|
|
|
Theoretical study of electron-ion resonant recombination of Be-like Si10+ ion |
| Jing-Lin Rui(芮静琳)1,2, Jian-Ping Pan(潘建平)2,3, Lu-You Xie(颉录有)2,†, Yu-Long Ma(马玉龙)2, and Chen-Zhong Dong(董晨钟)2,‡ |
1 School of Cyber Security, Gansu University of Political Science and Law, Lanzhou 730070, China;
2 Key Laboratory of Atomic and Molecular Physics and Functional Materials of Gansu Province, College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China;
3 Guazhou County No. 1 Middle School, Guazhou 736100, China |
|
|
|
|
Abstract Theoretical investigations of ${L}$-shell $\Delta n = 1$ ($2{\rm s}\rightarrow 3{\rm l}$) and 2 (2${\rm s}\rightarrow 4{\rm l}$) as well as ${K}$-shell $\Delta n = 1$ (1$\rm s\rightarrow 2l$) electron-ion resonant recombination for both the ground state ($2\rm s^2$\ $^1$S$_0$) and the long-lived metastable state ($\rm 2s2p$\ $^3$P$_0$) of Be-like Si$^{10+}$ are performed. The calculations include not only the dominant dielectronic recombination (DR), but also high-order trielectronic (TR) and quadruelectronic recombination (QR) processes. Level-by-level calculations are performed for resonance energies and resonance strengths using the relativistic configuration interaction method. The theoretical rate coefficients are presented and compared with the experimental results measured at the heavy-ion storage ring TSR. When considering fractional populations of 93$%$ and 7$%$ for the ground state $\rm 2s^2$\ $^1$S$_0$ and the metastable state $\rm 2s2p$\ $^3$P$_0$, the present rate coefficients agree well with the experimental measurements. The contributions of TR are important, which is about 9.26% to the total rate coefficient of ${L}$-shell recombination. The plasma rate coefficients are also calculated, and an analytical formula is presented for convenient modeling of astrophysical and fusion plasmas.
|
Received: 26 September 2025
Revised: 18 December 2025
Accepted manuscript online: 19 December 2025
|
|
PACS:
|
34.80.Lx
|
(Recombination, attachment, and positronium formation)
|
| |
36.20.Kd
|
(Electronic structure and spectra)
|
| |
95.30.Dr
|
(Atomic processes and interactions)
|
| |
31.15.ve
|
(Electron correlation calculations for atoms and ions: ground state)
|
|
| Fund: Project supported by the National Key Research and Development Program of China (Grant No. 2022YFA1602500), the National Natural Science Foundation of China (Grant Nos. 12064041, 11874051, 12104373, 12374384, and 12464036), Central Leading Local Science and Technology Development Fund Projects (Grant No. 23ZYQA293), funds for Innovative Fundamental Research Group Project of Gansu Province (Grant No. 20JR5RA541), and Research and Innovation Project of Gansu University of Political Science and Law (Grant No. GZF2025XQN18). |
Corresponding Authors:
Lu-You Xie, Chen-Zhong Dong
E-mail: xiely@nwnu.edu.cn;dongcz@nwnu.edu.cn
|
Cite this article:
Jing-Lin Rui(芮静琳), Jian-Ping Pan(潘建平), Lu-You Xie(颉录有), Yu-Long Ma(马玉龙), and Chen-Zhong Dong(董晨钟) Theoretical study of electron-ion resonant recombination of Be-like Si10+ ion 2026 Chin. Phys. B 35 033402
|
[1] Savin DW, Gwinner G, Grieser M, Repnow R, Schnell M, Schwalm D, Wolf A, Zhou S G, Kieslich S, Müller A, et al. 2006 The Astrophysical Journal 642 1275
[2] Schippers S, Schnell M, Brandau C, Kieslich S, Müller A and Wolf A 2004 Astronomy & Astrophysics 421 1185
[3] Zhang C Y, Wu S J, Wang K, Si R, Yao K, Huang Z K, Wen W Q, Ma X W, Chen C Y and Badnell N 2023 Phys. Rev. A 108 022801
[4] Shah C, Amaro P, Steinbrügge R, Bernitt S, López-Urrutia J R C and Tashenov S 2018 The Astrophysical Journal Supplement Series 234 27
[5] Schnell M, Gwinner G, Badnell N, Bannister M, Böhm S, Colgan J, Kieslich S, Loch S, Mitnik D, Müller A, et al. 2003 Phys. Rev. Lett. 91 043001
[6] Beilmann C, Mokler P H, Bernitt S, Keitel C H, Ullrich J, López- Urrutia J R C and Harman Z 2011 Phys. Rev. Lett. 107 143201
[7] Beilmann C, Harman Z, Mokler P, Bernitt S, Keitel C, Ullrich J and López-Urrutia J C 2013 Phys. Rev. A 88 062706
[8] Xie L Y, Lu S M, Cheng X S, Zhang D H, Jiang J and Dong C Z 2019 X-Ray Spectrometry 48 657
[9] Xie L Y, Rui J L, Zhang J M, Schuch R and Dong C Z 2022 Phys. Rev. A 105 012823
[10] Dou L J, Xie L Y, Zhang D H, Dong C Z, Wen W Q, Huang Z K and Ma X W 2017 The European Physical Journal D 71 1
[11] Rui J L, Xie L Y, He W L, Ma Y L, Schuch R and Dong C Z 2024 Phys. Scr. 99 125406
[12] Fogle M, Badnell N, Glans P, Loch S, Madzunkov S, Abdel-Naby S A, Pindzola M and Schuch R 2005 Astronomy & Astrophysics 442 757
[13] Orban I, Böhm S, Loch S D and Schuch R 2008 Astronomy & Astrophysics 489 829
[14] Orban I, Loch S D, Böhm S and Schuch R 2010 The Astrophysical Journal 721 1603
[15] Huang Z K,WenWQ, Xu X, Mahmood S,Wang S X,Wang H B, Dou L J, Khan N, Badnell N R, Preval S P, Schippers S, Xu T H, Yang Y, Yao K, Xu W Q, Chuai X Y, Zhu X L, Zhao D M, Mao L J, Ma X M, Li J, Mao R S, Yuan Y J, Wu B, Sheng L N, Yang J C, Xu H S, Zhu L F and Ma X 2018 The Astrophysical Journal Supplement Series 235 2
[16] Wang S X, Xu X, Huang Z K, Wen W Q, Wang H B, Khan N, Preval S P, Badnell N R, Schippers S, Mahmood S, Dou L J, Chuai X Y, Zhao D M, Zhu X L, Mao L J, Ma X M, Li J, Mao R S, Yuan Y J, Tang M T, Yin D Y, Yang J C, Ma X and Zhu L F 2018 The Astrophysical Journal 862 134
[17] Schippers S, Schmidt EW, Bernhardt D, Yu D, Müller A, Lestinsky M, Orlov D A, Grieser M, Repnow R andWolf A 2007 J. Phys.: Conf. Ser. 58 137
[18] Orlov D A, Krantz C, Bernhardt D, Brandau C, Hoffmann J, Müller A, Ricsóka T, Schippers S, Shornikov A and Wolf A 2009 J. Phys.: Conf. Ser. 163 012058
[19] Beilmann C, Postavaru O, Arntzen L, Ginzel R, Keitel C, Mäckel V, Mokler P, Simon M, Tawara H, Tupitsyn I, et al. 2009 Phys. Rev. A 80 050702
[20] Shah C, Jörg H, Bernitt S, Dobrodey S, Steinbrügge R, Beilmann C, Amaro P, Hu Z, Weber S, Fritzsche S, et al. 2015 Phys. Rev. A 92 042702
[21] Shah C, Amaro P, Steinbrügge R, Beilmann C, Bernitt S, Fritzsche S, Surzhykov A, Crespo López-Urrutia J R and Tashenov S 2016 Phys. Rev. E 93 061201
[22] Fletcher L 2024 Annual Review of Astronomy and Astrophysics 62 437
[23] Mancuso S, Giordano S, Barghini D and Telloni D 2020 Astronomy & Astrophysics 644 A18
[24] Mernier F, de Plaa J, Pinto C, Kaastra J S, Kosec P, Zhang Y Y, Mao J, Werner N, Pols O R and Vink J 2016 Astronomy & Astrophysics 595 A126
[25] Simionescu A, Nakashima S, Yamaguchi H, Matsushita K, Mernier F, Werner N, Tamura T, Nomoto K, De Plaa J, Leung S, et al. 2019 Monthly Notices of the Royal Astronomical Society 483 1701
[26] Mernier F, Biffi V, Yamaguchi H, Medvedev P, Simionescu A, Ettori S, Werner N, Kaastra J, de Plaa J and Gu L 2018 Space Science Reviews 214 1
[27] Dufresne R, Del Zanna G and Storey P 2021 Monthly Notices of the Royal Astronomical Society 505 3968
[28] Gu M 2003 The Astrophysical Journal 590 1131
[29] Colgan J, Pindzola M, Whiteford A and Badnell N 2003 Astronomy & Astrophysics 412 597
[30] Bernhardt D, Becker A, Brandau C, Grieser M, Hahn M, Krantz C, Lestinsky M, Novotny O, Repnow R, Savin D W, et al. 2016 J. Phys. B: Atom. Mol. Opt. Phys. 49 074004
[31] Cheng K T, Chen M H and Johnson W R 2008 Phys. Rev. A 77 052504
[32] Gu M F 2008 Canadian Journal of Physics 86 675
[33] Pindzola M, Badnell N and Griffin D 1992 Phys. Rev. A 46 5725
[34] Rui J L, Xie L Y, Ma Y L and Dong C Z 2023 Euro. Phys. J. D 77 174
[35] Jönsson P, Godefroid M, Gaigalas G, Ekman J, Grumer J, Li W, Li J, Brage T, Grant I P, Bieroń J, et al. 2022 Atoms 11 7
[36] Savelyev I M, Kaygorodov M Y, Kozhedub Y S, Malyshev A V, Tupitsyn I I and Shabaev V M 2023 Phys. Rev. A 107 042803
[37] Hahn Y 1997 Reports on Progress in Physics 60 691
[38] Andersen L H and Bolko J 1990 Phys. Rev. A 42 1184
[39] Schuch R, Barany A, Danared H, Elander N and Mannervik S 1989 Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 43 411
[40] Behar E, Mandelbaum P and Schwob J 1999 Phys. Rev. A 59 2787
[41] Kramida A, Yu Ralchenko, Reader J and and NIST ASD Team 2023 NIST Atomic Spectra Database (ver. 5.11), [Online], [2024, October 17]. National Institute of Standards and Technology, Gaithersburg, MD.
[42] Hahn Y 1985 Advances in Atomic and Molecular Physics vol. 21 (Elsevier) pp. 123–196
[43] McLaughlin D and Hahn Y 1982 Journal of Quantitative Spectroscopy and Radiative Transfer 28 343 |
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
