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Measuring the electric dipole moment of the electron in BaF

Abstract

We investigate the merits of a measurement of the permanent electric dipole moment of the electron (eEDM) with barium monofluoride molecules, thereby searching for phenomena of CP violation beyond those incorporated in the standard model (SM) of particle physics. Although the BaF molecule has a smaller enhancement factor in terms of the effective electric field than other molecules used in current studies (YbF, ThO and ThF+), we show that a competitive measurement is possible by combining Stark-deceleration, laser-cooling and an intense primary cold source of BaF molecules. With the long coherent interaction times obtainable in a cold beam of BaF, a sensitivity of 5 × 10−30 e⋅cm for an eEDM is feasible. We describe the rationale, the challenges and the experimental methods envisioned to achieve this target.

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References

  1. 1.

    G. Aad et al., Phys. Lett. B 716, 1 (2012)

  2. 2.

    S. Chatrchyan et al., Phys. Lett. B 716, 30 (2012)

  3. 3.

    G. Bertone, D. Hooper, J. Silk, Phys. Rep. 405, 279 (2005)

  4. 4.

    R. Aaij et al., Int. J. Mod. Phys. A 30, 1530022 (2015)

  5. 5.

    M. Pospelov, A. Ritz, Ann. Phys. 318, 119 (2005)

  6. 6.

    V. Cirigliano, W. Dekens, J. de Vries, E. Mereghetti, Phys. Rev. D 94, 016002 (2016)

  7. 7.

    A. Czarnecki, W.J. Marciano, Adv. Ser. Direct. High Energy Phys. 20, 11 (2009)

  8. 8.

    J.J. Hudson, D.M. Kara, I.J. Smallman, B.E. Sauer, M.R. Tarbutt, E.A. Hinds, Nature 473, 493 (2011)

  9. 9.

    J. Baron, W.C. Campbell, D. DeMille, J.M. Doyle, G. Gabrielse, Y.V. Gurevich, P.W. Hess, N.R. Hutzler, E. Kirilov, I. Kozyryev, B.R. O’Leary, C.D. Panda, M.F. Parsons, E.S. Petrik, B. Spaun, A.C. Vutha, A.D. West, Science 343, 269 (2014)

  10. 10.

    D. DeMille, Phys. Today 68, 34 (2015)

  11. 11.

    D. DeMille, J.M. Doyle, A.O. Sushkov, Science 357, 990 (2017)

  12. 12.

    E.M. Purcell, N.F. Ramsey, Phys. Rev. 78, 807 (1950)

  13. 13.

    P.G.H. Sandars, Phys. Rev. Lett. 19, 1396 (1967)

  14. 14.

    W.C. Griffith, M.D. Swallows, T.H. Loftus, M.V. Romalis, B.R. Heckel, E.N. Fortson, Phys. Rev. Lett. 102, 101601 (2009)

  15. 15.

    B.C. Regan, E.D. Commins, C.J. Schmidt, D. DeMille, Phys. Rev. Lett. 88, 071805 (2002)

  16. 16.

    M.A. Rosenberry, T.E. Chupp, Phys. Rev. Lett. 86, 22 (2001)

  17. 17.

    C.A. Baker, D.D. Doyle, P. Geltenbort, K. Green, M.G.D. van der Grinten, P.G. Harris, P. Iaydjiev, S.N. Ivanov, D.J.R. May, J.M. Pendlebury, J.D. Richardson, D. Shiers, K.F. Smith, Phys. Rev. Lett. 97, 131801 (2006)

  18. 18.

    K. Jungmann, Ann. Phys. 525, 550 (2013)

  19. 19.

    V.A. Dzuba, V.V. Flambaum, Int. J. Mod. Phys. E 21, 1230010 (2012)

  20. 20.

    J.S.M. Ginges, V.V. Flambaum, Phys. Rep. 397, 63 (2004)

  21. 21.

    J. Engel, M.J. Ramsey-Musolf, U. van Kolck, Prog. Part. Nuc. Phys. 71, 74 (2013)

  22. 22.

    M. Abe, G. Gopakumar, M. Hada, B.P. Das, H. Tatewaki, D. Mukherjee, Phys. Rev. A 90, 022501 (2014)

  23. 23.

    E.R. Meyer, J.L. Bohn, Phys. Rev. A 78, 010502 (2008)

  24. 24.

    L.V. Skripnikov, A.N. Petrov, A.V. Titov, J. Chem. Phys. 139, 221103 (2013)

  25. 25.

    T. Fleig, M.K. Nayak, J. Mol. Spectrosc. 300, 16 (2014)

  26. 26.

    L.V. Skripnikov, A.V. Titov, J. Chem. Phys. 142, 024301 (2015)

  27. 27.

    L.V. Skripnikov, J. Chem. Phys. 145, 214301 (2016)

  28. 28.

    M. Denis, T. Fleig, J. Chem. Phys. 145, 214307 (2016)

  29. 29.

    J. Lee, J. Chen, L.V. Skripnikov, A.N. Petrov, A.V. Titov, N.S. Mosyagin, A.E. Leanhardt, Phys. Rev. A 87, 022516 (2013)

  30. 30.

    S. Eckel, P. Hamilton, E. Kirilov, H.W. Smith, D. DeMille, Phys. Rev. A 87, 052130 (2013)

  31. 31.

    H. Loh, K.C. Cossel, M.C. Grau, K.-K. Ni, E.R. Meyer, J.L. Bohn, J. Ye, E.A. Cornell, Science 342, 1220 (2013)

  32. 32.

    W.B. Cairncross, D.N. Gresh, M. Grau, K.C. Cossel, T.S. Roussy, Y. Ni, Y. Zhou, J. Ye, E.A. Cornell, Phys. Rev. Lett. 119, 153001 (2017)

  33. 33.

    E.A. Hinds, Phys. Scr. 1997, 34 (1997)

  34. 34.

    M.G. Kozlov, L.N. Labzowsky, J. Phys. B 28, 1993, (1995)

  35. 35.

    M.K. Nayak, R.K. Chaudhuri, J. Phys. B 39, 1231 (2006)

  36. 36.

    M. Fukuda, K. Soga, M. Senami, A. Tachibana, Phys. Rev. A 93, 012518 (2016)

  37. 37.

    K. Gaul, R. Berger, J. Chem. Phys. 147, 014109 (2017)

  38. 38.

    M. Abe, V.S. Prasannaa, B.P. Das, Phys. Rev. A 97, 032515 (2018)

  39. 39.

    P.A.B. Haase, M. Iliaš, E. Eliav, P. Aggarwal, H.L. Bethlem, A. Borschevsky, M. Denis, K. Esajas, Y. Hao, S. Hoekstra, K. Jungmann, T.B. Meijknecht, M.C. Mooij, R.G.E. Timmermans, W. Ubachs, L. Willmann, A. Zapara, in prep.

  40. 40.

    A. Osterwalder, S.A. Meek, G. Hammer, H. Haak, G. Meijer, Phys. Rev. A 81, 051401 (2010)

  41. 41.

    N.E. Bulleid, R.J. Hendricks, E.A. Hinds, S.A. Meek, G. Meijer, A. Osterwalder, M.R. Tarbutt, Phys. Rev. A 86, 021404 (2012)

  42. 42.

    M. Quintero-Pérez, T.E. Wall, S. Hoekstra, H.L. Bethlem, J. Mol. Spectrosc. 300, 112 (2014)

  43. 43.

    J.E. van den Berg, S.C. Mathavan, C. Meinema, J. Nauta, T.H. Nijbroek, K. Jungmann, H.L. Bethlem, S. Hoekstra, J. Mol. Spectrosc. 300, 22 (2014)

  44. 44.

    E.S. Shuman, J.F. Barry, D. DeMille, Nature 467, 820 (2010)

  45. 45.

    D. Patterson, J.M. Doyle, J. Chem. Phys. 126, 154307 (2007)

  46. 46.

    J. Lim, J.R. Almond, M.A. Trigatzis, J.A. Devlin, N.J. Fitch, B.E. Sauer, M.R. Tarbutt, E.A. Hinds, Phys. Rev. Lett. 120, 123201 (2018)

  47. 47.

    J. Baron, W.C. Campbell, D. DeMille, J.M. Doyle, G. Gabrielse, Y.V. Gurevich, P.W. Hess, N.R. Hutzler, E. Kirilov, I. Kozyryev, B.R. O’Leary, C.D. Panda, M.F. Parsons, B. Spaun, A.C. Vutha, A.D. West, E.P. West, New J. Phys. 19, 073029 (2017)

  48. 48.

    D.M. Kara, I.J. Smallman, J.J. Hudson, B.E. Sauer, M.R. Tarbutt, E.A. Hinds, New J. Phys. 14, 103051 (2012)

  49. 49.

    J.J. Hudson, M.R. Tarbutt, B.E. Sauer, E.A. Hinds, New J. Phys. 16, 013005 (2014)

  50. 50.

    S.C. Mathavan, A. Zapara, Q. Esajas, S. Hoekstra, ChemPhysChem 17, 3709 (2016)

  51. 51.

    N.R. Hutzler, M.F. Parsons, Y.V. Gurevich, P.W. Hess, E. Petrik, B. Spaun, A.C. Vutha, D. DeMille, G. Gabrielse, J.M. Doyle, Phys. Chem. Chem. Phys. 13, 18976 (2011)

  52. 52.

    N.E. Bulleid, S.M. Skoff, R.J. Hendricks, B.E. Sauer, E.A. Hinds, M.R. Tarbutt, Phys. Chem. Chem. Phys. 15, 12299 (2013)

  53. 53.

    S.E. Maxwell, N. Brahms, R. DeCarvalho, D.R. Glenn, J.S. Helton, S.V. Nguyen, D. Patterson, J. Petricka, D. DeMille, J.M. Doyle, Phys. Rev. Lett. 95, 173201 (2005)

  54. 54.

    L.D. van Buuren, C. Sommer, M. Motsch, S. Pohle, M. Schenk, J. Bayerl, P.W.H. Pinkse, G. Rempe, Phys. Rev. Lett. 102, 033001 (2009)

  55. 55.

    S.M. Skoff, R.J. Hendricks, C.D.J. Sinclair, J.J. Hudson, D.M. Segal, B.E. Sauer, E.A. Hinds, M.R. Tarbutt, Phys. Rev. A 83, 023418 (2011)

  56. 56.

    N.R. Hutzler, H.-I. Lu, J.M. Doyle, Chem. Rev. 112, 4803 (2012)

  57. 57.

    Y. Zhou, D.D. Grimes, T.J. Barnum, D. Patterson, S.L. Coy, E. Klein, J.S. Muenter, R.W. Field, Chem. Phys. Lett. 640, 124 (2015)

  58. 58.

    C. Cheng, A.P.P. van der Poel, P. Jansen, M. Quintero-Pérez, T.E. Wall, W. Ubachs, H.L. Bethlem, Phys. Rev. Lett. 117, 253201 (2016)

  59. 59.

    P.C. Zieger, S.Y.T. van de Meerakker, C.E. Heiner, H.L. Bethlem, A.J.A. van Roij, G. Meijer, Phys. Rev. Lett. 105, 173001 (2010)

  60. 60.

    M.I. Fabrikant, T. Li, N.J. Fitch, N. Farrow, J.D. Weinstein, H.J. Lewandowski, Phys. Rev. A 90, 033418 (2014)

  61. 61.

    S.Y.T.van de Meerakker, H.L. Bethlem, N. Vanhaecke, G. Meijer, Chem. Rev. 112, 4828 (2012)

  62. 62.

    J.E. van den Berg, S.H. Turkesteen, E.B. Prinsen, S. Hoekstra, Eur. Phys. J. D 66, 235 (2012)

  63. 63.

    M. Quintero-Pérez, P. Jansen, T.E. Wall, J.E. van den Berg, S. Hoekstra, H.L. Bethlem, Phys. Rev. Lett. 110, 133003 (2013)

  64. 64.

    P. Jansen, M. Quintero-Pérez, T.E. Wall, J.E. van den Berg, S. Hoekstra, H.L. Bethlem, Phys. Rev. A 88, 043424 (2013)

  65. 65.

    M.T. Hummon, M. Yeo, B.K. Stuhl, A.L. Collopy, Y. Xia, J. Ye, Phys. Rev. Lett. 110, 143001 (2013)

  66. 66.

    V. Zhelyazkova, A. Cournol, T.E. Wall, A. Matsushima, J.J. Hudson, E.A. Hinds, M.R. Tarbutt, B.E. Sauer, Phys. Rev. A 89, 053416 (2014)

  67. 67.

    J.F. Barry, D.J. McCarron, E.B. Norrgard, M.H. Steinecker, D. DeMille, Nature 512, 286 (2014)

  68. 68.

    I. Kozyryev, L. Baum, K. Matsuda, B.L. Augenbraun, L. Anderegg, A.P. Sedlack, J.M Doyle, Phys. Rev. Lett. 118, 173201 (2017)

  69. 69.

    S. De, U. Dammalapati, K. Jungmann, L. Willmann, Phys. Rev. A 79, 041402 (2009)

  70. 70.

    L.-E. Berg, T. Olsson, J.-C. Chanteloup, A. Hishikawa, P. Royen, Mol. Phys. 79, 721 (1993)

  71. 71.

    L.-E. Berg, N. Gador, D. Husain, H. Ludwigs, P. Royen, Chem. Phys. Lett. 287, 89 (1998)

  72. 72.

    C. Effantin, J. D’Incan, A. Bernard, G. Fabre, R. Stringat, J. Vergès, R. Barrow, J. Phys. Colloq. 48, 673 (1987)

  73. 73.

    C. Effantin, A. Bernard, J. d’Incan, G. Wannous, J. Vergès, R.F. Barrow, Mol. Phys. 70, 735 (1990)

  74. 74.

    A. Bernard, C. Effantin, J. d’Incan, J. Vergès, R.F. Barrow, Mol. Phys. 70, 747 (1990)

  75. 75.

    A. Bernard, C. Effantin, E. Andrianavalona, J. Vergès, R.F. Barrow, J. Mol. Spectrosc. 152, 174 (1992)

  76. 76.

    T. Chen, W. Bu, B. Yan, Phys. Rev. A 94, 063415 (2016)

  77. 77.

    T. Chen, W. Bu, B. Yan, Phys. Rev. A 96, 053401 (2017)

  78. 78.

    Y. Hao, L.F. Pašteka, L.Visscher; and the NL-eEDM Collaboration: P. Aggarwal, H.L. Bethlem, A. Borschevsky, M. Denis, K. Esajas, P.A.B. Haase, S. Hoekstra, K. Jungmann, T. B. Meijknecht, M. C. Mooij, R. G. E. Timmermans, W. Ubachs, L. Willmann, A. Zapara, in prep.

  79. 79.

    R.F. Barrow, A. Bernard, C. Effantin, J. D’Incan, G. Fabre, A. El Hachimi, R. Stringat, J. Vergès, Chem. Phys. Lett. 147, 535 (1988)

  80. 80.

    S. Kang, F. Kuang, G. Jiang, J. Du, Mol. Phys. 114, 810 (2016)

  81. 81.

    W.E. Ernst, J. Kändler, T. Törring, J. Chem. Phys. 84, 4769 (1986)

  82. 82.

    E. Paperno, H. Koide, I. Sasada, J. Appl. Phys. 87, 5959 (2000)

  83. 83.

    D. Budker, M. Romalis, Nat. Phys. 3, 227 (2007)

  84. 84.

    F. Allmendinger, P. Blümler, M. Doll, O. Grasdijk, W. Heil, K. Jungmann, S. Karpuk, H.-J. Krause, A. Offenhäusser, M. Repetto, U. Schmidt, Y. Sobolev, K. Tullney, L. Willmann, S. Zimmer, Eur. Phys. J. D 71, 98 (2017)

  85. 85.

    O. Grasdijk,Search for the permanent electric dipole moment of 129Xe (University of Groningen, The Netherlands, 2018)

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Correspondence to Steven Hoekstra.

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Aggarwal, P., Bethlem, H.L., Borschevsky, A. et al. Measuring the electric dipole moment of the electron in BaF. Eur. Phys. J. D 72, 197 (2018). https://doi.org/10.1140/epjd/e2018-90192-9

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Keywords

  • Molecular Physics and Chemical Physics