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CODATA recommended values of the fundamental physical constants: 2018*

Eite Tiesinga†, Peter J. Mohr‡, David B. Newell§, and Barry N. Taylor∥

Eite Tiesinga†

  • Joint Quantum Institute and Joint Center for Quantum Information and Computer Science, College Park, Maryland 20742, USA and National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA

Peter J. Mohr‡, David B. Newell§, and Barry N. Taylor∥

  • National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA

  • †eite.tiesinga@nist.gov
  • ‡mohr@nist.gov
  • §dnewell@nist.gov
  • ∥barry.taylor@nist.gov
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Rev. Mod. Phys. 93, 025010 – Published 30 June, 2021

DOI: https://doi.org/10.1103/RevModPhys.93.025010

Abstract

We report the 2018 self-consistent values of constants and conversion factors of physics and chemistry recommended by the Committee on Data of the International Science Council (CODATA). The recommended values can also be found at physics.nist.gov/constants. The values are based on a least-squares adjustment that takes into account all theoretical and experimental data available through 31 December 2018. A discussion of the major improvements as well as inconsistencies within the data is given. The former include a decrease in the uncertainty of the dimensionless fine-structure constant and a nearly two orders of magnitude improvement of particle masses expressed in units of kg due to the transition to the revised International System of Units (SI) with an exact value for the Planck constant. Further, because the elementary charge, Boltzmann constant, and Avogadro constant also have exact values in the revised SI, many other constants are either exact or have significantly reduced uncertainties. Inconsistencies remain for the gravitational constant and the muon magnetic-moment anomaly. The proton charge radius puzzle has been partially resolved by improved measurements of hydrogen energy levels.

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  • *This review is being published simultaneously by the Journal of Physical and Chemical Reference Data. This report was prepared by the authors under the auspices of the CODATA Task Group on Fundamental Constants. The members of the task group are: F. Bielsa, Bureau International des Poids et Mesures K. Fujii, National Metrology Institute of Japan, Japan S. G. Karshenboim, Pulkovo Observatory, Russian Federation and Max-Planck-Institut für Quantenoptik, Germany H. Margolis, National Physical Laboratory, United Kingdom P. J. Mohr, National Institute of Standards and Technology, United States of America D. B. Newell, National Institute of Standards and Technology, United States of America F. Nez, Laboratoire Kastler-Brossel, France R. Pohl, Johannes Gutenberg-Universität Mainz, Germany K. Pachucki, University of Warsaw, Poland J. Qu, National Institute of Metrology of China, China A. Surzhykov, Physikalisch-Technische Bundesanstalt, Germany E. Tiesinga, National Institute of Standards and Technology, United States of America M. Wang, Institute of Modern Physics, Chinese Academy of Sciences, China B. M. Wood, National Research Council, Canada

Article Text

References (242)

  1. Abe, M., S. Bae, G. Beer, G. Bunce, H. Choi, S. Choi, M. Chung, W. d. Silva, S. Eidelman, and M. Finger, 2019, Prog. Theor. Exp. Phys. 2019, 053C02.
  2. Abe, M., Y. Murata, H. Iinuma, T. Ogitsu, N. Saito, K. Sasaki, T. Mibe, and H. Nakayama, 2018, Nucl. Instrum. Methods Phys. Res., Sect. A 890, 51.
  3. Adikaram, D., et al., 2015, Phys. Rev. Lett. 114, 062003.
  4. Alarcón, J. M., D. W. Higinbotham, C. Weiss, and Z. Ye, 2019, Phys. Rev. C 99, 044303.
  5. Angeli, I., and K. Marinova, 2013, At. Data Nucl. Data Tables 99, 69.
  6. Antognini, A., F. Kottmann, F. Biraben, P. Indelicato, F. Nez, and R. Pohl, 2013, Ann. Phys. (Amsterdam) 331, 127.
  7. Antognini, A., et al., 2013, Science 339, 417.
  8. Aoyama, T., M. Hayakawa, T. Kinoshita, and M. Nio, 2015, Phys. Rev. D 91, 033006.
  9. Aoyama, T., T. Kinoshita, and M. Nio, 2018, Phys. Rev. D 97, 036001.
  10. Aoyama, T., T. Kinoshita, and M. Nio, 2019, Atoms 7, 28.
  11. Armstrong, T. R., and M. P. Fitzgerald, 2003, Phys. Rev. Lett. 91, 201101.
  12. Arnoult, O., F. Nez, L. Julien, and F. Biraben, 2010, Eur. Phys. J. D 60, 243.
  13. Arrington, J., and I. Sick, 2015, J. Phys. Chem. Ref. Data 44, 031204.
  14. Bade, S., L. Djadaojee, M. Andia, P. Cladé, and S. Guellati-Khelifa, 2018, Phys. Rev. Lett. 121, 073603.
  15. Bagley, C. H., and G. G. Luther, 1997, Phys. Rev. Lett. 78, 3047.
  16. Becker, P., H. Bettin, H.-U. Danzebrink, M. Gläser, U. Kuetgens, A. Nicolaus, D. Schiel, P. De Bièvre, S. Valkiers, and P. Taylor, 2003, Metrologia 40, 271.
  17. Becker, P., K. Dorenwendt, G. Ebeling, R. Lauer, W. Lucas, R. Probst, H.-J. Rademacher, G. Reim, P. Seyfried, and H. Siegert, 1981, Phys. Rev. Lett. 46, 1540.
  18. Beier, T., 2000, Phys. Rep. 339, 79.
  19. Beier, T., I. Lindgren, H. Persson, S. Salomonson, P. Sunnergren, H. Häffner, and N. Hermanspahn, 2000, Phys. Rev. A 62, 032510.
  20. Bennett, G. W., et al., 2006, Phys. Rev. D 73, 072003.
  21. Berkeland, D. J., E. A. Hinds, and M. G. Boshier, 1995, Phys. Rev. Lett. 75, 2470.
  22. Bernauer, J. C., and M. O. Distler, 2015 (private communication).
  23. Bernauer, J. C., et al., 2010, Phys. Rev. Lett. 105, 242001.
  24. Bernauer, J. C., et al., 2014, Phys. Rev. C 90, 015206.
  25. Beyer, A., et al., 2016, Opt. Express 24, 17470.
  26. Beyer, A., et al., 2017, Science 358, 79.
  27. Bezginov, N., T. Valdez, M. Horbatsch, A. Marsman, A. C. Vutha, and E. A. Hessels, 2019, Science 365, 1007.
  28. Biraben, F., 2019, C.R. Phys. 20, 671.
  29. Birge, R. T., 1929, Rev. Mod. Phys. 1, 1.
  30. Blum, T., P. A. Boyle, V. Gülpers, T. Izubuchi, L. Jin, C. Jung, A. Jüttner, C. Lehner, A. Portelli, and J. T. Tsang, 2018, Phys. Rev. Lett. 121, 022003.
  31. Borsanyi, S., et al., 2018, Phys. Rev. Lett. 121, 022002.
  32. Bouchendira, R., P. Cladé, S. Guellati-Khélifa, F. Nez, and F. Biraben, 2011, Phys. Rev. Lett. 106, 080801.
  33. Bourzeix, S., B. de Beauvoir, F. Nez, M. D. Plimmer, F. de Tomasi, L. Julien, F. Biraben, and D. N. Stacey, 1996, Phys. Rev. Lett. 76, 384.
  34. Breit, G., 1928, Nature (London) 122, 649.
  35. Breit, G., and I. I. Rabi, 1931, Phys. Rev. 38, 2082.
  36. CIPM, 2016, Decision CIPM/105-15 of the 105th Meeting of the International Committee for Weights and Measures (CIPM). Available at https://www.bipm.org/en/committees/cipm/meeting/105.html.
  37. CIPM, 2017, Decision CIPM/106-10, -11, -12 of the 106th Meeting of the International Committee for Weights and Measures (CIPM). Available at https://www.bipm.org/en/committees/cipm/meeting/106.html.
  38. Cladé, P., 2015, Riv. Nuovo Cimento 38, 173.
  39. Cladé, P., F. Nez, F. Biraben, and S. Guellati-Khelifa, 2019, C.R. Phys. 20, 77.
  40. Close, F. E., and H. Osborn, 1971, Phys. Lett. 34B, 400.
  41. Colangelo, G., M. Hoferichter, A. Nyffeler, and M. Passera, 2014, Phys. Lett. B 735, 90.
  42. Czarnecki, A., M. Dowling, J. Piclum, and R. Szafron, 2018, Phys. Rev. Lett. 120, 043203.
  43. Czarnecki, A., W. J. Marciano, and A. Vainshtein, 2003, Phys. Rev. D 67, 073006.
  44. Czarnecki, A., K. Melnikov, and A. Yelkhovsky, 2000, Phys. Rev. A 63, 012509.
  45. Czarnecki, A., and R. Szafron, 2016, Phys. Rev. A 94, 060501.
  46. Davier, M., A. Hoecker, B. Malaescu, and Z. Zhang, 2017, Eur. Phys. J. C 77, 827.
  47. de Beauvoir, B., F. Nez, L. Julien, B. Cagnac, F. Biraben, D. Touahri, L. Hilico, O. Acef, A. Clairon, and J. J. Zondy, 1997, Phys. Rev. Lett. 78, 440.
  48. Deslattes, R. D., and A. Henins, 1973, Phys. Rev. Lett. 31, 972.
  49. Dorokhov, A. E., A. E. Radzhabov, and A. S. Zhevlakov, 2014a, JETP Lett. 100, 133.
  50. Dorokhov, A. E., A. E. Radzhabov, and A. S. Zhevlokov, 2014b, Int. J. Mod. Phys. Conf. Ser. 35, 1460401.
  51. Eides, M. I., 1996, Phys. Rev. A 53, 2953.
  52. Eides, M. I., 2019, Phys. Lett. B 795, 113.
  53. Eides, M. I., and H. Grotch, 1997, Ann. Phys. (N.Y.) 260, 191.
  54. Eides, M. I., H. Grotch, and V. A. Shelyuto, 2001, Phys. Rep. 342, 63.
  55. Eides, M. I., H. Grotch, and V. A. Shelyuto, 2007, Theory of Light Hydrogenic Bound States, Springer Tracts in Modern Physics Vol. 222 (Springer, Berlin, Heidelberg, New York).
  56. Eides, M. I., and V. A. Shelyuto, 2004, Phys. Rev. A 70, 022506.
  57. Eides, M. I., and V. A. Shelyuto, 2007, Can. J. Phys. 85, 509.
  58. Eides, M. I., and V. A. Shelyuto, 2014, Phys. Rev. D 90, 113002.
  59. Erickson, G. W., 1977, J. Phys. Chem. Ref. Data 6, 831.
  60. Estey, B., C. Yu, H. Müller, P.-C. Kuan, and S.-Y. Lan, 2015, Phys. Rev. Lett. 115, 083002.
  61. Faustov, R., 1970, Phys. Lett. 33B, 422.
  62. Ferroglio, L., G. Mana, and E. Massa, 2008, Opt. Express 16, 16877.
  63. Fleurbaey, H., 2017, “Frequency metrology of the 1S-3S transition of hydrogen: Contribution to the proton charge radius puzzle,” Ph.D. thesis (Université Pierre et Marie Curie).
  64. Fleurbaey, H., S. Galtier, S. Thomas, M. Bonnaud, L. Julien, F. Biraben, F. Nez, M. Abgrall, and J. Guéna, 2018, Phys. Rev. Lett. 120, 183001.
  65. Flowers, J. L., B. W. Petley, and M. G. Richards, 1993, Metrologia 30, 75.
  66. Friar, J. L., 1979, Ann. Phys. (N.Y.) 122, 151.
  67. Friar, J. L., and G. L. Payne, 1997, Phys. Rev. A 56, 5173.
  68. Gabrielse, G., S. E. Fayer, T. G. Myers, and X. Fan, 2019, Atoms 7, 45.
  69. Galtier, S., H. Fleurbaey, S. Thomas, L. Julien, F. Biraben, and F. Nez, 2015, J. Phys. Chem. Ref. Data 44, 031201.
  70. Garbacz, P., K. Jackowski, W. Makulski, and R. E. Wasylishen, 2012, J. Phys. Chem. A 116, 11896.
  71. Glazov, D. A., and V. M. Shabaev, 2002, Phys. Lett. A 297, 408.
  72. Gnendiger, C., D. Stöckinger, and H. Stöckinger-Kim, 2013, Phys. Rev. D 88, 053005.
  73. Griffioen, K., C. Carlson, and S. Maddox, 2016, Phys. Rev. C 93, 065207.
  74. Grotch, H., 1970, Phys. Rev. Lett. 24, 39.
  75. Gundlach, J. H., and S. M. Merkowitz, 2000, Phys. Rev. Lett. 85, 2869.
  76. Gundlach, J. H., and S. M. Merkowitz, 2002 (private communication).
  77. Hagiwara, K., R. Liao, A. D. Martin, D. Nomura, and T. Teubner, 2011, J. Phys. G 38, 085003.
  78. Hagley, E. W., and F. M. Pipkin, 1994, Phys. Rev. Lett. 72, 1172.
  79. Hamzeloui, S., J. A. Smith, D. J. Fink, and E. G. Myers, 2017, Phys. Rev. A 96, 060501.
  80. Hanke, M., and E. G. Kessler, 2005, J. Phys. D 38, A117.
  81. Hanneke, D., S. Fogwell, and G. Gabrielse, 2008, Phys. Rev. Lett. 100, 120801.
  82. Härtwig, J., S. Grosswig, P. Becker, and D. Windisch, 1991, Phys. Status Solidi A 125, 79.
  83. Hayward, T. B., and K. A. Griffioen, 2020, Nucl. Phys. A999, 121767.
  84. Heiße, F., et al., 2017, Phys. Rev. Lett. 119, 033001.
  85. Horbatsch, M., and E. A. Hessels, 2010, Phys. Rev. A 82, 052519.
  86. Horbatsch, M., and E. A. Hessels, 2011, Phys. Rev. A 84, 032508.
  87. Horbatsch, M., E. A. Hessels, and A. Pineda, 2017, Phys. Rev. C 95, 035203.
  88. Hu, Z.-K., J.-Q. Guo, and J. Luo, 2005, Phys. Rev. D 71, 127505.
  89. Huang, W. J., G. Audi, M. Wang, F. G. Kondev, S. Naimi, and X. Xu, 2017, Chin. Phys. C 41, 030002.
  90. Ivanov, V. G., S. G. Karshenboim, and R. N. Lee, 2009, Phys. Rev. A 79, 012512.
  91. Jegerlehner, F., 2018, EPJ Web Conf. 166, 00022.
  92. Jegerlehner, F., 2019, EPJ Web Conf. 218, 01003.
  93. Jegerlehner, F., and A. Nyffeler, 2009, Phys. Rep. 477, 1.
  94. Jentschura, U. D., 2003, J. Phys. A 36, L229.
  95. Jentschura, U. D., 2006, Phys. Rev. A 74, 062517.
  96. Jentschura, U. D., 2009, Phys. Rev. A 79, 044501.
  97. Jentschura, U. D., A. Czarnecki, and K. Pachucki, 2005, Phys. Rev. A 72, 062102.
  98. Jentschura, U. D., A. Czarnecki, K. Pachucki, and V. A. Yerokhin, 2006, Int. J. Mass Spectrom. 251, 102.
  99. Jentschura, U. D., and P. J. Mohr, 2002, Can. J. Phys. 80, 633.
  100. Kalinowski, M., 2019, Phys. Rev. A 99, 030501.
  101. Karagioz, O. V., and V. P. Izmailov, 1996, Izmer. Tekh. 39, 3.
  102. Karshenboim, S. G., 2000, Phys. Lett. A 266, 380.
  103. Karshenboim, S. G., and V. G. Ivanov, 2018a, Phys. Rev. A 97, 022506.
  104. Karshenboim, S. G., and V. G. Ivanov, 2018b, Phys. Rev. A 98, 022522.
  105. Karshenboim, S. G., V. G. Ivanov, and V. M. Shabaev, 1999, Phys. Scr. T80, 491.
  106. Karshenboim, S. G., V. G. Ivanov, and V. M. Shabaev, 2000, Zh. Eksp. Teor. Fiz. 117, 67 [J. Exp. Theor. Phys. 90, 59 (2000)].
  107. Karshenboim, S. G., V. G. Ivanov, and V. M. Shabaev, 2001a, Can. J. Phys. 79, 81.
  108. Karshenboim, S. G., V. G. Ivanov, and V. M. Shabaev, 2001b, Zh. Eksp. Teor. Fiz. 120, 546 [J. Exp. Theor. Phys. 93, 477 (2001)].
  109. Karshenboim, S. G., E. Y. Korzinin, V. A. Shelyuto, and V. G. Ivanov, 2015, J. Phys. Chem. Ref. Data 44, 031202.
  110. Karshenboim, S. G., V. A. Shelyuto, and A. I. Vainshtein, 2008, Phys. Rev. D 78, 065036.
  111. Keshavarzi, A., 2019, EPJ Web Conf. 212, 05003.
  112. Keshavarzi, A., D. Nomura, and T. Teubner, 2018, Phys. Rev. D 97, 114025.
  113. Kessler, E. G., C. I. Szabo, J. P. Cline, A. Henins, L. T. Hudson, M. H. Mendenhall, and M. D. Vaudin, 2017, J. Res. Natl. Inst. Stand. Technol. 122, 24.
  114. Kessler, Jr., E. G., R. D. Deslattes, and A. Henins, 1979, Phys. Rev. A 19, 215.
  115. Kessler, Jr., E. G., M. S. Dewey, R. D. Deslattes, A. Henins, H. G. Börner, M. Jentschel, and H. Lehmann, 2000, in Capture Gamma-Ray Spectroscopy and Related Topics, edited by Wender, S. (American Institute of Physics, Melville, NY), pp. 400–407.
  116. Kessler, Jr., E. G., J. E. Schweppe, and R. D. Deslattes, 1997, IEEE Trans. Instrum. Meas. 46, 551.
  117. Kleinevoß, U., 2002, “Bestimmung der Newtonschen Gravitationskonstanten G,” Ph.D. thesis (University of Wuppertal).
  118. Kleinvoß, U., H. Meyer, H. Piel, and S. Hartmann, 2002 (private communication).
  119. Köhler, F., S. Sturm, A. Kracke, G. Werth, W. Quint, and K. Blaum, 2015, J. Phys. B 48, 144032.
  120. Kramers, H. A., and W. Heisenberg, 1925, Z. Phys. 31, 681.
  121. Krauth, J. J., M. Diepold, B. Franke, A. Antognini, F. Kottmann, and R. Pohl, 2016, Ann. Phys. (Amsterdam) 366, 168.
  122. Kurz, A., T. Liu, P. Marquard, and M. Steinhauser, 2014a, Nucl. Phys. B879, 1.
  123. Kurz, A., T. Liu, P. Marquard, and M. Steinhauser, 2014b, Phys. Lett. B 734, 144.
  124. Laporta, S., 1993, Nuovo Cimento Soc. Ital. Fis. 106A, 675.
  125. Laporta, S., 2017, Phys. Lett. B 772, 232.
  126. Laporta, S., and E. Remiddi, 1993, Phys. Lett. B 301, 440.
  127. Lee, G., J. R. Arrington, and R. J. Hill, 2015, Phys. Rev. D 92, 013013.
  128. Lee, R. N., A. I. Milstein, I. S. Terekhov, and S. G. Karshenboim, 2005, Phys. Rev. A 71, 052501.
  129. Li, Q., et al., 2018, Nature (London) 560, 582.
  130. Liu, J., D. Sprecher, C. Jungen, W. Ubachs, and F. Merkt, 2010, J. Chem. Phys. 132, 154301.
  131. Liu, W., et al., 1999, Phys. Rev. Lett. 82, 711.
  132. Low, F., 1952, Phys. Rev. 88, 53.
  133. Lundeen, S., and F. Pipkin, 1981, Phys. Rev. Lett. 46, 232.
  134. Lundeen, S. R., and F. M. Pipkin, 1986, Metrologia 22, 9.
  135. Luo, J., Q. Liu, L.-C. Tu, C.-G. Shao, L.-X. Liu, S.-Q. Yang, Q. Li, and Y.-T. Zhang, 2009, Phys. Rev. Lett. 102, 240801.
  136. Luther, G. G., and W. R. Towler, 1982, Phys. Rev. Lett. 48, 121.
  137. Mariam, F. G., 1981, “High precision measurement of the muonium ground state hyperfine interval and the muon magnetic moment,” Ph.D. thesis (Yale University).
  138. Mariam, F. G., et al., 1982, Phys. Rev. Lett. 49, 993.
  139. Marrus, R., and P. J. Mohr, 1979, Adv. At. Mol. Phys. 14, 181.
  140. Marsman, A., M. Horbatsch, Z. A. Corriveau, and E. A. Hessels, 2018, Phys. Rev. A 98, 012509.
  141. Martin, J., U. Kuetgens, J. Stümpel, and P. Becker, 1998, Metrologia 35, 811.
  142. Massa, E., G. Mana, and U. Kuetgens, 2009, Metrologia 46, 249.
  143. Massa, E., G. Mana, U. Kuetgens, and L. Ferroglio, 2009, New J. Phys. 11, 053013.
  144. Matveev, A., et al., 2013, Phys. Rev. Lett. 110, 230801.
  145. Mihovilovič, M., et al., 2017, Phys. Lett. B 771, 194.
  146. Mihovilovič, M., et al., 2019, arXiv:1905.11182.
  147. Millman, S., I. I. Rabi, and J. R. Zacharias, 1938, Phys. Rev. 53, 384.
  148. Mills, I. M., P. J. Mohr, T. J. Quinn, B. N. Taylor, and E. R. Williams, 2011, Phil. Trans. R. Soc. A 369, 3907.
  149. Mohr, P. J., D. B. Newell, and B. N. Taylor, 2016a, Rev. Mod. Phys. 88, 035009.
  150. Mohr, P. J., D. B. Newell, and B. N. Taylor, 2016b, J. Phys. Chem. Ref. Data 45, 043102.
  151. Mohr, P. J., D. B. Newell, B. N. Taylor, and E. Tiesinga, 2018, Metrologia 55, 125.
  152. Mohr, P. J., and B. N. Taylor, 1999, J. Phys. Chem. Ref. Data 28, 1713.
  153. Mohr, P. J., and B. N. Taylor, 2000, Rev. Mod. Phys. 72, 351.
  154. Mohr, P. J., and B. N. Taylor, 2005, Rev. Mod. Phys. 77, 1.
  155. Mohr, P. J., B. N. Taylor, and D. B. Newell, 2008a, Rev. Mod. Phys. 80, 633.
  156. Mohr, P. J., B. N. Taylor, and D. B. Newell, 2008b, J. Phys. Chem. Ref. Data 37, 1187.
  157. Mohr, P. J., B. N. Taylor, and D. B. Newell, 2012a, Rev. Mod. Phys. 84, 1527.
  158. Mohr, P. J., B. N. Taylor, and D. B. Newell, 2012b, J. Phys. Chem. Ref. Data 41, 043109.
  159. Mooser, A., S. Ulmer, K. Blaum, K. Franke, H. Kracke, C. Leiteritz, W. Quint, C. C. Rodegheri, C. Smorra, and J. Walz, 2014, Nature (London) 509, 596.
  160. Myers, E. G., 2019, Atoms 7, 37.
  161. Myers, E. G., A. Wagner, H. Kracke, and B. A. Wesson, 2015, Phys. Rev. Lett. 114, 013003.
  162. Neronov, Y. I., and V. S. Aleksandrov, 2011, Pis’ma Zh. Eksp. Teor. Fiz. 94, 452 [JETP Lett. 94, 418 (2011)].
  163. Neronov, Y. I., and S. G. Karshenboim, 2003, Phys. Lett. A 318, 126.
  164. Neronov, Y. I., and N. N. Seregin, 2012, Zh. Eksp. Teor. Fiz. 115, 777 [J. Exp. Theor. Phys. 115, 777 (2012)].
  165. Newell, D. B., et al., 2018, Metrologia 55, L13.
  166. Newman, R., M. Bantel, E. Berg, and W. Cross, 2014, Phil. Trans. R. Soc. A 372, 20140025.
  167. Newton, G., D. A. Andrews, and P. J. Unsworth, 1979, Phil. Trans. R. Soc. A 290, 373.
  168. Nomura, D., and T. Teubner, 2013, Nucl. Phys. B867, 236.
  169. Nyffeler, A., 2014, Int. J. Mod. Phys. Conf. Ser. 35, 1460456.
  170. Pachucki, K., 1996, Phys. Rev. A 53, 2092.
  171. Pachucki, K., A. Czarnecki, U. D. Jentschura, and V. A. Yerokhin, 2005, Phys. Rev. A 72, 022108.
  172. Pachucki, K., U. D. Jentschura, and V. A. Yerokhin, 2004, Phys. Rev. Lett. 93, 150401; 94, 229902(E) (2005).
  173. Pachucki, K., V. Patkóš, and V. A. Yerokhin, 2018, Phys. Rev. A 97, 062511.
  174. Pachucki, K., and M. Puchalski, 2017, Phys. Rev. A 96, 032503.
  175. Parker, R. H., C. Yu, W. Zhong, B. Estey, and H. Müller, 2018, Science 360, 191.
  176. Parks, H. V., and J. E. Faller, 2010, Phys. Rev. Lett. 105, 110801.
  177. Parks, H. V., and J. E. Faller, 2019, Phys. Rev. Lett. 122, 199901.
  178. Parthey, C. G., A. Matveev, J. Alnis, R. Pohl, T. Udem, U. D. Jentschura, N. Kolachevsky, and T. W. Hänsch, 2010, Phys. Rev. Lett. 104, 233001.
  179. Parthey, C. G., et al., 2011, Phys. Rev. Lett. 107, 203001.
  180. Peset, C., and A. Pineda, 2015, Eur. Phys. J. A 51, 156.
  181. Peters, A., K. Y. Chung, B. Young, J. Hensley, and S. Chu, 1997, Phil. Trans. R. Soc. A 355, 2223.
  182. Pohl, R., et al., 2010, Nature (London) 466, 213.
  183. Pohl, R., et al., 2016, Science 353, 669.
  184. Prevedelli, M., L. Cacciapuoti, G. Rosi, F. Sorrentino, and G. M. Tino, 2014, Phil. Trans. R. Soc. A 372, 20140030.
  185. Puchalski, M., J. Komasa, and K. Pachucki, 2015, Phys. Rev. A 92, 020501.
  186. Quinn, T., H. Parks, C. Speake, and R. Davis, 2013, Phys. Rev. Lett. 111, 101102; 113, 039901(E) (2014).
  187. Quinn, T., C. Speake, H. Parks, and R. Davis, 2014, Phil. Trans. R. Soc. A 372, 20140032.
  188. Quinn, T. J., 1989, Metrologia 26, 69.
  189. Quinn, T. J., C. C. Speake, S. J. Richman, R. S. Davis, and A. Picard, 2001, Phys. Rev. Lett. 87, 111101.
  190. Rosi, G., F. Sorrentino, L. Cacciapuoti, M. Prevedelli, and G. M. Tino, 2014, Nature (London) 510, 518.
  191. Rothleitner, C., and S. Schlamminger, 2017, Rev. Sci. Instrum. 88, 111101.
  192. Roy, P., et al., 2020, Nucl. Instrum. Methods Phys. Res., Sect. A 949, 162874.
  193. Rudziński, A., M. Puchalski, and K. Pachucki, 2009, J. Chem. Phys. 130, 244102.
  194. Safronova, M. S., D. Budker, D. DeMille, D. F. J. Kimball, A. Derevianko, and C. W. Clark, 2018, Rev. Mod. Phys. 90, 025008.
  195. Sapirstein, J. R., and D. R. Yennie, 1990, in Quantum Electrodynamics, edited by Kinoshita, T. (World Scientific, Singapore), Chap. 12, pp. 560–672.
  196. Schlamminger, S., E. Holzschuh, W. Kündig, F. Nolting, R. E. Pixley, J. Schurr, and U. Straumann, 2006, Phys. Rev. D 74, 082001.
  197. Schneider, G., et al., 2017, Science 358, 1081.
  198. Schwob, C., L. Jozefowski, B. de Beauvoir, L. Hilico, F. Nez, L. Julien, F. Biraben, O. Acef, and A. Clairon, 1999, Phys. Rev. Lett. 82, 4960; 86, 4193(E) (2001).
  199. Shabaev, V. M., and V. A. Yerokhin, 2002, Phys. Rev. Lett. 88, 091801.
  200. Shelyuto, V. A., S. G. Karshenboim, and S. I. Eidelman, 2018, Phys. Rev. D 97, 053001.
  201. Sick, I., 2001, Prog. Part. Nucl. Phys. 47, 245.
  202. Sick, I., 2003, Phys. Lett. B 576, 62.
  203. Sick, I., 2007, Can. J. Phys. 85, 409.
  204. Sick, I., 2008, in Precision Physics of Simple Atoms and Molecules, edited by Karshenboim, S. G., Lecture Notes in Physics Vol. 745 (Springer, Berlin, Heidelberg), pp. 57–77.
  205. Sick, I., and D. Trautmann, 1998, Nucl. Phys. A637, 559.
  206. Simon, G. G., C. Schmitt, and V. H. Walther, 1981, Nucl. Phys. A364, 285.
  207. Sommerfeld, A., 1916, Ann. Phys. (Berlin) 356, 1.
  208. Sprecher, D., J. Liu, C. Jungen, W. Ubachs, and F. Merkt, 2010, J. Chem. Phys. 133, 111102.
  209. Strasser, P., et al., 2019, EPJ Web Conf. 198, 00003.
  210. Sturm, S., 2015 (private communication).
  211. Sturm, S., F. Köhler, J. Zatorski, A. Wagner, Z. Harman, G. Werth, W. Quint, C. H. Keitel, and K. Blaum, 2014, Nature (London) 506, 467.
  212. Sturm, S., A. Wagner, M. Kretzschmar, W. Quint, G. Werth, and K. Blaum, 2013, Phys. Rev. A 87, 030501.
  213. Tanabashi, M., et al., 2018, Phys. Rev. D 98, 030001.
  214. Taylor, B. N., and T. J. Witt, 1989, Metrologia 26, 47.
  215. Thomas, S., H. Fleurbaey, S. Galtier, L. Julien, F. Biraben, and F. Nez, 2019, Ann. Phys. (Berlin) 531, 1800363.
  216. Tomalak, O., 2019, Eur. Phys. J. A 55, 64.
  217. Tu, L.-C., Q. Li, Q.-L. Wang, C.-G. Shao, S.-Q. Yang, L.-X. Liu, Q. Liu, and J. Luo, 2010, Phys. Rev. D 82, 022001.
  218. Van Dyck, Jr., R. S., D. B. Pinegar, S. V. Liew, and S. L. Zafonte, 2006, Int. J. Mass Spectrom. 251, 231.
  219. Volkov, S., 2019, Phys. Rev. D 100, 096004.
  220. Vorobyev, A. A., 2019, Phys. Part. Nucl. Lett. 16, 524.
  221. Vutha, A. C., and E. A. Hessels, 2015, Phys. Rev. A 92, 052504.
  222. Wang, M., G. Audi, F. G. Kondev, W. J. Huang, S. Naimi, and X. Xu, 2017, Chin. Phys. C 41, 030003.
  223. Weitz, M., A. Huber, F. Schmidt-Kaler, D. Leibfried, W. Vassen, C. Zimmermann, K. Pachucki, T. W. Hänsch, L. Julien, and F. Biraben, 1995, Phys. Rev. A 52, 2664.
  224. Windisch, D., and P. Becker, 1990, Phys. Status Solidi A 118, 379.
  225. Xiong, W., et al., 2019, Nature (London) 575, 147.
  226. Yerokhin, V. A., 2009, Phys. Rev. A 80, 040501.
  227. Yerokhin, V. A., 2011, Phys. Rev. A 83, 012507.
  228. Yerokhin, V. A., 2018, Phys. Rev. A 97, 052509.
  229. Yerokhin, V. A., and Z. Harman, 2013, Phys. Rev. A 88, 042502.
  230. Yerokhin, V. A., and Z. Harman, 2017, Phys. Rev. A 95, 060501.
  231. Yerokhin, V. A., P. Indelicato, and V. M. Shabaev, 2008, Phys. Rev. A 77, 062510.
  232. Yerokhin, V. A., and U. D. Jentschura, 2008, Phys. Rev. Lett. 100, 163001.
  233. Yerokhin, V. A., and U. D. Jentschura, 2010, Phys. Rev. A 81, 012502.
  234. Yerokhin, V. A., K. Pachucki, and V. Patkóš, 2019, Ann. Phys. (Berlin) 531, 1800324.
  235. Yerokhin, V. A., and V. M. Shabaev, 2015, Phys. Rev. Lett. 115, 233002.
  236. Yerokhin, V. A., and V. M. Shabaev, 2016, Phys. Rev. A 93, 062514.
  237. Yost, D. C., A. Matveev, A. Grinin, E. Peters, L. Maisenbacher, A. Beyer, R. Pohl, N. Kolachevsky, T. W. Hänsch, and T. Udem, 2016, Phys. Rev. A 93, 042509.
  238. Young, B., M. Kasevich, and S. Chu, 1997, in Atom Interferometry, edited by Berman, P. R. (Academic Press, New York), pp. 363–406.
  239. Yu, C., W. Zhong, B. Estey, J. Kwan, R. H. Parker, and H. Müller, 2019, Ann. Phys. (Berlin) 531, 1800346.
  240. Zafonte, S. L., and R. S. Van Dyck, Jr., 2015, Metrologia 52, 280.
  241. Zatorski, J., B. Sikora, S. G. Karshenboim, S. Sturm, F. Köhler-Langes, K. Blaum, C. H. Keitel, and Z. Harman, 2017, Phys. Rev. A 96, 012502.
  242. Zhou, S., P. Giulani, J. Piekarewicz, A. Bhattacharya, and D. Pati, 2019, Phys. Rev. C 99, 055202.

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Rev. Mod. Phys. 93, 025010– Published 30 June, 2021
  • Received 10 December 2020
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