Reconciliation of Theoretical Lifetimes of the 5s5p3Po2 Metastable State for 88Sr with Measurement: The Role of the Blackbody-Radiation-Induced Decay
-
Abstract
We conducted measurement and calculation to resolve the long-standing large discrepancy in the metastable state lifetime for the 88Sr atom between theoretical and experimental results. The present lifetime τ=830+600−240 s, measured using the magneto-optical trap as a photon amplifier to detect the weak decay events, is approximately 60% larger than the previous experimental value τ=520+310−140 s. By considering the electron correlation effects in the framework of the multiconfiguration Dirac–Hartree–Fock theory, we obtained a theoretical lifetime of 1079(54) s, which lies in the range of measurements with error bars. Furthermore, we considered the higher-order electron correlation and Breit interaction to control the uncertainty of the theoretical calculation. The significant improvement in the agreement between calculations and measurements is attributed to the updated blackbody radiation-induced decay rate. -
-
References
[1] Katori H, Ido T, Isoya Y, and Kuwata-Gonokami M 2001 AIP Conf. Proc. 551 382 doi: 10.1063/1.1354362[2] Grünert J and Hemmerich A 2002 Phys. Rev. A 65 041401 doi: 10.1103/PhysRevA.65.041401[3] Yang C Y, Halder P, Appel O, Hansen D, and Hemmerich A 2007 Phys. Rev. A 76 033418 doi: 10.1103/PhysRevA.76.033418[4] Riedmann M, Kelkar H, Wübbena T, Pape A, Kulosa A, Zipfel K, Fim D, Rühmann S, Friebe J, Ertmer W, and Rasel E 2012 Phys. Rev. A 86 043416 doi: 10.1103/PhysRevA.86.043416[5] Sorrentino F, Ferrari G, Poli N, Drullinger R, and Tino G M 2006 Mod. Phys. Lett. B 20 1287 doi: 10.1142/S0217984906011682[6] Ushijima I, Takamoto M, Das M, Ohkubo T, and Katori H 2015 Nat. Photon. 9 185 doi: 10.1038/nphoton.2015.5[7] Falke S, Lemke N, Grebing C, Lipphardt B, Weyers S, Gerginov V, Huntemann N, Hagemann C, Al-Masoudi A, Häfner S, Vogt S, Sterr U, and Lisdat C 2014 New J. Phys. 16 073023 doi: 10.1088/1367-2630/16/7/073023[8] McGrew W F, Zhang X, Fasano R J, Schäffer S A, Beloy K, Nicolodi D, Brown R C, Hinkley N, Milani G, Schioppo M, Yoon T H, and Ludlow A D 2018 Nature 564 87 doi: 10.1038/s41586-018-0738-2[9] Oelker E, Hutson R B, Kennedy C J, Sonderhouse L, Bothwell T, Goban A, Kedar D, Sanner C, Robinson J M, Marti G E, Matei D G, Legero T, Giunta M, Holzwarth R, Riehle F, Sterr U, and Ye J 2019 Nat. Photon. 13 714 doi: 10.1038/s41566-019-0493-4[10] Hill I R, Hobson R, Bowden W, Bridge E M, Donnellan S, Curtis E A, and Gill P 2016 J. Phys.: Conf. Ser. 723 012019 doi: 10.1088/1742-6596/723/1/012019[11] Campbell S L, Hutson R B, Marti G E, Goban A, Darkwah O N, McNally R L, Sonderhouse L, Robinson J M, Zhang W, Bloom B J, and Ye J 2017 Science 358 90 doi: 10.1126/science.aam5538[12] Häfner S, Falke S, Grebing C, Vogt S, Legero T, Merimaa M, Lisdat C, and Sterr U 2015 Opt. Lett. 40 2112 doi: 10.1364/OL.40.002112[13] Hashiguchi K, Akatsuka T, Ohmae N, Takamoto M, and Katori H 2019 Phys. Rev. A 100 042513 doi: 10.1103/PhysRevA.100.042513[14] Hobson R, Bowden W, Vianello A, Hill I R, and Gill P 2020 Phys. Rev. A 101 013420 doi: 10.1103/PhysRevA.101.013420[15] Yamaguchi A, Uetake S, and Takahashi Y 2008 Appl. Phys. B 91 57 doi: 10.1007/s00340-008-2953-2[16] Yu D 2012 Phys. Rev. A 86 032703 doi: 10.1103/PhysRevA.86.032703[17] Uetake S, Murakami R, Doyle J M, and Takahashi Y 2012 Phys. Rev. A 86 032712 doi: 10.1103/PhysRevA.86.032712[18] Bhongale S G, Mathey L, Zhao E, Yelin S F, and Lemeshko M 2013 Phys. Rev. Lett. 110 155301 doi: 10.1103/PhysRevLett.110.155301[19] Daley A J, Boyd M M, Ye J, and Zoller P 2008 Phys. Rev. Lett. 101 170504 doi: 10.1103/PhysRevLett.101.170504[20] Derevianko A 2001 Phys. Rev. Lett. 87 023002 doi: 10.1103/PhysRevLett.87.023002[21] Liu Y, Andersson M, Brage T, Zou Y, and Hutton R 2007 Phys. Rev. A 75 014502 doi: 10.1103/PhysRevA.75.014502[22] Yasuda M and Katori H 2004 Phys. Rev. Lett. 92 153004 doi: 10.1103/PhysRevLett.92.153004[23] Kelly J F, Harris M, and Gallagher A 1988 Phys. Rev. A 37 2354 doi: 10.1103/PhysRevA.37.2354[24] Wang Y B, Yin M J, Ren J, Xu Q F, Lu B Q, Han J X, Guo Y, and Chang H 2018 Chin. Phys. B 27 023701 doi: 10.1088/1674-1056/27/2/023701[25] Safronova M S, Porsev S G, Safronova U I, Kozlov M G, and Clark C W 2013 Phys. Rev. A 87 012509 doi: 10.1103/PhysRevA.87.012509[26] Bjorkholm J E 1988 Phys. Rev. A 38 1599 doi: 10.1103/PhysRevA.38.1599[27] Redondo C, Sánchez Rayo M N, Ecija P, Husain D, and Castaño F 2004 Chem. Phys. Lett. 392 116 doi: 10.1016/j.cplett.2004.03.156[28] Nicholson T L, Campbell S L, Hutson R B, Marti G E, Bloom B J, McNally R L, Zhang W, Barrett M D, Safronova M S, Strouse G F, Tew W L, and Ye J 2015 Nat. Commun. 6 6896 doi: 10.1038/ncomms7896[29] Grant I P 2007 Relativistic Quantum Theory of Atoms and Molecules: Theory and Computation New York: Springer p 518[30] Fischer C F, Godefroid M, Brage T, Jönsson P, and Gaigalas G 2016 J. Phys. B 49 182004 doi: 10.1088/0953-4075/49/18/182004[31] Johnson W R 2007 Atomic Structure Theory-Lectures on Atomic Physics New York: Springer p 185[32] Olsen J, Godefroid M R, Jönsson P, Malmqvist P Å, and Fischer C F 1995 Phys. Rev. E 52 4499 doi: 10.1103/PhysRevE.52.4499[33] Verdebout S, Jönsson P, Gaigalas G, Godefroid M, and Fischer C F 2010 J. Phys. B 43 074017 doi: 10.1088/0953-4075/43/7/074017[34] Lu B, Zhang T, Chang H, Li J, Wu Y, and Wang J 2019 Phys. Rev. A 100 012504 doi: 10.1103/PhysRevA.100.012504[35] Fischer C F, Gaigalas G, Jönsson P, and Bieroń J 2019 Comput. Phys. Commun. 237 184 doi: 10.1016/j.cpc.2018.10.032[36] Sansonetti J E and Nave G 2010 J. Phys. Chem. Ref. Data 39 033103 doi: 10.1063/1.3449176 -
Cited by
Periodical cited type(3)
1. Klüsener, V., Pucher, S., Yankelev, D. et al. Long-Lived Coherence on a μHz Scale Optical Magnetic Quadrupole Transition. Physical Review Letters, 2024, 132(25): 253201. DOI:10.1103/PhysRevLett.132.253201 2. Zanon-Willette, T., Impens, F., Arimondo, E. et al. Engineering quantum control with optical transitions induced by twisted light fields. Physical Review A, 2023, 108(4): 043513. DOI:10.1103/PhysRevA.108.043513 3. Lu, X., Guo, F., Wang, Y. et al. MF -dependent hyperfine-induced 5s5p P0o 3 -5s2 S0 1 clock transition rates in an external magnetic field for Sr 87. Physical Review A, 2023, 108(1): 012820. DOI:10.1103/PhysRevA.108.012820 Other cited types(0)
DownLoad: