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高电荷态离子(highly charged ion, HCI)的精细结构及辐射跃迁性质的精确测量不仅可以检验基本物理模型, 包括: 强场量子电动力学(quantum electrodynamics, QED)效应、电子关联效应、相对论效应、原子核效应等, 而且能够为天体物理和聚变等离子体物理提供关键原子物理参数. 相对于研究较多的类氢和类锂离子体系, 类硼离子的精细结构禁戒跃迁的相对论效应和QED效应的贡献很大, 高精度实验测量与理论计算为进一步检验多电子体系的基本物理模型提供了重要途径. 此外, 类硼离子也被认为是最佳的高电荷态离子光钟候选体系. 本文主要介绍了类硼离子基态2P3/2—2P1/2跃迁的实验和理论研究最新进展, 概述了其精细结构和超精细结构的研究现状, 并讨论了使用电子束离子阱结合高分辨光谱学实验技术开展类硼离子超精细分裂实验测量的方案, 为未来开展类硼离子超精细分裂实验研究并在更高精度上检验QED效应, 提取原子核磁化分布半径, 检验相关的核结构模型等研究提供了参考.The precise measurement of the fine structure and radiative transition properties of highly charged ions (HCI) is essential for testing fundamental physical models, including strong-field quantum electrodynamics (QED) effects, electron correlation effects, relativistic effects, and nuclear effects. These measurements also provide critical atomic physics parameters for astrophysics and fusion plasma physics. Compared with the extensively studied hydrogen-like and lithium-like ion systems, boron-like ions exhibit significant contributions in terms of relativistic and QED effects in their fine structure forbidden transitions. High-precision experimental measurements and theoretical calculations of these systems provide important avenues for further testing fundamental physical models in multi-electron systems. Additionally, boron-like ions are considered promising candidates for HCI optical clocks. This paper presents the latest advancements in experimental and theoretical research on the ground state 2P3/2—2P1/2 transition in boron-like ions, and summarizes the current understanding of their fine and hyperfine structures. It also discusses a proposed experimental setup for measuring the hyperfine splitting of boron-like ions by using an electron beam ion trap combined with high-resolution spectroscopy. This proposal aims to provide a reference for future experimental research on the hyperfine splitting of boron-like ions, to test the QED effects with higher precision, extract the radius of nuclear magnetization distribution, and validate relevant nuclear structure models.
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Keywords:
- highly charged ion /
- hyperfine structure /
- quantum electrodynamics /
- highly charged ion optical clock
[1] Beyer H F, Shevelko V P 2003 Introduction to the Physics of Highly Charged Ions (Institute of Physics Publishing, wholly owned by The Institute of Physics, London: IOP Publishing Ltd
[2] Indelicato P 2019 J. Phys. B: At. , Mol. Opt. Phys. 52 232001
Google Scholar
[3] Nörtershäuser W 2011 Hyperfine Interact. 199 131
Google Scholar
[4] Fawcett B C, Gabriel A H, Paget T M 1971 J. Phys. B: At. , Mol. Opt. Phys. 4 986
Google Scholar
[5] Audard M, Behar E, Güdel M, Raassen A J J, Porquet D, Mewe R, Foley C R, Bromage G E 2001 Astron. Astrophys. 365 L329
Google Scholar
[6] Edlén B 1983 Phys. Scr. 28 483
Google Scholar
[7] Flower D, Nussbaumer H 1975 Astron. Astrophys. 45 349
[8] Sugar J, Kaufman V, Cooper D 1982 Phys. Scr. 26 293
Google Scholar
[9] Wang W, Liu X W, Zhang Y, Barlow M 2004 Astron. Astrophys. 427 873
Google Scholar
[10] Stencel R E, Linsky J L, Brown A, Jordan C, Carpenter K G, Wing R F, Czyzak S 1981 Mon. Not. R. Astron. Soc. 196 47P
Google Scholar
[11] Brekke P, Kjeldseth-Moe O, Bartoe J D F, Brueckner G E 1991 Astrophys. J. Suppl. Ser. 75 1337
Google Scholar
[12] King S A, Spieß L J, Micke P, Wilzewski A, Leopold T, Benkler E, Lange R, Huntemann N, Surzhykov A, Yerokhin V A, López-Urrutia J R C, Schmidt P O 2022 Nature 611 43
Google Scholar
[13] Kozlov M G, Safronova M S, López-Urrutia J R C, Schmidt P O 2018 Rev. Mod. Phys. 90 045005
Google Scholar
[14] Safronova M S, Budker D, DeMille D, Kimball D F J, Derevianko A, Clark C W 2018 Rev. Mod. Phys. 90 025008
Google Scholar
[15] Edlén B 1943 Z. Astrophys. 22 30
[16] Bieber D J, Margolis H S, Oxley P K, Silver J D 1997 Phys. Scr. T73 64
Google Scholar
[17] Draganič I, López-Urrutia J R C, DuBois R, Fritzsche S, Shabaev V M, Orts R S, Tupitsyn I I, Zou Y, Ullrich J 2003 Phys. Rev. Lett. 91 183001
Google Scholar
[18] Orts R S, Harman Z, Crespo López-Urrutia J R, Artemyev A N, Bruhns H, Martínez A J G, Jentschura U D, Keitel C H, Lapierre A, Mironov V, Shabaev V M, Tawara H, Tupitsyn I I, Ullrich J, Volotka A V 2006 Phys. Rev. Lett. 97 103002
Google Scholar
[19] Mackel V, Klawitter R, Brenner G, López-Urrutia J R C, Ullrich J 2011 Phys. Rev. Lett. 107 143002
Google Scholar
[20] Micke P, Leopold T, King S A, Benkler E, Spieß L J, Schmöger L, Schwarz M, Crespo López-Urrutia J R, Schmidt P O 2020 Nature 578 60
Google Scholar
[21] Klaft I, Borneis S, Engel T, Fricke B, Grieser R, Huber G, Kühl T, Marx D, Neumann R, Schröder S, Seelig P, Völker L 1994 Phys. Rev. Lett. 73 2425
Google Scholar
[22] Lochmann M, Jöhren R, Geppert C, Andelkovic Z, Anielski D, Botermann B, Bussmann M, Dax A, Frömmgen N, Hammen M, Hannen V, Kühl T, Litvinov Y A, López-Coto R, Stöhlker T, Thompson R C, Vollbrecht J, Volotka A, Weinheimer C, Wen W, Will E, Danyal Winters, Sánchez R, Nörtershäuser W 2014 Phys. Rev. A 90 030501(R
Google Scholar
[23] Ullmann J, Andelkovic Z, Dax A, Geithner W, Geppert C, Gorges C, Hammen M, Hannen V, Kaufmann S, König K, Litvinov Y, Lochmann M, Maass B, Meisner J, Murböck T, Sánchez R, Schmidt M, Schmidt S, Steck M, Stöhlker T, Thompson R C, Vollbrecht J, Weinheimer C, Nörtershäuser W 2015 J. Phys. B: At. , Mol. Opt. Phys. 48 144022
Google Scholar
[24] Ullmann J, Andelkovic Z, Brandau C, Dax A, Geithner W, Geppert C, Gorges C, Hammen M, Hannen V, Kaufmann S, König K, Litvinov Y A, Lochmann M, Maaß B, Meisner J, Murböck T, Sánchez R, Schmidt M, Schmidt S, Steck M, Stöhlker T, Thompson R C, Trageser C, Vollbrecht o, Weinheimer C, Nörtershäuser W 2017 Nat. Commun. 8 15484
Google Scholar
[25] Crespo López-Urrutia J R, Beiersdorfer P, Savin D W, Widmann K 1996 Phys. Rev. Lett. 77 826
Google Scholar
[26] Crespo López-Urrutia J R, Beiersdorfer P, Widmann K, Birkett B B, Mårtensson-Pendrill A M, Gustavsson M G H 1998 Phys. Rev. A 57 879
Google Scholar
[27] Seelig P, Borneis S, Dax A, Engel T, Faber S, Gerlach M, Holbrow C, Huber G, Kühl T, Marx D, Meier K, Merz P, Quint W, Schmitt F, Tomaselli M, Völker L, Winter H, Würtz M, Beckert K, Franzke B, Nolden F, Reich H, Steck M, Winkler T 1998 Phys. Rev. Lett. 81 4824
Google Scholar
[28] Beiersdorfer P, Utter S B, Wong K L, López-Urrutia J R C, Britten J A, Chen H, Harris C L, Thoe R S, Thorn D B, Träbert E, Gustavsson M G H, Forssén C, Mårtensson-Pendrill A M 2001 Phys. Rev. A 64 032506
Google Scholar
[29] Beiersdorfer P, Osterheld A L, Scofield J H, J. R. Crespo López-Urrutia, Widmann K 1998 Phys. Rev. Lett. 80 3022
Google Scholar
[30] Lestinsky M, Lindroth E, Orlov D A, Schmidt E W, Schippers S, Böhm S, Brandau C, Sprenger F, Terekhov A S, Müller A, Wolf A 2008 Phys. Rev. Lett. 100 033001
Google Scholar
[31] Beiersdorfer P, Träbert E, Brown G V, Clementson J, Thorn D B, Chen M H, Cheng K T, Sapirstein J 2014 Phys. Rev. Lett. 112 233003
Google Scholar
[32] Shabaev V M, Shabaeva M B, Tupitsyn I I 1995 Phys. Rev. A 52 3686
Google Scholar
[33] Shabaev V M, Artemyev A N, Yerokhin V A, Zherebtsov O M, Soff G 2001 Phys. Rev. Lett. 86 3959
Google Scholar
[34] Volotka A V, Glazov D A, Andreev O V, Shabaev V M, Tupitsyn I I, Plunien G 2012 Phys. Rev. Lett. 108 073001
Google Scholar
[35] Karr J P 2017 Nat. Phys. 13 533
Google Scholar
[36] Nörtershäuser W, Ullmann J, Skripnikov L V, Andelkovic Z, Brandau C, Dax A, Geithner W, Geppert C, Gorges C, Hammen M, Hannen V, Kaufmann S, König K, Kraus F, Kresse B, Litvinov Y A, Lochmann M, Maaß B, Meisner J, Murböck T, Privalov A F, Sánchez R, Scheibe B, Schmidt M, Schmidt S, Shabaev V M, Steck M, Stöhlker T, Thompson R C, Trageser C, Vogel M, Vollbrecht J, Volotka A V, Weinheimer C 2019 Hyperfine Interact. 240 51
Google Scholar
[37] Skripnikov L V, Schmidt S, Ullmann J, Geppert C, Kraus F, Kresse B, Nörtershäuser W, Privalov A F, Scheibe B, Shabaev V M, Vogel M, Volotka A V 2018 Phys. Rev. Lett. 120 093001
Google Scholar
[38] Volotka A V, Glazov D A, Tupitsyn I I, Oreshkina N S, Plunien G, Shabaev V M 2008 Phys. Rev. A 78 062507
Google Scholar
[39] Glazov D A, Volotka A V, Andreev O V, Kosheleva V P, Fritzsche S, Shabaev V M, Plunien G, Stöhlker T 2019 Phys. Rev. A 99 062503
Google Scholar
[40] Verdebout S, Nazé C, Jönsson P, Rynkun P, Godefroid M, Gaigalas G 2014 At. Data Nucl. Data Tables 100 1111
Google Scholar
[41] Cheng K T, Kim Y K, Desclaux J P 1979 At. Data Nucl. Data Tables 24 111
Google Scholar
[42] Verhey T R, Das B P, Perger W F 1987 J. Phys. B: At. Mol. Opt. Phys. 20 3639
Google Scholar
[43] Safronova M S, Johnson W R, Safronova U I 1996 Phys. Rev. A 54 2850
Google Scholar
[44] Charro E, López-Ferrero S, Martín I 2001 J. Phys. B: At. Mol. Opt. Phys. 34 4243
Google Scholar
[45] Tupitsyn I I, Volotka A V, Glazov D A, Shabaev V M, Plunien G, Crespo López-Urrutia J R, Lapierre A, Ullrich J 2005 Phys. Rev. A 72 062503
Google Scholar
[46] Koc K 2005 Nucl. Instrum. Methods Phys. Res. , Sect. B 235 46
Google Scholar
[47] Volotka A, Glazov D, Plunien G, Shabaev V, Tupitsyn I 2006 Eur. Phys. J. D 38 293
Google Scholar
[48] Koc K 2009 Eur. Phys. J. D 53 9
Google Scholar
[49] Rynkun P, Jönsson P, Gaigalas G, Fischer C F 2012 At. Data Nucl. Data Tables 98 481
Google Scholar
[50] Artemyev A N, Shabaev V M, Tupitsyn I I, Piunien G 2013 Phys. Rev. A 88 032518
Google Scholar
[51] Fischer C F, Grant I P, Gaigalas G, Rynkun P 2016 Phys. Rev. A 93 022505
Google Scholar
[52] Malyshev A V, Glazov D A, Volotka A V, Tupitsyn I I, Shabaev V M, Plunien G, Stöhlker T 2017 Phys. Rev. A 96 022512
Google Scholar
[53] Bilal M, Volotka A V, Beerwerth R, Fritzsche S 2018 Phys. Rev. A 97 052506
Google Scholar
[54] Natarajan L 2021 Phys. Scr. 96 105402
Google Scholar
[55] Liu X, Zhou X P, Wen W Q, Lu Q F, Yan C L, Xu G Q, Xiao J, Volotka A V, Kozhedub Y S, Kaygorodov M Y, Huang Z K, Ma W L, Wang S X, Ma X 2021 Phys. Rev. A 104 062804
Google Scholar
[56] Hinnov E, Suckewer S, Cohen S, Sato K 1982 Phys. Rev. A 25 2293
Google Scholar
[57] Shabaev V M 1994 J. Phys. B: At. , Mol. Opt. Phys. 27 5825
Google Scholar
[58] Brandau C, Kozhuharov C, Muller A, Shi W, Schippers S, Bartsch T, Bohm S, Bohme C, Hoffknecht A, Knopp H, Grun N, Scheid W, Steih T, Bosch F, Franzke B, Mokler P H, Nolden F, Steck M, Stohlker T, Stachura Z 2003 Phys. Rev. Lett. 91 073202
Google Scholar
[59] Lindroth E, Danared H, Glans P, Pešić Z, Tokman M, Vikor G, Schuch R 2000 Phys. Rev. Lett. 86 5027
Google Scholar
[60] Wang S X, Huang Z K, Wen W Q, Ma W L, Wang H B, Schippers S, Wu Z W, Kozhedub Y S, Kaygorodov M Y, Volotka A V, Wang K, Zhang C Y, Chen C Y, Liu C, Huang H K, Shao L, Mao L J, Ma X M, Li J, Tang M T, Yan K M, Zhou Y B, Yuan Y J, Yang J C, Zhang S F, Ma X, Zhu L F 2022 Phys. Rev. A 106 042808
Google Scholar
[61] Brandau C, Kozhuharov C (Shevelko V, Tawara H Ed.) 2012 Atomic Processes in Basic and Applied Physics (Berlin, Heidelberg: Springer Berlin Heidelberg) pp283–306
[62] Huang Z K, Wen W Q, X. Xu c H B W, Dou L J, Chuai X Y, Zhu X L, Zhao D M, Li J, Ma X M, Mao L J, Yang J C, Yuan Y J, Xu W Q, Xie L Y, Xu T H, Yao K, Dong C Z, Zhu L F, Ma X 2017 Nucl. Instrum. Methods Phys. Res., Sect. A 408 135
Google Scholar
[63] Ma X, Wen W Q, Zhang S F, Yu D Y, Cheng R, Yang J, Huang Z K, Wang H B, Zhu X L, Cai X, Zhao Y T, Mao L J, Yang J C, Zhou X H, Xu H S, Yuan Y J, Xia J W, Zhao H W, Xiao G Q, Zhan W L 2017 Nucl. Instrum. Methods Phys. Res., Sect. B 408 169
Google Scholar
[64] Krantz C, Orlov D A, Bernhardt D, Brandau C, Hoffmann J, Müller A, Ricsoka T, Ricz S, Schippers S, Wolf A 2009 J. Phys. Conf. Ser. 163 012059
Google Scholar
[65] Trabert E, Beiersdorfer P, Gwinner G, Pinnington E H, Wolf A 2002 Phys. Rev. A 66 052507
Google Scholar
[66] Träbert E, Beiersdorfer P, Gwinner G, Pinnington E H, Wolf A 2003 Nucl. Instrum. Methods Phys. Res., Sect. B 205 83
Google Scholar
[67] Träbert E, Gwinner G, Wolf A, Tordoir X, Calamai A G 1999 Phys. Lett. A 264 311
Google Scholar
[68] 刘鑫, 周晓鹏, 汶伟强, 陆祺峰, 严成龙, 许帼芹, 肖君, 黄忠魁, 汪寒冰, 陈冬阳, 邵林, 袁洋, 汪书兴, 马万路, 马新文 2022 71 033201
Google Scholar
Liu X, Zhou X P, Wen W Q, Lu Q F, Yan C L, Xu GQ, Xiao J, Huang Z K, Wang H B, Chen D Y, Shao L, Yuan Y, Wang S X, Ma W L, Ma X W 2022 Acta Phys. Sin. 71 033201
Google Scholar
[69] Beiersdorfer P, Cauble R, Chantrenne S, Chen M, Knapp D, Marrs R, Phillips T, Reed K, Schneider M, Scofield J, Wong K, Vogel D, Zasadzinski R, Wargelin B, Bitter M, Goeler S V 1991 Electron-Ion Interaction Cross Sections Determined by X-ray Spectroscopy on EBIT
[70] Silver E, Schnopper H, Bandler S, Brickhouse N, Murray S, Barbera M, Takacs E, Gillaspy J D, Porto J V, Kink I 2000 Astrophys. J. 541 495
Google Scholar
[71] Kimura N, Kodama R, Suzuki K, Oishi S, Wada M, Okada K, Ohmae N, Katori H, Nakamura N 2019 Phys. Rev. A 100 052508
Google Scholar
[72] Lu D, Yang Y, Xiao J, Shen Y, Fu Y, Wei B, Yao K, Hutton R, Zou Y 2014 Rev. Sci. Instrum. 85 093301
Google Scholar
[73] Xiao J, Fei Z, Yang Y, Jin X, Lu D, Shen Y, Liljeby L, Hutton R, Zou Y 2012 Rev. Sci. Instrum. 83 013303
Google Scholar
[74] Xiao J, Zhao R, Jin X, Tu B, Yang Y, Lu D, Hutton R, Zou Y 2013 Proceedings of the 4th International Particle Accelerator Conference (IPAC2013) Shanghai, China, May 12–17, 2013 pp 434–436
[75] Liang S Y, Zhang T X, Guan H, Lu Q F, Xiao J, Chen S L, Huang Y, Zhang Y H, Li C B, Zou Y M, Li J G, Yan Z C, Derevianko A, Zhan M S, Shi T Y, Gao K L 2021 Phys. Rev. A 103 022804
Google Scholar
[76] Shaolong Chen, Zhiqiang Zhou, Jiguang Li, Tingxian Zhang, Chengbin Li, Tingyun Shi, Yao Huang, Kelin Gao, Guan H 2024 Phys. Rev. Res. 6 013030
Google Scholar
[77] Liang S, Lu Q, Wang X, Yang Y, Yao K, Shen Y, Wei B, Xiao J, Chen S, Zhou P, Sun W, Zhang Y, Huang Y, Guan H, Tong X, Li C, Zou Y, Shi T, Gao K 2019 Rev. Sci. Instrum. 90 093301
Google Scholar
[78] Zhu X L, Ma X, Li J Y, Schmidt M, Feng W T, Peng H, Xu J W, Zschornack G, Liu H P, Zhang T M, Zhao D M, Guo D L, Huang Z K, Zhou X M, Gao Y, Cheng R, Wang H B, Yang J, Kang L 2019 Nucl. Instrum. Methods Phys. Res., Sect. B 460 224
Google Scholar
[79] Morton A L, Marrs R E, Henderson J R, Knapp D A, Marilyn B S 1988 Phys. Scr. 1988 157
Google Scholar
[80] Beiersdorfer P, Britten J A, Brown G V, Chen H, Clothiaux E J, Cottam J, Förster E, Gu M F, Harris C L, Kahn S M, Lepson J K, Neill P A, Savin D W, Schulte-Schrepping H, Schweikhard L, Smith A J, Träbert E, Tschischgale J, Utter S B, Wong K L 2001 Phys. Scr. 2001 268
Google Scholar
[81] Morgan C A, Serpa F G, Takács E, Meyer E S, Gillaspy J D, Sugar J, Roberts J R, Brown C M, Feldman U 1995 Phys. Rev. Lett. 74 1716
Google Scholar
[82] Silver J D, Varney A J, Margolis H S, Baird P E G, Grant I P, Groves P D, Hallett W A, Handford A T, Hirst P J, Holmes A R, Howie D J H, Hunt R A, Nobbs K A, Roberts M, Studholme W, Wark J S, Williams M T, Levine M A, Dietrich D D, Graham W G, Williams I D, O’Neil R, Rose S J 1994 Rev. Sci. Instrum. 65 1072
Google Scholar
[83] Christoph B, Andreas F, Gerd F, Rainer R 1997 Phys. Scr. 1997 360
Google Scholar
[84] Currell F J, Asada J, Ishii K, Minoh A, Motohashi K, Nakamura N, Nishizawa K, Ohtani S, Okazaki K, Sakurai M, Shiraishi H, Tsurubuchi S, Watanabe H 1996 J. Phys. Soc. Jpn. 65 3186
Google Scholar
[85] López-Urrutia J R C, Dorn A, Moshammer R, Ullrich J 1999 Phys. Scr. 1999 502
Google Scholar
[86] Mianhong H, Yong L, Yang Y, Shimin W, Weidong C, Wei H, Panlin G, Di L, Yunqing F, Min H, Xuemei Z, Roger H, Leif L, Yaming Z 2007 J. Phys. Conf. Ser. 58 419
Google Scholar
[87] Schuch R, Tashenov S, Orban I, Hobein M, Mahmood S, Kamalou O, Akram N, Safdar A, Skog P, Solders A, Zhang H 2010 J. Instrum. 5 C12018
Google Scholar
[88] Dilling J, Baartman R, Bricault P, Brodeur M, Blomeley L, Buchinger F, Crawford J, Crespo López-Urrutia J R, Delheij P, Froese M, Gwinner G P, Ke Z, Lee J K P, Moore R B, Ryjkov V, Sikler G, Smith M, Ullrich J, Vaz J 2006 Int. J. Mass Spectrom. 251 198
Google Scholar
[89] Nakamura N, Kikuchi H, Sakaue H A, Watanabe T 2008 Rev. Sci. Instrum. 79 063104
Google Scholar
[90] Micke P, Kühn S, Buchauer L, Harries J R, Bücking T M, Blaum K, Cieluch A, Egl A, D. Hollain, Kraemer S, Pfeifer T, Schmidt P O, Schüssler R X, Schweiger C, Stöhlker T, Sturm S, Wolf R N, Bernitt S, López-Urrutia J R C 2018 Rev. Sci. Instrum. 89 063109
Google Scholar
[91] Träbert E, Beiersdorfer P, Utter S, Brown G, Chen H, Harris C, Neill P, Savin D, Smith A 2000 Astrophys. J. 541 506
Google Scholar
[92] Lapierre A, López-Urrutia J R C, Braun J, Brenner G, Bruhns H, Fischer D, Martínez A J G, V. Mironov C O, Sikler G, Orts R S, Tawara H, Ullrich J, V. M. Shabaev, Tupitsyn I I, Volotka A 2006 Phys. Rev. A 73 052507
Google Scholar
[93] Mäckel V 2010 (der Ruprecht-Karls-Universität Heidelberg
[94] Schmöger L, Versolato O O, Schwarz M, Kohnen M, Windberger A, Piest B, Feuchtenbeiner S, Pedregosa-Gutierrez J, Leopold T, Micke P, Hansen A K, Baumann T M, Drewsen M, Ullrich J, Schmidt P O, López-Urrutia J R C 2015 Science 347 1233
Google Scholar
[95] Schmidt P O, Rosenband T, Langer C, Itano W M, Bergquist J C, Wineland D J 2005 Science 309 749
Google Scholar
[96] Zubova N A, Malyshev A V, Tupitsyn I I, Shabaev V M, Kozhedub Y S, Plunien G, Brandau C, Stöhlker T 2016 Phys. Rev. A 93 052502
Google Scholar
[97] Li W, Grumer J, Brage T, Jönsson P 2020 Comput. Phys. Commun. 253 107211
Google Scholar
-
图 1 类硼离子结构示意图(以核自旋为1/2的类硼离子为例)
Fig. 1. Schematic structure of boron like ions (Take the example of a boron like ion with a nuclear spin of 1/2).
图 2 (a) 通过QED从头计算的类硼离子2P3/2—2P1/2禁戒跃迁能量的结果与实验结果和MCDF计算结果的对比(QED从头计算[50]; MCDF[54]; 实验结果[6,12,55,56]); (b) Z < 45的放大图
Fig. 2. (a) Comparison of the results of the forbidden transition energies of the boron-like ions 2P3/2—2P1/2 calculated by ab initio with experimental and MCDF calculations results (ab initio[50]; MCDF[54]; experimental results[6,12,55,56]); (b) enlarged view of Z < 45.
图 3 兰州重离子储存环示意图, 包括ECR离子源、扇聚焦回旋加速器(SFC)、大型分离扇回旋加速器(SSC)、SSC直线注入器(SSC Linac)、冷却储存环主环(CSRm)和实验环(CSRe)[62]
Fig. 3. Schematic diagram of the heavy ion storage ring in Lanzhou, includes the ECR ion source, the sector focusing cyclotron (SFC), the large separating sector cyclotron (SSC), the SSC linear injector (SSC Linac), the CSRm and the CSRe[62].
图 5 (a) 德国马克斯-普朗克研究所的激光精密谱学实验装置[93]. 蓝色激光束通过反射镜从EBIT的收集极进入EBIT的中心漂移管, 与高电荷态离子相互作用; (b) Ar13+离子的激光结合精密谱学实验原理图[19]
Fig. 5. (a) Laser Precision Spectroscopy Experimental Setup in Max Planck Institute of Germany[93]. The blue laser beam passes through a reflector from the collection pole of the EBIT into the central drift tube of the EBIT, where it interacts with highly charged state ions; (b) principle Diagram of Laser-Combined Precision Spectroscopy Experiment for Ar13+ ion[19].
图 6 (a) 实验装置示意图, 包括一个作为 HCI 生产场所的 EBIT、一条用于减速和减少 HCI 串能量扩散的光束线、一个具有外部离子注入功能的低温保罗阱(用于存储 HCI 并将其协同冷却至毫开尔文状态)以及一个用于在313 nm处对Be+冷却剂离子进行激光诱导荧光检测的成像系统[94]; (b) 离子引出过程中漂移管电压变化示意图[94]
Fig. 6. (a) Illustration of experimental setup consisting of an EBIT as HCI production site, a beamline for deceleration and reduction of energy spread of HCI bunches, a cryogenic Paul trap with external ion injection capabilities for HCI storage and sympathetic cooling to the millikelvin regime, and an imaging system for laser-induced fluorescence detection of the Be+ coolant ions at 313 nm[94]; (b) schematic of the drift tube voltage change during ion elicitation[94].
图 7 制备双离子晶体的时间序列, 从上到下依次为, 由 50—100 个荧光 9Be+ 离子组成的激光冷却库仑晶体被限制在保罗阱中. 单个Ar13+离子沿晶体轴线注入, 共冷却, 最后与9Be+共晶体化. 由于高电荷状态对9Be+的排斥作用, 它呈现为一个巨大的暗空洞. 在没有激光冷却的情况下, 多余的9Be+离子通过调节Paul阱射频电势, 从而减少多余的离子. 最后, 制备出Ar13+-9Be+双离子晶体[20]
Fig. 7. Time sequence of HCI recapture and two-ion crystal preparation. In order from top to bottom, a laser-cooled Coulomb crystal of 50–100 fluorescing 9Be+ ions is confined in the Paul trap. A single Ar13+ ion is injected along the crystal axis, sympathetically cooled and finally co-crystallized with 9Be+. It appears as a large dark void owing to the repulsion of the 9Be+ by the high charge state. Excess 9Be+ ions are removed by modulating the Paul trap radio-frequency potential in the absence of laser cooling, resulting in heating and ion losses. Finally, the Ar13+-9Be+ two-ion crystal is prepared[20].
图 8 两个时钟激光器(Ar13+和171Yb+)分别锁定在自己的本地腔体和频率梳上进行预稳定, 并通过数字控制环路最终转向相应的光学转换. 两个频率梳锁定在异常稳定的低温硅腔上. 通过这种方法, 每个光频梳可以获得其时钟激光器与稳定激光器之间的频率比[12]
Fig. 8. Each of the two clock lasers (Ar13+ and 171Yb+) is locked for pre-stabilization to its own local cavity and frequency comb, and ultimately steered to the corresponding optical transition by a digital control loop. The two frequency combs are locked to the exceptionally stable cryogenic silicon cavity Si2. This method yields for each comb the frequency ratio between its clock laser and the Si2-stabilized laser. The dedicated laboratories are linked through phase-stabilized optical fibres[12].
图 9 类硼离子16≤Z≤29的计算结果与实验测量结果的比较[55], 图中0处的黑色基线表示Edlén[6]与自己结果的$ \Delta E $, 蓝色
Fig. 9. Comparison of calculated results with experimental measurements for the boron-like ions 16 ≤ Z ≤ 29[55], where the black baseline at 0 denotes the ∆E of Edlén[6] versus its own results, the blue box (
图 10 部分适合光学波段测量的类硼离子基态超精细分裂模拟光谱图, 图中给出了模拟光谱的分辨率. 每条线代表F (2P2/3)→F' (2P1/2)跃迁线
Fig. 10. Simulation of the ground-state hyperfine splitting spectra of some boron-like ions, with the resolution of the corresponding simulated spectra shown. Each line represents the F (2P2/3)→F' (2P1/2) transition line.
表 1 已有EBIT的主要参数
Table 1. Main parameters of available EBIT.
名称 年份 国家 能量/keV 束流/mA/ 磁场/T 参考文献 Super EBIT 1986 美国 10—200 150 3 [79] EBIT-II 1993 美国 30 200 3 [80] NIST EBIT 1993 美国 33 200 3 [81] Oxford EBIT 1993 英国 0.7—50 200 2.8 [82] Berlin EBIT 1997 德国 40 200 3 [83] Tokyo EBIT 1996 日本 180 330 5 [84] Heidelberg EBIT 2000 德国 100 535 8 [85] Shanghai EBIT 2005 中国 130 160 5 [86] Stockholm EBIT 2007 瑞典 27 150 3 [87] TITAN EBIT 2007 加拿大 27 500 [88] CoBIT 2008 日本 0.1—1 10 0.2 [89] SH-PermEBIT 2012 中国 0.06—5 10.2 0.48 [73] SH-HtscEBIT 2013 中国 0.03—4 10 0.25 [74] HC-EBIT 2018 德国 10 80 0.86 [90] SW-EBIT 2019 中国 0.03—4 9 0.21 [77] 
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表 2 目前已经报道的类硼离子基态精细结构分裂2P3/2—2P1/2实验测量结果, 其中括号中的数字表示跃迁能量的不确定度
Table 2. Experimental measurements of the boron-like ion ground-state fine-structure splitting 2P3/2—2P1/2 that have been reported so far, where the numbers in parentheses indicate the uncertainties in the transition energies.
离子 跃迁能量/eV 参考文献 离子 跃迁能量/eV 参考文献 N2+ 0.02157(13) [6] 40Ar13+ 2.8090135821306312(5) [12] O3+ 0.04786(13) [6] 36Ar13+ 2.8090058148895724(5) [12] F4+ 0.0924(4) [6] K14+ 3.5963(31) [6] Ne5+ 0.1623(5) [6] Ca15+ 4.5397(37) [6] Na6+ 0.2652(8) [6] Sc16+ 5.6583(4) [6] Mg7+ 0.4094(3) [6] Ti17+ 6.9732(4) [56] Al8+ 0.6063(13) [6] V18+ 8.5061(50) [6] Si9+ 0.8665(3) [6] Cr19+ 10.2815(17) [56] P10+ 1.202(2) [6] Mn20+ 12.3100(12) [6] S11+ 1.628860(6) [55] Fe21+ 14.6640(35) [56] Cl12+ 2.158835(10) [55] Ni23+ 20.3286(68) [56] Cu24+ 23.7154(93) [56]
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表 3 已有的高电荷态离子的超精细分裂实验测量结果
Table 3. Existing experimental measurements of hyperfine splitting of highly charged ions.
离子 精度 类型 年份 实验装置 跃迁能级 结果 209Bi82+ 1.6×10–4 类氢 1994 ESR (1s1/2)F=4, 5 243.87(4) nm[21] 165Ho66+ 2.6×10–4 类氢 1996 SuperEBIT (1s1/2) F=3, 4 572.61(15) nm[25] 185Re74+
187Re74+6.6×10–4 类氢 1998 SuperEBIT (1s1/2)F=2, 3 456.05(30) nm[26]
451.69(30) nm[26]209Bi80+ 3.1×10–2 类锂 1998 SuperEBIT (1s22s1/2)F=4, 5 0.820(26) eV[29] 207Pb81+ 1.9×10–4 类氢 1998 ESR (1s1/2)F=0, 1 1019.7(2) nm[27] 203Tl80+ 8.9×10–5 类氢 2001 SuperEBIT (1s1/2)F=0, 1 385.822(30) nm[28] 205Tl80+ 382.184(34) nm[28] Sc18+ 1.3×10–2 类锂 2008 ESR (1s22s1/2)F=3, 4 0.00620(8) eV[30] 141Pr56+ 6.1×10–3 类锂 2014 SuperEBIT (1s22s1/2)F=2, 3 0.1965(12) eV[31] 1.7×10–2 (1s22p1/2)F=2, 3 0.0640(11) eV[31] 141Pr55+ 9.4×10–3 类铍 (1s22s1/22p1/2)F=5/2, 7/2 0.1494(14) eV[31] 1.8×10–2 (1s22s1/22p1/2)F=3/2, 5/2 0.1033(19) eV[31] 7.1×10–3 (1s22s1/22p1/2)F=3/2, 7/2 0.2531(18) eV[31] 209Bi82+ 2.1×10–4 类氢 2014 ESR (1s1/2)F=4, 5 5.0863(11) eV[22] 209Bi80+ 2.3×10–4 类锂 (1s22s1/2)F=4, 5 0.79750(18) eV[22] 209Bi82+ 2.4×10–5 类氢 2015 ESR (1s1/2)F=4, 5 243.821(6) nm[23] 209Bi82+ 1.7×10–5 类氢 2017 ESR (1s1/2)F=4, 5 243.8221(8)(43) nm[24] 209Bi80+ 9.0×10–6 类锂 (1s22s1/2)F=4, 5 1554.377(4)(14) nm[24]
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[1] Beyer H F, Shevelko V P 2003 Introduction to the Physics of Highly Charged Ions (Institute of Physics Publishing, wholly owned by The Institute of Physics, London: IOP Publishing Ltd
[2] Indelicato P 2019 J. Phys. B: At. , Mol. Opt. Phys. 52 232001
Google Scholar
[3] Nörtershäuser W 2011 Hyperfine Interact. 199 131
Google Scholar
[4] Fawcett B C, Gabriel A H, Paget T M 1971 J. Phys. B: At. , Mol. Opt. Phys. 4 986
Google Scholar
[5] Audard M, Behar E, Güdel M, Raassen A J J, Porquet D, Mewe R, Foley C R, Bromage G E 2001 Astron. Astrophys. 365 L329
Google Scholar
[6] Edlén B 1983 Phys. Scr. 28 483
Google Scholar
[7] Flower D, Nussbaumer H 1975 Astron. Astrophys. 45 349
[8] Sugar J, Kaufman V, Cooper D 1982 Phys. Scr. 26 293
Google Scholar
[9] Wang W, Liu X W, Zhang Y, Barlow M 2004 Astron. Astrophys. 427 873
Google Scholar
[10] Stencel R E, Linsky J L, Brown A, Jordan C, Carpenter K G, Wing R F, Czyzak S 1981 Mon. Not. R. Astron. Soc. 196 47P
Google Scholar
[11] Brekke P, Kjeldseth-Moe O, Bartoe J D F, Brueckner G E 1991 Astrophys. J. Suppl. Ser. 75 1337
Google Scholar
[12] King S A, Spieß L J, Micke P, Wilzewski A, Leopold T, Benkler E, Lange R, Huntemann N, Surzhykov A, Yerokhin V A, López-Urrutia J R C, Schmidt P O 2022 Nature 611 43
Google Scholar
[13] Kozlov M G, Safronova M S, López-Urrutia J R C, Schmidt P O 2018 Rev. Mod. Phys. 90 045005
Google Scholar
[14] Safronova M S, Budker D, DeMille D, Kimball D F J, Derevianko A, Clark C W 2018 Rev. Mod. Phys. 90 025008
Google Scholar
[15] Edlén B 1943 Z. Astrophys. 22 30
[16] Bieber D J, Margolis H S, Oxley P K, Silver J D 1997 Phys. Scr. T73 64
Google Scholar
[17] Draganič I, López-Urrutia J R C, DuBois R, Fritzsche S, Shabaev V M, Orts R S, Tupitsyn I I, Zou Y, Ullrich J 2003 Phys. Rev. Lett. 91 183001
Google Scholar
[18] Orts R S, Harman Z, Crespo López-Urrutia J R, Artemyev A N, Bruhns H, Martínez A J G, Jentschura U D, Keitel C H, Lapierre A, Mironov V, Shabaev V M, Tawara H, Tupitsyn I I, Ullrich J, Volotka A V 2006 Phys. Rev. Lett. 97 103002
Google Scholar
[19] Mackel V, Klawitter R, Brenner G, López-Urrutia J R C, Ullrich J 2011 Phys. Rev. Lett. 107 143002
Google Scholar
[20] Micke P, Leopold T, King S A, Benkler E, Spieß L J, Schmöger L, Schwarz M, Crespo López-Urrutia J R, Schmidt P O 2020 Nature 578 60
Google Scholar
[21] Klaft I, Borneis S, Engel T, Fricke B, Grieser R, Huber G, Kühl T, Marx D, Neumann R, Schröder S, Seelig P, Völker L 1994 Phys. Rev. Lett. 73 2425
Google Scholar
[22] Lochmann M, Jöhren R, Geppert C, Andelkovic Z, Anielski D, Botermann B, Bussmann M, Dax A, Frömmgen N, Hammen M, Hannen V, Kühl T, Litvinov Y A, López-Coto R, Stöhlker T, Thompson R C, Vollbrecht J, Volotka A, Weinheimer C, Wen W, Will E, Danyal Winters, Sánchez R, Nörtershäuser W 2014 Phys. Rev. A 90 030501(R
Google Scholar
[23] Ullmann J, Andelkovic Z, Dax A, Geithner W, Geppert C, Gorges C, Hammen M, Hannen V, Kaufmann S, König K, Litvinov Y, Lochmann M, Maass B, Meisner J, Murböck T, Sánchez R, Schmidt M, Schmidt S, Steck M, Stöhlker T, Thompson R C, Vollbrecht J, Weinheimer C, Nörtershäuser W 2015 J. Phys. B: At. , Mol. Opt. Phys. 48 144022
Google Scholar
[24] Ullmann J, Andelkovic Z, Brandau C, Dax A, Geithner W, Geppert C, Gorges C, Hammen M, Hannen V, Kaufmann S, König K, Litvinov Y A, Lochmann M, Maaß B, Meisner J, Murböck T, Sánchez R, Schmidt M, Schmidt S, Steck M, Stöhlker T, Thompson R C, Trageser C, Vollbrecht o, Weinheimer C, Nörtershäuser W 2017 Nat. Commun. 8 15484
Google Scholar
[25] Crespo López-Urrutia J R, Beiersdorfer P, Savin D W, Widmann K 1996 Phys. Rev. Lett. 77 826
Google Scholar
[26] Crespo López-Urrutia J R, Beiersdorfer P, Widmann K, Birkett B B, Mårtensson-Pendrill A M, Gustavsson M G H 1998 Phys. Rev. A 57 879
Google Scholar
[27] Seelig P, Borneis S, Dax A, Engel T, Faber S, Gerlach M, Holbrow C, Huber G, Kühl T, Marx D, Meier K, Merz P, Quint W, Schmitt F, Tomaselli M, Völker L, Winter H, Würtz M, Beckert K, Franzke B, Nolden F, Reich H, Steck M, Winkler T 1998 Phys. Rev. Lett. 81 4824
Google Scholar
[28] Beiersdorfer P, Utter S B, Wong K L, López-Urrutia J R C, Britten J A, Chen H, Harris C L, Thoe R S, Thorn D B, Träbert E, Gustavsson M G H, Forssén C, Mårtensson-Pendrill A M 2001 Phys. Rev. A 64 032506
Google Scholar
[29] Beiersdorfer P, Osterheld A L, Scofield J H, J. R. Crespo López-Urrutia, Widmann K 1998 Phys. Rev. Lett. 80 3022
Google Scholar
[30] Lestinsky M, Lindroth E, Orlov D A, Schmidt E W, Schippers S, Böhm S, Brandau C, Sprenger F, Terekhov A S, Müller A, Wolf A 2008 Phys. Rev. Lett. 100 033001
Google Scholar
[31] Beiersdorfer P, Träbert E, Brown G V, Clementson J, Thorn D B, Chen M H, Cheng K T, Sapirstein J 2014 Phys. Rev. Lett. 112 233003
Google Scholar
[32] Shabaev V M, Shabaeva M B, Tupitsyn I I 1995 Phys. Rev. A 52 3686
Google Scholar
[33] Shabaev V M, Artemyev A N, Yerokhin V A, Zherebtsov O M, Soff G 2001 Phys. Rev. Lett. 86 3959
Google Scholar
[34] Volotka A V, Glazov D A, Andreev O V, Shabaev V M, Tupitsyn I I, Plunien G 2012 Phys. Rev. Lett. 108 073001
Google Scholar
[35] Karr J P 2017 Nat. Phys. 13 533
Google Scholar
[36] Nörtershäuser W, Ullmann J, Skripnikov L V, Andelkovic Z, Brandau C, Dax A, Geithner W, Geppert C, Gorges C, Hammen M, Hannen V, Kaufmann S, König K, Kraus F, Kresse B, Litvinov Y A, Lochmann M, Maaß B, Meisner J, Murböck T, Privalov A F, Sánchez R, Scheibe B, Schmidt M, Schmidt S, Shabaev V M, Steck M, Stöhlker T, Thompson R C, Trageser C, Vogel M, Vollbrecht J, Volotka A V, Weinheimer C 2019 Hyperfine Interact. 240 51
Google Scholar
[37] Skripnikov L V, Schmidt S, Ullmann J, Geppert C, Kraus F, Kresse B, Nörtershäuser W, Privalov A F, Scheibe B, Shabaev V M, Vogel M, Volotka A V 2018 Phys. Rev. Lett. 120 093001
Google Scholar
[38] Volotka A V, Glazov D A, Tupitsyn I I, Oreshkina N S, Plunien G, Shabaev V M 2008 Phys. Rev. A 78 062507
Google Scholar
[39] Glazov D A, Volotka A V, Andreev O V, Kosheleva V P, Fritzsche S, Shabaev V M, Plunien G, Stöhlker T 2019 Phys. Rev. A 99 062503
Google Scholar
[40] Verdebout S, Nazé C, Jönsson P, Rynkun P, Godefroid M, Gaigalas G 2014 At. Data Nucl. Data Tables 100 1111
Google Scholar
[41] Cheng K T, Kim Y K, Desclaux J P 1979 At. Data Nucl. Data Tables 24 111
Google Scholar
[42] Verhey T R, Das B P, Perger W F 1987 J. Phys. B: At. Mol. Opt. Phys. 20 3639
Google Scholar
[43] Safronova M S, Johnson W R, Safronova U I 1996 Phys. Rev. A 54 2850
Google Scholar
[44] Charro E, López-Ferrero S, Martín I 2001 J. Phys. B: At. Mol. Opt. Phys. 34 4243
Google Scholar
[45] Tupitsyn I I, Volotka A V, Glazov D A, Shabaev V M, Plunien G, Crespo López-Urrutia J R, Lapierre A, Ullrich J 2005 Phys. Rev. A 72 062503
Google Scholar
[46] Koc K 2005 Nucl. Instrum. Methods Phys. Res. , Sect. B 235 46
Google Scholar
[47] Volotka A, Glazov D, Plunien G, Shabaev V, Tupitsyn I 2006 Eur. Phys. J. D 38 293
Google Scholar
[48] Koc K 2009 Eur. Phys. J. D 53 9
Google Scholar
[49] Rynkun P, Jönsson P, Gaigalas G, Fischer C F 2012 At. Data Nucl. Data Tables 98 481
Google Scholar
[50] Artemyev A N, Shabaev V M, Tupitsyn I I, Piunien G 2013 Phys. Rev. A 88 032518
Google Scholar
[51] Fischer C F, Grant I P, Gaigalas G, Rynkun P 2016 Phys. Rev. A 93 022505
Google Scholar
[52] Malyshev A V, Glazov D A, Volotka A V, Tupitsyn I I, Shabaev V M, Plunien G, Stöhlker T 2017 Phys. Rev. A 96 022512
Google Scholar
[53] Bilal M, Volotka A V, Beerwerth R, Fritzsche S 2018 Phys. Rev. A 97 052506
Google Scholar
[54] Natarajan L 2021 Phys. Scr. 96 105402
Google Scholar
[55] Liu X, Zhou X P, Wen W Q, Lu Q F, Yan C L, Xu G Q, Xiao J, Volotka A V, Kozhedub Y S, Kaygorodov M Y, Huang Z K, Ma W L, Wang S X, Ma X 2021 Phys. Rev. A 104 062804
Google Scholar
[56] Hinnov E, Suckewer S, Cohen S, Sato K 1982 Phys. Rev. A 25 2293
Google Scholar
[57] Shabaev V M 1994 J. Phys. B: At. , Mol. Opt. Phys. 27 5825
Google Scholar
[58] Brandau C, Kozhuharov C, Muller A, Shi W, Schippers S, Bartsch T, Bohm S, Bohme C, Hoffknecht A, Knopp H, Grun N, Scheid W, Steih T, Bosch F, Franzke B, Mokler P H, Nolden F, Steck M, Stohlker T, Stachura Z 2003 Phys. Rev. Lett. 91 073202
Google Scholar
[59] Lindroth E, Danared H, Glans P, Pešić Z, Tokman M, Vikor G, Schuch R 2000 Phys. Rev. Lett. 86 5027
Google Scholar
[60] Wang S X, Huang Z K, Wen W Q, Ma W L, Wang H B, Schippers S, Wu Z W, Kozhedub Y S, Kaygorodov M Y, Volotka A V, Wang K, Zhang C Y, Chen C Y, Liu C, Huang H K, Shao L, Mao L J, Ma X M, Li J, Tang M T, Yan K M, Zhou Y B, Yuan Y J, Yang J C, Zhang S F, Ma X, Zhu L F 2022 Phys. Rev. A 106 042808
Google Scholar
[61] Brandau C, Kozhuharov C (Shevelko V, Tawara H Ed.) 2012 Atomic Processes in Basic and Applied Physics (Berlin, Heidelberg: Springer Berlin Heidelberg) pp283–306
[62] Huang Z K, Wen W Q, X. Xu c H B W, Dou L J, Chuai X Y, Zhu X L, Zhao D M, Li J, Ma X M, Mao L J, Yang J C, Yuan Y J, Xu W Q, Xie L Y, Xu T H, Yao K, Dong C Z, Zhu L F, Ma X 2017 Nucl. Instrum. Methods Phys. Res., Sect. A 408 135
Google Scholar
[63] Ma X, Wen W Q, Zhang S F, Yu D Y, Cheng R, Yang J, Huang Z K, Wang H B, Zhu X L, Cai X, Zhao Y T, Mao L J, Yang J C, Zhou X H, Xu H S, Yuan Y J, Xia J W, Zhao H W, Xiao G Q, Zhan W L 2017 Nucl. Instrum. Methods Phys. Res., Sect. B 408 169
Google Scholar
[64] Krantz C, Orlov D A, Bernhardt D, Brandau C, Hoffmann J, Müller A, Ricsoka T, Ricz S, Schippers S, Wolf A 2009 J. Phys. Conf. Ser. 163 012059
Google Scholar
[65] Trabert E, Beiersdorfer P, Gwinner G, Pinnington E H, Wolf A 2002 Phys. Rev. A 66 052507
Google Scholar
[66] Träbert E, Beiersdorfer P, Gwinner G, Pinnington E H, Wolf A 2003 Nucl. Instrum. Methods Phys. Res., Sect. B 205 83
Google Scholar
[67] Träbert E, Gwinner G, Wolf A, Tordoir X, Calamai A G 1999 Phys. Lett. A 264 311
Google Scholar
[68] 刘鑫, 周晓鹏, 汶伟强, 陆祺峰, 严成龙, 许帼芹, 肖君, 黄忠魁, 汪寒冰, 陈冬阳, 邵林, 袁洋, 汪书兴, 马万路, 马新文 2022 71 033201
Google Scholar
Liu X, Zhou X P, Wen W Q, Lu Q F, Yan C L, Xu GQ, Xiao J, Huang Z K, Wang H B, Chen D Y, Shao L, Yuan Y, Wang S X, Ma W L, Ma X W 2022 Acta Phys. Sin. 71 033201
Google Scholar
[69] Beiersdorfer P, Cauble R, Chantrenne S, Chen M, Knapp D, Marrs R, Phillips T, Reed K, Schneider M, Scofield J, Wong K, Vogel D, Zasadzinski R, Wargelin B, Bitter M, Goeler S V 1991 Electron-Ion Interaction Cross Sections Determined by X-ray Spectroscopy on EBIT
[70] Silver E, Schnopper H, Bandler S, Brickhouse N, Murray S, Barbera M, Takacs E, Gillaspy J D, Porto J V, Kink I 2000 Astrophys. J. 541 495
Google Scholar
[71] Kimura N, Kodama R, Suzuki K, Oishi S, Wada M, Okada K, Ohmae N, Katori H, Nakamura N 2019 Phys. Rev. A 100 052508
Google Scholar
[72] Lu D, Yang Y, Xiao J, Shen Y, Fu Y, Wei B, Yao K, Hutton R, Zou Y 2014 Rev. Sci. Instrum. 85 093301
Google Scholar
[73] Xiao J, Fei Z, Yang Y, Jin X, Lu D, Shen Y, Liljeby L, Hutton R, Zou Y 2012 Rev. Sci. Instrum. 83 013303
Google Scholar
[74] Xiao J, Zhao R, Jin X, Tu B, Yang Y, Lu D, Hutton R, Zou Y 2013 Proceedings of the 4th International Particle Accelerator Conference (IPAC2013) Shanghai, China, May 12–17, 2013 pp 434–436
[75] Liang S Y, Zhang T X, Guan H, Lu Q F, Xiao J, Chen S L, Huang Y, Zhang Y H, Li C B, Zou Y M, Li J G, Yan Z C, Derevianko A, Zhan M S, Shi T Y, Gao K L 2021 Phys. Rev. A 103 022804
Google Scholar
[76] Shaolong Chen, Zhiqiang Zhou, Jiguang Li, Tingxian Zhang, Chengbin Li, Tingyun Shi, Yao Huang, Kelin Gao, Guan H 2024 Phys. Rev. Res. 6 013030
Google Scholar
[77] Liang S, Lu Q, Wang X, Yang Y, Yao K, Shen Y, Wei B, Xiao J, Chen S, Zhou P, Sun W, Zhang Y, Huang Y, Guan H, Tong X, Li C, Zou Y, Shi T, Gao K 2019 Rev. Sci. Instrum. 90 093301
Google Scholar
[78] Zhu X L, Ma X, Li J Y, Schmidt M, Feng W T, Peng H, Xu J W, Zschornack G, Liu H P, Zhang T M, Zhao D M, Guo D L, Huang Z K, Zhou X M, Gao Y, Cheng R, Wang H B, Yang J, Kang L 2019 Nucl. Instrum. Methods Phys. Res., Sect. B 460 224
Google Scholar
[79] Morton A L, Marrs R E, Henderson J R, Knapp D A, Marilyn B S 1988 Phys. Scr. 1988 157
Google Scholar
[80] Beiersdorfer P, Britten J A, Brown G V, Chen H, Clothiaux E J, Cottam J, Förster E, Gu M F, Harris C L, Kahn S M, Lepson J K, Neill P A, Savin D W, Schulte-Schrepping H, Schweikhard L, Smith A J, Träbert E, Tschischgale J, Utter S B, Wong K L 2001 Phys. Scr. 2001 268
Google Scholar
[81] Morgan C A, Serpa F G, Takács E, Meyer E S, Gillaspy J D, Sugar J, Roberts J R, Brown C M, Feldman U 1995 Phys. Rev. Lett. 74 1716
Google Scholar
[82] Silver J D, Varney A J, Margolis H S, Baird P E G, Grant I P, Groves P D, Hallett W A, Handford A T, Hirst P J, Holmes A R, Howie D J H, Hunt R A, Nobbs K A, Roberts M, Studholme W, Wark J S, Williams M T, Levine M A, Dietrich D D, Graham W G, Williams I D, O’Neil R, Rose S J 1994 Rev. Sci. Instrum. 65 1072
Google Scholar
[83] Christoph B, Andreas F, Gerd F, Rainer R 1997 Phys. Scr. 1997 360
Google Scholar
[84] Currell F J, Asada J, Ishii K, Minoh A, Motohashi K, Nakamura N, Nishizawa K, Ohtani S, Okazaki K, Sakurai M, Shiraishi H, Tsurubuchi S, Watanabe H 1996 J. Phys. Soc. Jpn. 65 3186
Google Scholar
[85] López-Urrutia J R C, Dorn A, Moshammer R, Ullrich J 1999 Phys. Scr. 1999 502
Google Scholar
[86] Mianhong H, Yong L, Yang Y, Shimin W, Weidong C, Wei H, Panlin G, Di L, Yunqing F, Min H, Xuemei Z, Roger H, Leif L, Yaming Z 2007 J. Phys. Conf. Ser. 58 419
Google Scholar
[87] Schuch R, Tashenov S, Orban I, Hobein M, Mahmood S, Kamalou O, Akram N, Safdar A, Skog P, Solders A, Zhang H 2010 J. Instrum. 5 C12018
Google Scholar
[88] Dilling J, Baartman R, Bricault P, Brodeur M, Blomeley L, Buchinger F, Crawford J, Crespo López-Urrutia J R, Delheij P, Froese M, Gwinner G P, Ke Z, Lee J K P, Moore R B, Ryjkov V, Sikler G, Smith M, Ullrich J, Vaz J 2006 Int. J. Mass Spectrom. 251 198
Google Scholar
[89] Nakamura N, Kikuchi H, Sakaue H A, Watanabe T 2008 Rev. Sci. Instrum. 79 063104
Google Scholar
[90] Micke P, Kühn S, Buchauer L, Harries J R, Bücking T M, Blaum K, Cieluch A, Egl A, D. Hollain, Kraemer S, Pfeifer T, Schmidt P O, Schüssler R X, Schweiger C, Stöhlker T, Sturm S, Wolf R N, Bernitt S, López-Urrutia J R C 2018 Rev. Sci. Instrum. 89 063109
Google Scholar
[91] Träbert E, Beiersdorfer P, Utter S, Brown G, Chen H, Harris C, Neill P, Savin D, Smith A 2000 Astrophys. J. 541 506
Google Scholar
[92] Lapierre A, López-Urrutia J R C, Braun J, Brenner G, Bruhns H, Fischer D, Martínez A J G, V. Mironov C O, Sikler G, Orts R S, Tawara H, Ullrich J, V. M. Shabaev, Tupitsyn I I, Volotka A 2006 Phys. Rev. A 73 052507
Google Scholar
[93] Mäckel V 2010 (der Ruprecht-Karls-Universität Heidelberg
[94] Schmöger L, Versolato O O, Schwarz M, Kohnen M, Windberger A, Piest B, Feuchtenbeiner S, Pedregosa-Gutierrez J, Leopold T, Micke P, Hansen A K, Baumann T M, Drewsen M, Ullrich J, Schmidt P O, López-Urrutia J R C 2015 Science 347 1233
Google Scholar
[95] Schmidt P O, Rosenband T, Langer C, Itano W M, Bergquist J C, Wineland D J 2005 Science 309 749
Google Scholar
[96] Zubova N A, Malyshev A V, Tupitsyn I I, Shabaev V M, Kozhedub Y S, Plunien G, Brandau C, Stöhlker T 2016 Phys. Rev. A 93 052502
Google Scholar
[97] Li W, Grumer J, Brage T, Jönsson P 2020 Comput. Phys. Commun. 253 107211
Google Scholar
-
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