Search

Article

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

Precision spectroscopy on the 2 3S-2 3P transition of atomic helium

Zheng Xin Sun Yu Chen Jiao-Jiao Hu Shui-Ming

Citation:

Precision spectroscopy on the 2 3S-2 3P transition of atomic helium

Zheng Xin, Sun Yu, Chen Jiao-Jiao, Hu Shui-Ming
PDF
Get Citation

(PLEASE TRANSLATE TO ENGLISH

BY GOOGLE TRANSLATE IF NEEDED.)

  • Precision measurement in few-electron atomic systems played an important role in testing fundamental physics and determination of the fundamental physical constants throughout the past few decades.Atomic helium,as the simplest multi-electron system,its energy levels can be calculated with a very high precision by means of ab-initio calculations, and can be accurately determined using precision spectroscopy.Test of quantum theories can be achieved by comparing theoretical predictions with experimental results.In case of any disagreement,it might imply that there are some undiscovered systematic effects,or might signal physics beyond the standard model.Particularly,the 2 3PJ energy level in atomic helium is considered as one of the best atomic systems for determining the fine-structure constant α.High precision helium spectroscopy can also be used for setting constraints on exotic spin-dependent interactions,and may provide an accurate determination of the helium nuclear charge radius.Comparison of results from electronic and muonic helium may provide a sensitive test of universality in electromagnetic interactions of leptons,and may help solve the socalled “proton size puzzle”.In this paper,we summarize our recent progress on precision spectroscopy of atomic helium. By using transverse cooling and deflection,we are able to prepare a low-noise bright source of atoms in the metastable state 2 3S1.The initial state preparation is completed by optical pumping,followed by laser spectroscopy in the 2 3S-2 3P transition.The 2 3P0-2 3P2 and 2 3P1-2 3P2 fine-structure intervals are determined to be (31908130.98 ±0.13) kHz and (2291177.56 ±0.19) kHz,respectively.Compared with calculations including terms up to α7m,the deviation for the α-sensitive interval 2 3P0-2 3P2 is only 0.22 kHz,which paths way for further improvement of theoretical predictions and independent determination of α with a 2-ppb precision.The 2 3S-2 3P transition frequency is determined with an accuracy of 1.4 kHz by utilizing comb-linked spectroscopy and first-order Doppler cancellation technique.Our result is not only more accurate but also differs by as much as 50 kHz (20 σ) from the previously reported result.This discrepancy remains unsolved and indicates the need for further independent measurements.In combination with ongoing theoretical calculations,this new result may provide the most accurate determination of helium nuclear charge radius.Prospects for future improvements in relevant precision measurements,including simple molecules,are also discussed.
      Corresponding author: Hu Shui-Ming, smhu@ustc.edu.cn
    • Funds: Project supported by Chinese Academy of Science (Grant Nos. XDB21010400, XDB21020100), the National Natural Science Foundation of China (Grant Nos. 91736101, 21688102, 11304303, 91436209), and the National Basic Research Program of China (Grant No. 2013CB834602).
    [1]

    Hänsch T W 2005 Rev. Mod. Phys. 78 1297

    [2]

    Bohr N 1913 Phil. Mag. 26 476

    [3]

    Dirac P A M 1928 Proc. Roy. Soc. London A: Math. Phys. Eng. Sc. 117 610

    [4]

    Lamb W E, Rutherford R C 1947 Phys. Rev. 72 241

    [5]

    Lamb W E, Rutherford R C 1950 Phys. Rev. 79 549

    [6]

    Beth H A 1947 Phys. Rev. 72 339

    [7]

    Dyson F J 1949 Phys. Rev. 75 486

    [8]

    Dyson F J 1952 Phys. Rev. 85 631

    [9]

    Aoyama T, Hayakawa M, Kinoshita T, Nio M 2012 Phys. Rev. Lett. 109 111807

    [10]

    Hanneke D, Fogwell S, Gabrielse G 2008 Phys. Rev. Lett. 100 120801

    [11]

    Biraben F 2009 Eur. Phys. J. Spec. Top. 172 109

    [12]

    Beyer A, Maisenbacher L, Matveev A, Pohl R, Khabarova K, Grinin A, Lamour T, Yost D C, Hänsch T W, Kolachevsky N, Udem T 2017 Science 358 79

    [13]

    Parthey C G, Matveev A, Alnis J, Bernhardt B, Beyer A, Holzwarth R, Maistrou A, Pohl R, Predehl K, Udem T, Wilken T, Kolachevsky N, Abgrall M, Rovera D, Salomon C, Laurent P, Hänsch T W 2011 Phys. Rev. Lett. 107 203001

    [14]

    Matveev A, Parthey C G, Predehl K, Alnis J, Beyer A, Holzwarth, Udem T, Wilken T, Kolachevsky N, Abgrall M, Rovera D, Salomon C, Laurent P, Grosche G, Terra O, Legero T, Schnatz H, Weyers S, Altschul B, Hänsch T W 2013 Phys. Rev. Lett. 110 230801

    [15]

    Mohr P J, Newell D B, Taylor B N 2016 Rev. Mod. Phys. 88 035009

    [16]

    Pohl R, Antognini A, Nez F, Amaro F D, Biraben F, Cardoso J M R, Covita D S, Dax A, Dhawan S, Fernandes L M P, Giesen A, Graf T, Hänsch T W, Indelicato P, Julien L, Kao C Y, Knowles P, Bigot E O L, Liu Y W, Lopes J A M, Ludhova L, Monteiro C M B, Mulhauser F, Nebel T, Rabinowitz P, dos Santos J M F, Schaller L A, Schuhmann K, Schwob C, Taqqu D, Veloso J F C A, Kottmann F 2010 Nature 466 213

    [17]

    Antognini A, Nez F, Schuhmann K, Amaro F D, Biraben F, Cardoso J M R, Covita D S, Dax A, Dhawan S, Diepold M, Fernandes L M P, Giesen A, Graf T, Hänsch T W, Indelicato P, Julien L, Kao C Y, Knowles P, Kottmann F, Bigot E O L, Liu Y W, Lopes J A M, Ludhova L, Monteiro C M B, Mulhauser F, Nebel T, Rabinowitz P, dos Santos, J M F, Schaller L A, Schwob C, Taqqu D, Veloso J F C A, Vogelsang J, Pohl R 2013 Science 339 417

    [18]

    Pohl R, Nez F, Fernandes L M P, Amaro F D, Biraben F, Cardoso J M R, Covita D S, Dax A, Dhawan S, Diepold M, Giesen A, Gouvea A L, Graf T, Hänsch T W, Indelicato P, Julien L, Knowles P, Kottmann F, Bigot E O L, Liu Y W, Lopes J A M, Ludhova L, Monteiro C M B, Mulhauser F, Nebel T, Rabinowitz P, dos Santos, J M F, Schaller L A, Schuhmann K, Schwob C, Taqqu D, Veloso J F C A, Antognini A, The CREMA collaboration 2016 Science 353 669

    [19]

    Pohl R, Gilman R, Miller G A, Pachucki K 2013 Annu. Rev. Nuc. Part. Sci. 63 175

    [20]

    Beyer A, Maisenbacher L, Matveev A, Pohl R, Khabarova K, Chang Y, Grinin A, Lamour T, Shi T, Yost D C, Hänsch T W, Kolachevsky N 2016 Opt. Express 24 17470

    [21]

    Peters E, Yost D C, Matveev A, Hänsch T W, Udem T 2013 Anna. Phys. 525 L29

    [22]

    Galtier S, Fleurbaey H, Thomas S, Julien L, Biraben, Nez F 2015 J. Phys. Chem. Ref. Data 44 031201

    [23]

    Caswell W E, Lepage G P 1986 Phys. Lett. B 167 437

    [24]

    Paz G 2015 Mod. Phys. Lett. A 30 1550128

    [25]

    Pahcucki K, Patkos V, Yerokhin V A 2017 Phys. Rev. A 95 062510

    [26]

    Shiner D, Dixson R, Zhao P 1994 Phys. Rev. Lett. 72 1802

    [27]

    Minardi F, Bianchini G, Pastor P C, Giusfredi G, Pavone F S, Inguscio M 1999 Phys. Rev. Lett. 82 1112

    [28]

    Castillega J, Livingston D, Sanders A, Shiner D 2000 Phys. Rev. Lett. 84 4321

    [29]

    Storry C H, George M C, Hessels E A 2000 Phys. Rev. Lett. 84 3274

    [30]

    Pastor P C, Giusfredi G, Natale P D, Hagel G, Mauro C D, Inguscio M 2004 Phys. Rev. Lett. 92 023001

    [31]

    Zelevinsky T, Farkas D, Gabrilse G 2005 Phys. Rev. Lett. 95 203001

    [32]

    Borbely J S, George M C, Lombardi L D, Weel M, Fitzakerley D W, Hessels E A 2009 Phys. Rev. A 79 060503

    [33]

    Smiciklas M, Shiner D 2010 Phys. Rev. Lett. 105 123001

    [34]

    Pastor P C, Consolino L, Giusfredi G, Natale P D, Inguscio M, Yerokhin V A, Pachucki P 2012 Phys. Rev. Lett. 108 143001

    [35]

    Feng G P, Zheng X, Sun Y R, Hu S M 2015 Phys. Rev. A 91 030502

    [36]

    Zheng X, Sun Y R, Chen J J, Jiang W, Pachucki K, Hu S M 2017 Phys. Rev. Lett. 118 063001

    [37]

    Dorre C, Nez F, de Beauvoir B, Julien L, Biraben F 1997 Phys. Rev. Lett. 78 3658

    [38]

    Luo P L, Peng J L, Shy J T, Wang L B 2013 Phys. Rev. Lett. 111 013002

    [39]

    van Leeuwen K A H, Vassen W 2006 Euro. Phys. Lett. 76 409

    [40]

    van Rooij R, Borbely J S, Simonet J, Hoogerland M D, Eikema K S E, Rozendaal R A, Vassen W 2011 Science 333 196

    [41]

    Notermans R, Vassen W 2014 Phys. Rev. Lett. 112 253002

    [42]

    Wang L B, Mueller P, Bailey K, Drake G W F, Greene J P, Henderson D, Holt R J, Janssens R V F, Jiang C L, Lu Z T, O’Connor P O, Pardo R C, Rehm K E, Schiffer J P, Tang X D 2004 Phys. Rev. Lett. 93 142501

    [43]

    Mueller P, Sulai I A, Villari A C C, Alcantara-Nunez J A, Alves-Conde R, Bailey K, Drake G W F, Dubois M, Eleon C, Gaubert G, Holt R J, Janssens R V F, Lecesne N, Lu Z T, O’Connor P O, Saint-Laurent M G, Thomas J C, Wang L B 2007 Phys. Rev. Lett. 99 252501

    [44]

    Lu Z T, Mueller P, Drake G W F, Nortershauser W, Pieper S C 2013 Rev. Mod. Phys. 85 1383

    [45]

    Eikema K S E, Ubachs W, Vassen W, Hogervorst W 1996 Phys. Rev. Lett. 76 1216

    [46]

    Eikema K S E, Ubachs W, Vassen W, Hogervorst W 1997 Phys. Rev. A 55 1866

    [47]

    Eyler E E, Chieda D E, Stowe M C, Thorpe M J, Schibli T R, Ye J 2008 Eur. Phys. J. D 48 43

    [48]

    Cingoz A, Yost D C, Allison T K, Ruehl A, Fermann M E, Hartl I, Ye J 2012 Nature 482 68

    [49]

    Schwartz C 1964 Phys. Rev. 134 A1181

    [50]

    Douglas M, Kroll N M 1974 Anna. Phys. 82 89

    [51]

    Yan Z C, Drake G W F 1995 Phys. Rev. Lett. 74 4791

    [52]

    Zhang T, Yan Z C, Drake G W F 1996 Phys. Rev. Lett. 77 1715

    [53]

    Pachucki K 2006 Phys. Rev. Lett. 97 013002

    [54]

    Pachucki K, Yerokhin V A 2009 Phys. Rev. A 79 062516

    [55]

    Pachucki K, Yerokhin V A 2010 Phys. Rev. Lett. 104 070403

    [56]

    Ficek F, Kimball D F J, Kozlov M G, Leefer N, Pustelny S, Budker D 2017 Phys. Rev. A 95 032505

    [57]

    Pachucki K 2002 J. Phys. B: Atom. Mol. Opt. Phys. 35 3087

    [58]

    Yerokhin V A, Pachucki K 2016 Phys. Rev. A 94 052508

    [59]

    Zheng X, Sun Y R, Chen J J, Jiang W, Pachucki K, Hu S M 2017 Phys. Rev. Lett. 119 263002

    [60]

    Pachucki K, Yerokhin V A 2015 J. Phys. Chem. Refs. Data 44 031206

    [61]

    Yerokhin V A, Pachucki K 2017 Phys. Rev. A 95 012508

    [62]

    Sick I 2008 Prec. Phys. Sim. Atom. Mol. 57

    [63]

    Kievsky A, Rosati S, Viviani M, Marcucci L E, Girlanda L 2008 J. Phys. G: Nucl. Part. Phys. 35 063101

    [64]

    Sick I 2008 Phys. Rev. C 77 041302

    [65]

    Drake G W F, Nortershauser W, Yan Z C 2005 Can. J. Phys. 83 311

    [66]

    Shiner D, Dixson R, Vedantham V 1995 Phys. Rev. Lett. 74 3553

    [67]

    Pastor P C, Giusfredi G, Natale P D, Hagel G, de Mauro C, Inguscio M 2006 Phys. Rev. Lett. 97 139903

    [68]

    Antognini A, Biraben F, Cardoso J M R, Covita D S, Dax A, Fernandes L M P, Gouvea A L, Graf T, Hänsch T W, Hildebrandt M, Indelicato P, Julien L, Kirch K, Kottmann F, Liu Y W, Monteiro C M B, Mulhauser F, Nebel T, Nez F, dos Santos J M F, Schuhmann K, Taqqu D, Veloso J F C A, Voss A, Pohl R 2011 Can. J. Phys. 89 47

    [69]

    Angeli I, Marinova K P 2013 Atom. Data Nucl. Data Tab. 99 69

    [70]

    Sun Y, Feng G P, Cheng C F, Tu L Y, Pan H, Yang G M, Hu S M 2012 Acta Phys. Sin. 61 170601 (in Chinese) [孙羽, 冯高平, 程存峰, 涂乐义, 潘虎, 杨国民, 胡水明 2012 61 170601]

    [71]

    Cheng C F, Jiang W, Yang G M, Sun Y R, Pan H, Gao Y, Liu A W, Hu S M 2010 Rev. Sci. Instr. 81 123106

    [72]

    Vansteenkiste N, Gerz C, Kaiser R, Hollberg L, Salomon C, Aspect A 1991 J. Phys. Ⅱ France 1 1407

    [73]

    Rooijakkers W, Hogervorst W, Vassen W 1996 Opt. Comm. 123 321

    [74]

    Breuer H 1965 Rev. Sci. Instr. 36 1666

    [75]

    Bolinger L, Prammer M G, Leigh J S 1989 J. Mag. Res. 81 162

    [76]

    Feng G P, Sun Y, Zheng X, Hu S M 2014 Acta Phys. Sin. 63 123201 (in Chinese) [冯高平, 孙羽, 郑昕, 胡水明 2014 63 123201]

    [77]

    Drever R W P, Hall J L, Kowalski F V, Hough J, Ford G M, Munley A J, Ward H 1983 Appl. Phys. B 31 97

    [78]

    Prentiss M G, Ezekiel S 1986 Phys. Rev. Lett. 56 46

    [79]

    Minardi F, Artoni M, Cancio P, Inguscio M, Giusfredi G, Carusotto I 1999 Phys. Rev. A 60 4164

    [80]

    Artoni M, Carusotto I, Minardi F 2000 Phys. Rev. A 62 023402

    [81]

    Wieman C E, Noecker M C, Masterson B P, Cooper J 1987 Phys. Rev. Lett. 58 1738

    [82]

    Salomon C, Dalibard J, Aspect A, Metcalf H, Cohen-Tannoudji C 1987 Phys. Rev. Lett. 59 1659

    [83]

    Yan Z C, Drake G W F 1994 Phys. Rev. A 50 R1980

    [84]

    Horbatsch M, Hessels E A 2010 Phys. Rev. A 82 052519

    [85]

    Horbatsch M, Hessels E A 2011 Phys. Rev. A 84 032508

    [86]

    Horbatsch M, Hessels E A 2012 Phys. Rev. A 86 040501

    [87]

    Sansonetti C J, Simien C E, Gillaspy J D, Tan J N, Brewer S M, Brown R C, Wu S J, Porto J V 2011 Phys. Rev. Lett. 107 023001

    [88]

    Brown R C, Wu S J, Porto J V, Sansonetti C J, Simien C E, Brewer S M, Tan J N, Gillaspy J D 2013 Phys. Rev. A 87 032504

    [89]

    Marsman A, Hessels E A, Horbatsch M 2014 Phys. Rev. A 89 043403

    [90]

    Marsman A, Horbatsch M, Hessels E A 2015 J. Phys. Chem. Ref. Data 44 031207

    [91]

    Kleinert M, Dahl M E G, Bergeson S 2016 Phys. Rev. A 94 052511

    [92]

    Vrinceanu D, Kotochigova S, Sadeghpour H R 2004 Phys. Rev. A 69 022714

    [93]

    Pachucki K, Yerokhin V A 2011 J. Phys.: Conf. Ser. 264 012007

    [94]

    Beyer A, Parthey C G, Kolachevsky N, Alnis J, Khabarova K, Pohl R, Peters E, Yost D C, Matveev A, Predehl K, Droste S, Wilken T, Holzwarth R, Hänsch T W, Abgrall M, Rovera D, Salomon C, Laurent P, Udem T 2013 J. Phys.: Conf. Ser. 467 012003

    [95]

    Herrmann M, Haas M, Jentschura U D, Kottmann F, Leibfried D, Saathoff G, Gohle C, Ozawa A, Batteiger V, Knunz S, Kolachevsky N, Schussler H A, Hänsch T W, Udem T 2009 Phys. Rev. A 79 052505

    [96]

    Altmann R K, Galtier S, Dreissen L S, Eikema K S E 2016 Phys. Rev. Lett. 117 173201

    [97]

    Korobov V I, Hilico L, Karr J P 2017 Phys. Rev. Lett. 118 233001

    [98]

    Puchalski M, Komasa J, Czachorowski P, Pahcucki K 2016 Phys. Rev. Lett. 117 263002

    [99]

    Biesheuvel J, Karr J, Hilico L, Eikema K S E, Ubachs W, Koelemeij J C J 2016 Nat. Comm. 7 10385

  • [1]

    Hänsch T W 2005 Rev. Mod. Phys. 78 1297

    [2]

    Bohr N 1913 Phil. Mag. 26 476

    [3]

    Dirac P A M 1928 Proc. Roy. Soc. London A: Math. Phys. Eng. Sc. 117 610

    [4]

    Lamb W E, Rutherford R C 1947 Phys. Rev. 72 241

    [5]

    Lamb W E, Rutherford R C 1950 Phys. Rev. 79 549

    [6]

    Beth H A 1947 Phys. Rev. 72 339

    [7]

    Dyson F J 1949 Phys. Rev. 75 486

    [8]

    Dyson F J 1952 Phys. Rev. 85 631

    [9]

    Aoyama T, Hayakawa M, Kinoshita T, Nio M 2012 Phys. Rev. Lett. 109 111807

    [10]

    Hanneke D, Fogwell S, Gabrielse G 2008 Phys. Rev. Lett. 100 120801

    [11]

    Biraben F 2009 Eur. Phys. J. Spec. Top. 172 109

    [12]

    Beyer A, Maisenbacher L, Matveev A, Pohl R, Khabarova K, Grinin A, Lamour T, Yost D C, Hänsch T W, Kolachevsky N, Udem T 2017 Science 358 79

    [13]

    Parthey C G, Matveev A, Alnis J, Bernhardt B, Beyer A, Holzwarth R, Maistrou A, Pohl R, Predehl K, Udem T, Wilken T, Kolachevsky N, Abgrall M, Rovera D, Salomon C, Laurent P, Hänsch T W 2011 Phys. Rev. Lett. 107 203001

    [14]

    Matveev A, Parthey C G, Predehl K, Alnis J, Beyer A, Holzwarth, Udem T, Wilken T, Kolachevsky N, Abgrall M, Rovera D, Salomon C, Laurent P, Grosche G, Terra O, Legero T, Schnatz H, Weyers S, Altschul B, Hänsch T W 2013 Phys. Rev. Lett. 110 230801

    [15]

    Mohr P J, Newell D B, Taylor B N 2016 Rev. Mod. Phys. 88 035009

    [16]

    Pohl R, Antognini A, Nez F, Amaro F D, Biraben F, Cardoso J M R, Covita D S, Dax A, Dhawan S, Fernandes L M P, Giesen A, Graf T, Hänsch T W, Indelicato P, Julien L, Kao C Y, Knowles P, Bigot E O L, Liu Y W, Lopes J A M, Ludhova L, Monteiro C M B, Mulhauser F, Nebel T, Rabinowitz P, dos Santos J M F, Schaller L A, Schuhmann K, Schwob C, Taqqu D, Veloso J F C A, Kottmann F 2010 Nature 466 213

    [17]

    Antognini A, Nez F, Schuhmann K, Amaro F D, Biraben F, Cardoso J M R, Covita D S, Dax A, Dhawan S, Diepold M, Fernandes L M P, Giesen A, Graf T, Hänsch T W, Indelicato P, Julien L, Kao C Y, Knowles P, Kottmann F, Bigot E O L, Liu Y W, Lopes J A M, Ludhova L, Monteiro C M B, Mulhauser F, Nebel T, Rabinowitz P, dos Santos, J M F, Schaller L A, Schwob C, Taqqu D, Veloso J F C A, Vogelsang J, Pohl R 2013 Science 339 417

    [18]

    Pohl R, Nez F, Fernandes L M P, Amaro F D, Biraben F, Cardoso J M R, Covita D S, Dax A, Dhawan S, Diepold M, Giesen A, Gouvea A L, Graf T, Hänsch T W, Indelicato P, Julien L, Knowles P, Kottmann F, Bigot E O L, Liu Y W, Lopes J A M, Ludhova L, Monteiro C M B, Mulhauser F, Nebel T, Rabinowitz P, dos Santos, J M F, Schaller L A, Schuhmann K, Schwob C, Taqqu D, Veloso J F C A, Antognini A, The CREMA collaboration 2016 Science 353 669

    [19]

    Pohl R, Gilman R, Miller G A, Pachucki K 2013 Annu. Rev. Nuc. Part. Sci. 63 175

    [20]

    Beyer A, Maisenbacher L, Matveev A, Pohl R, Khabarova K, Chang Y, Grinin A, Lamour T, Shi T, Yost D C, Hänsch T W, Kolachevsky N 2016 Opt. Express 24 17470

    [21]

    Peters E, Yost D C, Matveev A, Hänsch T W, Udem T 2013 Anna. Phys. 525 L29

    [22]

    Galtier S, Fleurbaey H, Thomas S, Julien L, Biraben, Nez F 2015 J. Phys. Chem. Ref. Data 44 031201

    [23]

    Caswell W E, Lepage G P 1986 Phys. Lett. B 167 437

    [24]

    Paz G 2015 Mod. Phys. Lett. A 30 1550128

    [25]

    Pahcucki K, Patkos V, Yerokhin V A 2017 Phys. Rev. A 95 062510

    [26]

    Shiner D, Dixson R, Zhao P 1994 Phys. Rev. Lett. 72 1802

    [27]

    Minardi F, Bianchini G, Pastor P C, Giusfredi G, Pavone F S, Inguscio M 1999 Phys. Rev. Lett. 82 1112

    [28]

    Castillega J, Livingston D, Sanders A, Shiner D 2000 Phys. Rev. Lett. 84 4321

    [29]

    Storry C H, George M C, Hessels E A 2000 Phys. Rev. Lett. 84 3274

    [30]

    Pastor P C, Giusfredi G, Natale P D, Hagel G, Mauro C D, Inguscio M 2004 Phys. Rev. Lett. 92 023001

    [31]

    Zelevinsky T, Farkas D, Gabrilse G 2005 Phys. Rev. Lett. 95 203001

    [32]

    Borbely J S, George M C, Lombardi L D, Weel M, Fitzakerley D W, Hessels E A 2009 Phys. Rev. A 79 060503

    [33]

    Smiciklas M, Shiner D 2010 Phys. Rev. Lett. 105 123001

    [34]

    Pastor P C, Consolino L, Giusfredi G, Natale P D, Inguscio M, Yerokhin V A, Pachucki P 2012 Phys. Rev. Lett. 108 143001

    [35]

    Feng G P, Zheng X, Sun Y R, Hu S M 2015 Phys. Rev. A 91 030502

    [36]

    Zheng X, Sun Y R, Chen J J, Jiang W, Pachucki K, Hu S M 2017 Phys. Rev. Lett. 118 063001

    [37]

    Dorre C, Nez F, de Beauvoir B, Julien L, Biraben F 1997 Phys. Rev. Lett. 78 3658

    [38]

    Luo P L, Peng J L, Shy J T, Wang L B 2013 Phys. Rev. Lett. 111 013002

    [39]

    van Leeuwen K A H, Vassen W 2006 Euro. Phys. Lett. 76 409

    [40]

    van Rooij R, Borbely J S, Simonet J, Hoogerland M D, Eikema K S E, Rozendaal R A, Vassen W 2011 Science 333 196

    [41]

    Notermans R, Vassen W 2014 Phys. Rev. Lett. 112 253002

    [42]

    Wang L B, Mueller P, Bailey K, Drake G W F, Greene J P, Henderson D, Holt R J, Janssens R V F, Jiang C L, Lu Z T, O’Connor P O, Pardo R C, Rehm K E, Schiffer J P, Tang X D 2004 Phys. Rev. Lett. 93 142501

    [43]

    Mueller P, Sulai I A, Villari A C C, Alcantara-Nunez J A, Alves-Conde R, Bailey K, Drake G W F, Dubois M, Eleon C, Gaubert G, Holt R J, Janssens R V F, Lecesne N, Lu Z T, O’Connor P O, Saint-Laurent M G, Thomas J C, Wang L B 2007 Phys. Rev. Lett. 99 252501

    [44]

    Lu Z T, Mueller P, Drake G W F, Nortershauser W, Pieper S C 2013 Rev. Mod. Phys. 85 1383

    [45]

    Eikema K S E, Ubachs W, Vassen W, Hogervorst W 1996 Phys. Rev. Lett. 76 1216

    [46]

    Eikema K S E, Ubachs W, Vassen W, Hogervorst W 1997 Phys. Rev. A 55 1866

    [47]

    Eyler E E, Chieda D E, Stowe M C, Thorpe M J, Schibli T R, Ye J 2008 Eur. Phys. J. D 48 43

    [48]

    Cingoz A, Yost D C, Allison T K, Ruehl A, Fermann M E, Hartl I, Ye J 2012 Nature 482 68

    [49]

    Schwartz C 1964 Phys. Rev. 134 A1181

    [50]

    Douglas M, Kroll N M 1974 Anna. Phys. 82 89

    [51]

    Yan Z C, Drake G W F 1995 Phys. Rev. Lett. 74 4791

    [52]

    Zhang T, Yan Z C, Drake G W F 1996 Phys. Rev. Lett. 77 1715

    [53]

    Pachucki K 2006 Phys. Rev. Lett. 97 013002

    [54]

    Pachucki K, Yerokhin V A 2009 Phys. Rev. A 79 062516

    [55]

    Pachucki K, Yerokhin V A 2010 Phys. Rev. Lett. 104 070403

    [56]

    Ficek F, Kimball D F J, Kozlov M G, Leefer N, Pustelny S, Budker D 2017 Phys. Rev. A 95 032505

    [57]

    Pachucki K 2002 J. Phys. B: Atom. Mol. Opt. Phys. 35 3087

    [58]

    Yerokhin V A, Pachucki K 2016 Phys. Rev. A 94 052508

    [59]

    Zheng X, Sun Y R, Chen J J, Jiang W, Pachucki K, Hu S M 2017 Phys. Rev. Lett. 119 263002

    [60]

    Pachucki K, Yerokhin V A 2015 J. Phys. Chem. Refs. Data 44 031206

    [61]

    Yerokhin V A, Pachucki K 2017 Phys. Rev. A 95 012508

    [62]

    Sick I 2008 Prec. Phys. Sim. Atom. Mol. 57

    [63]

    Kievsky A, Rosati S, Viviani M, Marcucci L E, Girlanda L 2008 J. Phys. G: Nucl. Part. Phys. 35 063101

    [64]

    Sick I 2008 Phys. Rev. C 77 041302

    [65]

    Drake G W F, Nortershauser W, Yan Z C 2005 Can. J. Phys. 83 311

    [66]

    Shiner D, Dixson R, Vedantham V 1995 Phys. Rev. Lett. 74 3553

    [67]

    Pastor P C, Giusfredi G, Natale P D, Hagel G, de Mauro C, Inguscio M 2006 Phys. Rev. Lett. 97 139903

    [68]

    Antognini A, Biraben F, Cardoso J M R, Covita D S, Dax A, Fernandes L M P, Gouvea A L, Graf T, Hänsch T W, Hildebrandt M, Indelicato P, Julien L, Kirch K, Kottmann F, Liu Y W, Monteiro C M B, Mulhauser F, Nebel T, Nez F, dos Santos J M F, Schuhmann K, Taqqu D, Veloso J F C A, Voss A, Pohl R 2011 Can. J. Phys. 89 47

    [69]

    Angeli I, Marinova K P 2013 Atom. Data Nucl. Data Tab. 99 69

    [70]

    Sun Y, Feng G P, Cheng C F, Tu L Y, Pan H, Yang G M, Hu S M 2012 Acta Phys. Sin. 61 170601 (in Chinese) [孙羽, 冯高平, 程存峰, 涂乐义, 潘虎, 杨国民, 胡水明 2012 61 170601]

    [71]

    Cheng C F, Jiang W, Yang G M, Sun Y R, Pan H, Gao Y, Liu A W, Hu S M 2010 Rev. Sci. Instr. 81 123106

    [72]

    Vansteenkiste N, Gerz C, Kaiser R, Hollberg L, Salomon C, Aspect A 1991 J. Phys. Ⅱ France 1 1407

    [73]

    Rooijakkers W, Hogervorst W, Vassen W 1996 Opt. Comm. 123 321

    [74]

    Breuer H 1965 Rev. Sci. Instr. 36 1666

    [75]

    Bolinger L, Prammer M G, Leigh J S 1989 J. Mag. Res. 81 162

    [76]

    Feng G P, Sun Y, Zheng X, Hu S M 2014 Acta Phys. Sin. 63 123201 (in Chinese) [冯高平, 孙羽, 郑昕, 胡水明 2014 63 123201]

    [77]

    Drever R W P, Hall J L, Kowalski F V, Hough J, Ford G M, Munley A J, Ward H 1983 Appl. Phys. B 31 97

    [78]

    Prentiss M G, Ezekiel S 1986 Phys. Rev. Lett. 56 46

    [79]

    Minardi F, Artoni M, Cancio P, Inguscio M, Giusfredi G, Carusotto I 1999 Phys. Rev. A 60 4164

    [80]

    Artoni M, Carusotto I, Minardi F 2000 Phys. Rev. A 62 023402

    [81]

    Wieman C E, Noecker M C, Masterson B P, Cooper J 1987 Phys. Rev. Lett. 58 1738

    [82]

    Salomon C, Dalibard J, Aspect A, Metcalf H, Cohen-Tannoudji C 1987 Phys. Rev. Lett. 59 1659

    [83]

    Yan Z C, Drake G W F 1994 Phys. Rev. A 50 R1980

    [84]

    Horbatsch M, Hessels E A 2010 Phys. Rev. A 82 052519

    [85]

    Horbatsch M, Hessels E A 2011 Phys. Rev. A 84 032508

    [86]

    Horbatsch M, Hessels E A 2012 Phys. Rev. A 86 040501

    [87]

    Sansonetti C J, Simien C E, Gillaspy J D, Tan J N, Brewer S M, Brown R C, Wu S J, Porto J V 2011 Phys. Rev. Lett. 107 023001

    [88]

    Brown R C, Wu S J, Porto J V, Sansonetti C J, Simien C E, Brewer S M, Tan J N, Gillaspy J D 2013 Phys. Rev. A 87 032504

    [89]

    Marsman A, Hessels E A, Horbatsch M 2014 Phys. Rev. A 89 043403

    [90]

    Marsman A, Horbatsch M, Hessels E A 2015 J. Phys. Chem. Ref. Data 44 031207

    [91]

    Kleinert M, Dahl M E G, Bergeson S 2016 Phys. Rev. A 94 052511

    [92]

    Vrinceanu D, Kotochigova S, Sadeghpour H R 2004 Phys. Rev. A 69 022714

    [93]

    Pachucki K, Yerokhin V A 2011 J. Phys.: Conf. Ser. 264 012007

    [94]

    Beyer A, Parthey C G, Kolachevsky N, Alnis J, Khabarova K, Pohl R, Peters E, Yost D C, Matveev A, Predehl K, Droste S, Wilken T, Holzwarth R, Hänsch T W, Abgrall M, Rovera D, Salomon C, Laurent P, Udem T 2013 J. Phys.: Conf. Ser. 467 012003

    [95]

    Herrmann M, Haas M, Jentschura U D, Kottmann F, Leibfried D, Saathoff G, Gohle C, Ozawa A, Batteiger V, Knunz S, Kolachevsky N, Schussler H A, Hänsch T W, Udem T 2009 Phys. Rev. A 79 052505

    [96]

    Altmann R K, Galtier S, Dreissen L S, Eikema K S E 2016 Phys. Rev. Lett. 117 173201

    [97]

    Korobov V I, Hilico L, Karr J P 2017 Phys. Rev. Lett. 118 233001

    [98]

    Puchalski M, Komasa J, Czachorowski P, Pahcucki K 2016 Phys. Rev. Lett. 117 263002

    [99]

    Biesheuvel J, Karr J, Hilico L, Eikema K S E, Ubachs W, Koelemeij J C J 2016 Nat. Comm. 7 10385

  • [1] Liu Xin, Wen Wei-Qiang, Li Ji-Guang, Wei Bao-Ren, Xiao Jun. Experimental and theoretical research progress of 2P1/2 2P3/2 transitions of highly charged boron-like ions. Acta Physica Sinica, 2024, 73(20): 203102. doi: 10.7498/aps.73.20241190
    [2] Du Xiao-Jiao, Wei Long, Sun Yu, Hu Shui-Ming. Free electron laser prepared high-intensity metastable helium and helium-like ions. Acta Physica Sinica, 2024, 73(15): 150201. doi: 10.7498/aps.73.20240554
    [3] Xiao Zheng-Rong, Zhang Heng-Zhi, Hua Lin-Qiang, Tang Li-Yan, Liu Xiao-Jun. Precision spectroscopic measurements of few-electron atomic systems in extreme ultraviolet region. Acta Physica Sinica, 2024, 73(20): 204205. doi: 10.7498/aps.73.20241231
    [4] Guan Hua, Qi Xiao-Qiu, Chen Shao-Long, Shi Ting-Yun, Gao Ke-Lin. Precision spectroscopy and nuclear structure information of Li+ ions. Acta Physica Sinica, 2024, 73(20): 204203. doi: 10.7498/aps.73.20241128
    [5] Zhu Xing-Long, Wang Wei-Min, Yu Tong-Pu, He Feng, Chen Min, Weng Su-Ming, Chen Li-Ming, Li Yu-Tong, Sheng Zheng-Ming, Zhang Jie. Research progress of ultrabright γ-ray radiation and electron-positron pair production driven by extremely intense laser fields. Acta Physica Sinica, 2021, 70(8): 085202. doi: 10.7498/aps.70.20202224
    [6] Sun Ting, Wang Yu, Guo Ren-Tong, Lu Zhi-Wei, Li Jian-Xing. Review on laser-driven high-energy polarized electron and positron beams and γ-rays. Acta Physica Sinica, 2021, 70(8): 087901. doi: 10.7498/aps.70.20210009
    [7] Chen Jiao-Jiao, Sun Yu, Wen Jin-Lu, Hu Shui-Ming. A bright and stable beam of slow metastable helium atoms. Acta Physica Sinica, 2021, 70(13): 133201. doi: 10.7498/aps.70.20201833
    [8] Lou Bing-Qiong, Li Fang, Wang Pei-Yan, Wang Li-Ming, Tang Yong-Bo. Ab initio calculation of hyperfine-structure constant A of Fr and evaluation of magnetic dipole moments of Fr isotopes. Acta Physica Sinica, 2019, 68(9): 093101. doi: 10.7498/aps.68.20190113
    [9] Lu Dao-Ming. Tripartite entanglement properties of coupled three atoms in cavity quantum electrodynamics. Acta Physica Sinica, 2014, 63(6): 060301. doi: 10.7498/aps.63.060301
    [10] Li Wen-Fang, Du Jin-Jin, Wen Rui-Juan, Yang Peng-Fei, Li Gang, Zhang Tian-Cai. Single-atom transfer in a strongly coupled cavity quantum electrodynamics: experiment and Monte Carlo simulation. Acta Physica Sinica, 2014, 63(24): 244205. doi: 10.7498/aps.63.244205
    [11] Feng Gao-Ping, Sun Yu, Zheng Xin, Hu Shui-Ming. Design and measurement of a magnetic field for precision spectroscopy of helium. Acta Physica Sinica, 2014, 63(12): 123201. doi: 10.7498/aps.63.123201
    [12] Sun Yu, Feng Gao-Ping, Cheng Cun-Feng, Tu Le-Yi, Pan Hu, Yang Guo-Min, Hu Shui-Ming. Precision spectroscopy of helium using a laser-cooled atomic beam. Acta Physica Sinica, 2012, 61(17): 170601. doi: 10.7498/aps.61.170601
    [13] Huang Shi-Zhong, Ma Kun, Wu Chang-Yi, Ni Xiu-Bo. Energy and relativistic correction of the 1sns configuration in helium. Acta Physica Sinica, 2008, 57(9): 5469-5475. doi: 10.7498/aps.57.5469
    [14] He Li-Ming, Cao Wei, Chen Xue-Qian, Zhu Yun-Xia. Calculation of helium 1D—3D term intervals for 1snd(n=4—11) states. Acta Physica Sinica, 2005, 54(11): 5077-5081. doi: 10.7498/aps.54.5077
    [15] Liu Yu-Xiao, Zhao Zhen-Hua, Wang Yong-Qiang, Chen Yu-Hong. Variational calculations and relativistic corrections to the nonrelativistic ground energies of the helium atom and the helium-like ions. Acta Physica Sinica, 2005, 54(6): 2620-2624. doi: 10.7498/aps.54.2620
    [16] Zhu Yun-Xia, He Li-Ming, Cao Wei, Ge Zi-Ming. The magnetic fine structure calculation of helium 10G—10M Rydberg states. Acta Physica Sinica, 2005, 54(11): 5082-5088. doi: 10.7498/aps.54.5082
    [17] Yan Hai-Qing, Tang Chen, Zhang Hao, Liu Ming, Zhang Gui-Min. The variable metric algorithm for ground state energy of ionized-donor-bound excitons in semiconductors. Acta Physica Sinica, 2004, 53(11): 3877-3881. doi: 10.7498/aps.53.3877
    [18] Wu Xiao-Li, Gou Bing-Cong, Liu Yi-Dong. Relativistic energies of the singly excited and doubly excited Rydberg series in helium. Acta Physica Sinica, 2004, 53(1): 48-53. doi: 10.7498/aps.53.48
    [19] Jiang Wei-Zhou, Fu De-Ji, Wang Zhen-Xia, Ai Xiao-Bai, Zhu Zhi-Yuan. Effects of quantum electromagnetic dynamics in a cylindrical ring cavity. Acta Physica Sinica, 2003, 52(4): 813-822. doi: 10.7498/aps.52.813
    [20] LIU LIAO. THE FOAM-LIKE STRUCTURE OF SPACE-TIME AND THE CANCELLATION OF THE DIVERGENCE OF QUANTUM ELECTRODYNAMICS. Acta Physica Sinica, 1998, 47(3): 363-367. doi: 10.7498/aps.47.363
Metrics
  • Abstract views:  6581
  • PDF Downloads:  211
  • Cited By: 0
Publishing process
  • Received Date:  08 May 2018
  • Accepted Date:  11 July 2018
  • Published Online:  20 August 2019

/

返回文章
返回
Baidu
map