations are plotted as solid lines with symbols; theoretical results from Dutta et al. [17] for TE to ${Mg}^{+} (3 p)$ , ${Mg}^{+} (4 s)$ , and ${Mg}^{+} (4 p)$ are denoted as long-dashed, dotted, and dash-dotted lines, respectively.
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Figure 5
Total DEC cross sections as a function of the impact energy. Theoretical results are from the present calculations (red solid line) and Olson [16] (black dotted line). The experimental results are from Morgan and Eriksen [9] (black solid circles), Alvarez et al. [14] (blue solid triangles), Futch and Moses [7] (black open circles), and Il'in et al. [28] (dark yellow dashed line).
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Figure 6
(a) The present cross sections as a function of the inverse of the relative velocity $1 / v$ for DEC, electron transfer to H( $2 p_{\pm 1}) + {Mg}^{+} (3 s)$ , and TE to ${Mg}^{+} (3 d_{\pm 1}$ ) and ${Mg}^{+} (4 p_{0})$ channels. (b) Comparison of electron transfer and TE cross sections obtained from the present full two-active-electron calculations and restricted two-active-electron calculations without DEC channels (see text).
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Physical Review A

covering atomic, molecular, and optical physics and quantum information

Single- and double-electron capture in intermediate-energy $H^{+} + Mg$ collisions

J. W. Gao, Y. Y. Qi, Z. H. Yang, Z. M. Hu, Y. W. Zhang, Y. Wu, J. G. Wang, A. Dubois, and N. Sisourat

Phys. Rev. A 104, 032826 – Published 28 September 2021

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Physical Review A

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Single- and double-electron capture in intermediate-energy H++Mg collisions

J. W. Gao, Y. Y. Qi, Z. H. Yang, Z. M. Hu, Y. W. Zhang, Y. Wu, J. G. Wang, A. Dubois, and N. Sisourat

Phys. Rev. A 104, 032826 – Published 28 September 2021

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Single- and double-electron capture in intermediate-energy $H^{+} + Mg$ collisions