Prediction of Ig,6d3/2 →Ig,7p1/2, Ig,7s1/2 →Ig,7p1/2 and Ig,7p1/2 →Im,7s1/2 transition frequencies in 229Th3+ ion

doi:10.1088/1674-1056/ae0016

中国物理B ›› 2026, Vol. 35 ›› Issue (2): 23701-023701.doi: 10.1088/1674-1056/ae0016

Prediction of I_g,6d_3/2 →I_g,7p_1/2, I_g,7s_1/2 →I_g,7p_1/2 and I_g,7p_1/2 →I_m,7s_1/2 transition frequencies in ²²⁹Th³⁺ ion

Shi-Cheng Yu(余师成)^1,2, Cheng-Bin Li(李承斌)^1,†, and Lei She(佘磊)^1,3,‡

1 Key Laboratory of Atomic Frequency Standards, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China;
2 University of Chinese Academy of Sciences, Beijing 100049, China;
3 Wuhan Institute of Quantum Technology, Wuhan 430206, China

收稿日期:2025-05-26 修回日期:2025-08-14 接受日期:2025-08-28 发布日期:2026-01-27
通讯作者: Cheng-Bin Li, Lei She E-mail:cbli@apm.ac.cn;shelei@apm.ac.cn
基金资助:
This work was supported by the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDB0920403) and the National Key Research and Development Program of China (Grant No. 2022YFB3904002).

Prediction of I_g,6d_3/2 →I_g,7p_1/2, I_g,7s_1/2 →I_g,7p_1/2 and I_g,7p_1/2 →I_m,7s_1/2 transition frequencies in ²²⁹Th³⁺ ion

Shi-Cheng Yu(余师成)^1,2, Cheng-Bin Li(李承斌)^1,†, and Lei She(佘磊)^1,3,‡

1 Key Laboratory of Atomic Frequency Standards, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China;
2 University of Chinese Academy of Sciences, Beijing 100049, China;
3 Wuhan Institute of Quantum Technology, Wuhan 430206, China

Received:2025-05-26 Revised:2025-08-14 Accepted:2025-08-28 Published:2026-01-27
Contact: Cheng-Bin Li, Lei She E-mail:cbli@apm.ac.cn;shelei@apm.ac.cn
Supported by:
This work was supported by the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDB0920403) and the National Key Research and Development Program of China (Grant No. 2022YFB3904002).

摘要/Abstract

摘要： The $^{229}$Th nucleus has attracted considerable attention due to the existence of its low-energy isomeric state; however, direct laser excitation in ionic systems poses significant challenges for current laser technologies. In the $^{229}$Th$^{3+}$ ion, the electronic bridge (EB) process enables the conversion of direct laser excitation into an effective two-photon process ($I_{\rm g},6{\rm d}_{3/2}\rightarrow I_{\rm g},7{\rm p}_{1/2}\rightarrow I_{\rm m},7{\rm s}_{1/2}$), thereby circumventing the requirement for laser radiation at 148 nm. In this work, we employ many-body perturbation theory (MBPT) to calculate the hyperfine structure constants and field shift factors for several low-lying excited states of the $^{229}$Th$^{3+}$ ion. By combining these theoretical results with previously reported experimental data, we predict three transition frequencies associated with the EB process in the $^{229}$Th$^{3+}$ ion and identify the most suitable transition pathway for EB-assisted nuclear excitation.

关键词: thorium nuclear clock, electronic bridge process, nuclear hyperfine mixing

Abstract: The $^{229}$Th nucleus has attracted considerable attention due to the existence of its low-energy isomeric state; however, direct laser excitation in ionic systems poses significant challenges for current laser technologies. In the $^{229}$Th$^{3+}$ ion, the electronic bridge (EB) process enables the conversion of direct laser excitation into an effective two-photon process ($I_{\rm g},6{\rm d}_{3/2}\rightarrow I_{\rm g},7{\rm p}_{1/2}\rightarrow I_{\rm m},7{\rm s}_{1/2}$), thereby circumventing the requirement for laser radiation at 148 nm. In this work, we employ many-body perturbation theory (MBPT) to calculate the hyperfine structure constants and field shift factors for several low-lying excited states of the $^{229}$Th$^{3+}$ ion. By combining these theoretical results with previously reported experimental data, we predict three transition frequencies associated with the EB process in the $^{229}$Th$^{3+}$ ion and identify the most suitable transition pathway for EB-assisted nuclear excitation.

Key words: thorium nuclear clock, electronic bridge process, nuclear hyperfine mixing

中图分类号: (Mechanical effects of light on atoms, molecules, and ions)

37.10.Vz

31.15.-p (Calculations and mathematical techniques in atomic and molecular physics) 31.15.am (Relativistic configuration interaction (CI) and many-body perturbation calculations) 31.30.Gs (Hyperfine interactions and isotope effects)

Shi-Cheng Yu(余师成), Cheng-Bin Li(李承斌), and Lei She(佘磊). Prediction of I_g,6d_3/2 →I_g,7p_1/2, I_g,7s_1/2 →I_g,7p_1/2 and I_g,7p_1/2 →I_m,7s_1/2 transition frequencies in ²²⁹Th³⁺ ion[J]. 中国物理B, 2026, 35(2): 23701-023701.

参考文献

[1] Ludlow A D, Boyd M M, Ye J, Peik E and Schmidt P 2015 Rev. Mod. Phys. 87 637
[2] Tkalya E, Varlamov V, Lomonosov V and Nikulin S 1996 Phys. Scr. 53 296
[3] Peik E and Tamm C 2003 Europhys. Lett. 61 181
[4] Thirolf P G, Kraemer S, Moritz D and Scharl K 2024 Eur. Phys. J. Spec. Top. 233 1113
[5] Tong X, Hua L, Hua X and Liu X 2025 Natl. Sci. Rev. nwaf083
[6] Nickerson B S, Pimon M, Bilous P V, Gugler J, Beeks K, Sikorsky T, Mohn P, Schumm T and Pálffy A 2020 Phys. Rev. Lett. 125 032501
[7] Tiedau J, Okhapkin M, Zhang K, Thielking J, Zitzer G, Peik E, Schaden F, Pronebner T, Morawetz I, De Col L T, Schneider F, Leitner A, Pressler M, Kazakov G, Beeks K, Sikorsky T and Schumm T 2024 Phys. Rev. Lett. 132 182501
[8] Elwell R, Schneider C, Jeet J, Terhune J, Morgan H, Alexandrova A, Tran Tan H, Derevianko A and Hudson E R 2024 Phys. Rev. Lett. 133 013201
[9] Zhang C, Ooi T, Higgins J S, Doyle J F, et al. 2024 Nature 633 63
[10] Zhang C, von der Wense L, Doyle J F, et al. 2024 Nature 636 603
[11] Jackson R A, Amaral J B, Valerio M E G, DeMille D P and Hudson E R 2009 J. Phys. Condens. Matt. 21 325403
[12] Dessovic P, Mohn P, Jackson R A, Winkler G, Schreitl M, Kazakov G and Schumm T 2014 J. Phys. Condens. Matt. 26 105402
[13] Kazakov G A, Litvinov A N, Romanenko V I, Yatsenko L P, Romanenko A V, Schreitl M, Winkler G and Schumm T 2012 New J. Phys. 14 083019
[14] Campbell C J, Radnaev A G, Kuzmich A, Dzuba V A, Flambaum V V and Derevianko A 2012 Phys. Rev. Lett. 108 120802
[15] Beloy K 2023 Phys. Rev. Lett. 130 103201
[16] Beeks K, Kazakov G A, Schaden F, et al. 2025 Nat. Commun. 16 9147
[17] Safronova M, Porsev S, Kozlov M, Thielking J, Okhapkin M, Głowacki P, Meier D and Peik E 2018 Phys. Rev. Lett. 121 213001
[18] Thielking J, Okhapkin M V, Głowacki P, Meier D M, Von Der Wense L, Seiferle B, Düllmann C E, Thirolf P G and Peik E 2018 Nature 556 321
[19] KälberW, Rink J, Bekk K, FaubelW, Göring S, Meisel G, Rebel H and Thompson R C 1989 Z. Phys. A 334 103
[20] Porsev S, Safronova M and Kozlov M 2021 Phys. Rev. Lett. 127 253001
[21] Porsev S G and Flambaum V V 2010 Phys. Rev. A 81 032504
[22] Li L, Li Z, Wang C, Gan W T, Hua X and Tong X 2023 Nucl. Sci. Technol. 34 24
[23] Klinkenberg P F A 1988 Physica B+C 151 552
[24] Li F C, Qiao H X, Tang Y B and Shi T Y 2022 J. Quant. Spectrosc. Radiat. Transfer 288 108241
[25] Yamaguchi A, Shigekawa Y, Haba H, Kikunaga H, Shirasaki K, Wada M and Katori H 2024 Nature 629 62
[26] Dzuba V and Flambaum V 2023 Phys. Rev. Lett. 131 263002
[27] Campbell C J, Radnaev A G and Kuzmich A 2011 Phys. Rev. Lett. 106 223001
[28] Safronova M S, Safronova U I, Radnaev A G, Campbell C J and Kuzmich A 2013 Phys. Rev. A 88 060501
[29] Li F C, Qiao H X, Tang Y B and Shi T Y 2021 Phys. Rev. A 104 062808
[30] Radnaev A G, Campbell C J and Kuzmich A 2012 Phys. Rev. A 86 060501
[31] Si R, Shi C, Xue N, Kong X, Chen C, Tu B and Ma Y G 2025 Sci. China Phys. Mech. Astron. 68 272011
[32] WangW, Zou F, Fritzsche S and Li Y 2024 Phys. Rev. Lett. 133 223001
[33] Shabaev V, Glazov D, Ryzhkov A, Brandau C, Plunien G, Quint W, Volchkova A and Zinenko D 2022 Phys. Rev. Lett. 128 043001
[34] Von Der Wense L, Bilous P V, Seiferle B, Stellmer S, Weitenberg J, Thirolf P G, Pálffy A and Kazakov G 2020 Eur. Phys. J. A 56 176

Prediction of I_g,6d_3/2 →I_g,7p_1/2, I_g,7s_1/2 →I_g,7p_1/2 and I_g,7p_1/2 →I_m,7s_1/2 transition frequencies in ²²⁹Th³⁺ ion

Prediction of I_g,6d_3/2 →I_g,7p_1/2, I_g,7s_1/2 →I_g,7p_1/2 and I_g,7p_1/2 →I_m,7s_1/2 transition frequencies in ²²⁹Th³⁺ ion

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