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Novel constraints on light elementary particles and extra-dimensional physics from the Casimir effect

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Abstract

We present supplementary information on the recent indirect measurement of the Casimir pressure between two parallel plates using a micromachined oscillator. The equivalent pressure between the plates is obtained by means of the proximity force approximation after measuring the force gradient between a gold coated sphere and a gold coated plate. The data are compared with a new theoretical approach to the thermal Casimir force based on the use of the Lifshitz formula, combined with a generalized plasma-like dielectric permittivity that takes into account interband transitions of core electrons. The theoretical Casimir pressures calculated using the new approach are compared with those computed in the framework of the previously used impedance approach and also with the Drude model approach. The latter is shown to be excluded by the data at a 99.9% confidence level within the wide separation range from 210 to 620 nm. The level of agreement between the data and theoretical approaches based on the generalized plasma model, or the Leontovich surface impedance, is used to set stronger constraints on the Yukawa forces predicted from the exchange of light elementary particles and/or extra-dimensional physics. The resulting constraints are the strongest in the interaction region from 20 to 86 nm with a largest improvement by a factor of 4.4 at 26 nm.

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References

  1. E. Fischbach, C.L. Talmadge, The Search for Non-Newtonian Gravity (Springer, New York, 1999)

    Book  MATH  Google Scholar 

  2. E.G. Adelberger, B.R. Heckel, A.E. Nelson, Ann. Rev. Nucl. Part. Sci. 53, 77 (2003)

    Article  ADS  Google Scholar 

  3. Y. Fujii, Int. J. Mod. Phys. A 6, 3505 (1991)

    Article  ADS  Google Scholar 

  4. E.G. Adelberger, B.R. Heckel, C.W. Stubbs, W.F. Rogers, Ann. Rev. Nucl. Part. Sci. 41, 269 (1991)

    Article  ADS  Google Scholar 

  5. S. Dimopoulos, G.F. Giudice, Phys. Lett. B 379, 105 (1996)

    Article  ADS  Google Scholar 

  6. J. Sucher, G. Feinberg, in: Long-Range Casimir Forces, ed. by F.S. Levin, D.A. Micha (Plenum, New York, 1993)

    Google Scholar 

  7. S.D. Drell, K. Huang, Phys. Rev. 91, 1527 (1953)

    Article  ADS  Google Scholar 

  8. F. Ferrer, J.A. Grifols, Phys. Rev. D 58, 096006 (1998)

    Article  ADS  Google Scholar 

  9. G. Feinberg, J. Sucher, Phys. Rev. 166, 1638 (1968)

    Article  ADS  Google Scholar 

  10. E. Fischbach, Ann. Phys. (New York) 247, 213 (1996)

    Article  ADS  Google Scholar 

  11. S.D.H. Hsu, P. Sikivie, Phys. Rev. D 49, 4951 (1994)

    Article  ADS  Google Scholar 

  12. I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, G. Dvali, Phys. Lett. B 436, 257 (1998)

    Article  ADS  Google Scholar 

  13. N. Arkani-Hamed, S. Dimopoulos, G. Dvali, Phys. Lett. B 429, 263 (1998)

    Article  ADS  Google Scholar 

  14. N. Arkani-Hamed, S. Dimopoulos, G. Dvali, Phys. Rev. D 59, 086004 (1999)

    Article  ADS  Google Scholar 

  15. A. Kehagias, K. Sfetsos, Phys. Lett. B 472, 39 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  16. E.G. Floratos, G.K. Leontaris, Phys. Lett. B 465, 95 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  17. C. Kokorelis, Nucl. Phys. B 677, 115 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  18. L. Randall, R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  19. L. Randall, R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  20. A.A. Saharian, Phys. Rev. D 74, 124009 (2006)

    Article  ADS  Google Scholar 

  21. I. Antoniadis, Int. J. Mod. Phys. A 21, 1657 (2006)

    Article  ADS  Google Scholar 

  22. M. Kardar, R. Golestanian, Rev. Mod. Phys. 71, 1233 (1999)

    Article  ADS  Google Scholar 

  23. G.L. Smith, C.D. Hoyle, J.H. Gundlach, E.G. Adelberger, B.R. Heckel, H.E. Swanson, Phys. Rev. D 61, 022001 (1999)

    Article  ADS  Google Scholar 

  24. C.D. Hoyle, U. Schmidt, B.R. Heckel, E.G. Adelberger, J.H. Gundlach, D.J. Kapner, H.E. Swanson, Phys. Rev. Lett. 86, 1418 (2001)

    Article  ADS  Google Scholar 

  25. J.C. Long, H.W. Chan, A.B. Churnside, E.A. Gulbis, M.C.M. Varney, J.C. Price, Nature 421, 922 (2003)

    Article  ADS  Google Scholar 

  26. J. Chiaverini, S.J. Smullin, A.A. Geraci, D.M. Weld, A. Kapitulnik, Phys. Rev. Lett. 90, 151101 (2003)

    Article  ADS  Google Scholar 

  27. S.J. Smullin, A.A. Geraci, D.M. Weld, J. Chiaverini, S. Holmes, A. Kapitulnik, Phys. Rev. D 72, 122001 (2005)

    Article  ADS  Google Scholar 

  28. D.J. Kapner, T.S. Cook, E.G. Adelberger, J.H. Gundlach, B.R. Heckel, C.D. Hoyle, H.E. Swanson, Phys. Rev. Lett. 98, 021101 (2007)

    Article  ADS  Google Scholar 

  29. S.K. Lamoreaux, Phys. Rev. Lett. 78, 5 (1997)

    Article  ADS  Google Scholar 

  30. S.K. Lamoreaux, Phys. Rev. Lett. 81, 5475(E) (1998)

    Article  ADS  Google Scholar 

  31. U. Mohideen, A. Roy, Phys. Rev. Lett. 81, 4549 (1998)

    Article  ADS  Google Scholar 

  32. G.L. Klimchitskaya, A. Roy, U. Mohideen, V.M. Mostepanenko, Phys. Rev. A 60, 3487 (1999)

    Article  ADS  Google Scholar 

  33. A. Roy, C.-Y. Lin, U. Mohideen, Phys. Rev. D 60, 111101(R) (1999)

    Article  ADS  Google Scholar 

  34. B.W. Harris, F. Chen, U. Mohideen, Phys. Rev. A 62, 052109 (2000)

    Article  ADS  Google Scholar 

  35. F. Chen, G.L. Klimchitskaya, U. Mohideen, V.M. Mostepanenko, Phys. Rev. A 69, 022117 (2004)

    Article  ADS  Google Scholar 

  36. T. Ederth, Phys. Rev. A 62, 062104 (2000)

    Article  ADS  Google Scholar 

  37. M. Bordag, B. Geyer, G.L. Klimchitskaya, V.M. Mostepanenko, Phys. Rev. D 58, 075003 (1998)

    Article  ADS  Google Scholar 

  38. M. Bordag, B. Geyer, G.L. Klimchitskaya, V.M. Mostepanenko, Phys. Rev. D 60, 055004 (1999)

    Article  ADS  Google Scholar 

  39. M. Bordag, B. Geyer, G.L. Klimchitskaya, V.M. Mostepanenko, Phys. Rev. D 62, 011701(R) (2000)

    Article  ADS  Google Scholar 

  40. J.C. Long, H.W. Chan, J.C. Price, Nucl. Phys. B 539, 23 (1999)

    Article  ADS  Google Scholar 

  41. V.M. Mostepanenko, M. Novello, Phys. Rev. D 63, 115003 (2001)

    Article  ADS  Google Scholar 

  42. E. Fischbach, D.E. Krause, V.M. Mostepanenko, M. Novello, Phys. Rev. D 64, 075010 (2001)

    Article  ADS  Google Scholar 

  43. R.S. Decca, E. Fischbach, G.L. Klimchitskaya, D.E. Krause, D. López, V.M. Mostepanenko, Phys. Rev. D 68, 116003 (2003)

    Article  ADS  Google Scholar 

  44. R.S. Decca, D. López, E. Fischbach, G.L. Klimchitskaya, D.E. Krause, V.M. Mostepanenko, Ann. Phys. (New York) 318, 37 (2005)

    Article  ADS  Google Scholar 

  45. H.B. Chan, V.A. Aksyuk, R.N. Kleiman, D.J. Bishop, F. Capasso, Science 291, 1941 (2001)

    Article  ADS  Google Scholar 

  46. H.B. Chan, V.A. Aksyuk, R.N. Kleiman, D.J. Bishop, F. Capasso, Phys. Rev. Lett. 87, 211801 (2001)

    Article  ADS  Google Scholar 

  47. R.S. Decca, D. López, E. Fischbach, G.L. Klimchitskaya, D.E. Krause, V.M. Mostepanenko, Phys. Rev. D 75, 077101 (2007)

    Article  ADS  Google Scholar 

  48. G.L. Klimchitskaya, U. Mohideen, V.M. Mostepanenko, J. Phys. A Math. Theor. 40, 339(F) (2007)

    Article  ADS  Google Scholar 

  49. E.D. Palik (ed.), Handbook of Optical Constants of Solids (Academic, New York, 1985)

    Google Scholar 

  50. V.A. Parsegian, G.H. Weiss, J. Colloid Interf. Sci. 81, 285 (1981)

    Article  ADS  Google Scholar 

  51. V.A. Parsegian, Van der Waals Forces: A Handbook for Biologists, Chemists, Engineers, and Physicists (Cambridge University Press, Cambridge, 2005)

    Book  Google Scholar 

  52. M. Boström, B.E. Sernelius, Phys. Rev. Lett. 84, 4757 (2000)

    Article  ADS  Google Scholar 

  53. J. Blocki, J. Randrup, W.J. Swiatecki, C.F. Tsang, Ann. Phys. (New York) 105, 427 (1977)

    Article  ADS  Google Scholar 

  54. B.V. Derjaguin, I.I. Abrikosova, E.M. Lifshitz, Chem. Soc. Rev. 10, 295 (1956)

    Article  Google Scholar 

  55. M. Bordag, U. Mohideen, V.M. Mostepanenko, Phys. Rep. 353, 1 (2001)

    Article  ADS  MathSciNet  Google Scholar 

  56. S.G. Rabinovich, Measurement Errors and Uncertainties. Theory and Practice (Springer, New York, 2000)

    Book  MATH  Google Scholar 

  57. G. Bressi, G. Carugno, R. Onofrio, G. Ruoso, Phys. Rev. Lett. 88, 041804 (2002)

    Article  ADS  Google Scholar 

  58. C. Yang, A. Wax, R.R. Dasari, M.S. Feld, Opt. Lett. 27, 77 (2002)

    Article  ADS  Google Scholar 

  59. S. Brandt, Statistical and Computational Methods in Data Analysis (North-Holland, Amsterdam, 1976)

    MATH  Google Scholar 

  60. T. Emig, R.L. Jaffe, M. Kardar, A. Scardicchio, Phys. Rev. Lett. 96, 080403 (2006)

    Article  ADS  Google Scholar 

  61. M. Bordag, Phys. Rev. D 73, 125018 (2006)

    Article  ADS  Google Scholar 

  62. A. Bulgac, P. Magierski, A. Wirzba, Phys. Rev. D 73, 025007 (2006)

    Article  ADS  Google Scholar 

  63. H. Gies, K. Klingmüller, Phys. Rev. Lett. 96, 220401 (2006)

    Article  ADS  Google Scholar 

  64. H. Gies, K. Klingmüller, Phys. Rev. D 74, 045002 (2006)

    Article  ADS  Google Scholar 

  65. D.E. Krause, R.S. Decca, D. López, E. Fischbach, Phys. Rev. Lett. 98, 050403 (2007)

    Article  ADS  Google Scholar 

  66. N.W. Ashcroft, N.D. Mermin, Solid State Physics (Saunders Colledge, Philadelphia, 1976)

    MATH  Google Scholar 

  67. D.E. Gray et al., American Institute of Physics Handbook (McGraw-Hill, New York, 1972)

    MATH  Google Scholar 

  68. A. Lambrecht, S. Reynaud, Eur. Phys. J. D 8, 309 (2000)

    Article  ADS  Google Scholar 

  69. E.M. Lifshitz, L.P. Pitaevskii, Statistical Physics (Pergamon Press, Oxford, 1980) Pt. II

  70. V.B. Bezerra, G.L. Klimchitskaya, V.M. Mostepanenko, C. Romero, Phys. Rev. A 69, 022119 (2004)

    Article  ADS  Google Scholar 

  71. C. Genet, A. Lambrecht, S. Reynaud, Phys. Rev. A 62, 012110 (2000)

    Article  ADS  Google Scholar 

  72. M. Bordag, B. Geyer, G.L. Klimchitskaya, V.M. Mostepanenko, Phys. Rev. Lett. 85, 503 (2000)

    Article  ADS  Google Scholar 

  73. M. Bordag, B. Geyer, G.L. Klimchitskaya, V.M. Mostepanenko, Phys. Rev. Lett. 87, 259102 (2001)

    Article  ADS  Google Scholar 

  74. V.B. Bezerra, G.L. Klimchitskaya, C. Romero, Phys. Rev. A 65, 012111 (2002)

    Article  ADS  Google Scholar 

  75. B. Geyer, G.L. Klimchitskaya, V.M. Mostepanenko, Phys. Rev. A 67, 062102 (2003)

    Article  ADS  Google Scholar 

  76. V.B. Bezerra, R.S. Decca, E. Fischbach, B. Geyer, G.L. Klimchitskaya, D.E. Krause, D. López, V.M. Mostepanenko, C. Romero, Phys. Rev. E 73, 028101 (2006)

    Article  ADS  Google Scholar 

  77. J.S. Høye, I. Brevik, J.B. Aarseth, K.A. Milton, J. Phys. A Math. Gen. 39, 6031 (2006)

    Article  ADS  Google Scholar 

  78. L.D. Landau, E.M. Lifshitz, L.P. Pitaevskii, Electrodynamics of Continuous Media (Pergamon Press, Oxford, 1984)

    Google Scholar 

  79. T. Emig, A. Hanke, R. Golestanian, M. Kardar, Phys. Rev. Lett. 87, 260402 (2001)

    Article  ADS  Google Scholar 

  80. C. Genet, A. Lambrecht, P. Maia Neto, S. Reynaud, Europhys. Lett. 62, 484 (2003)

    Article  ADS  Google Scholar 

  81. I. Pirozhenko, A. Lambrecht, V.B. Svetovoy, New J. Phys. 8, 238 (2006)

    Article  ADS  Google Scholar 

  82. D. Iannuzzi, I. Gelfand, M. Lisanti, F. Capasso, in: Quantum Field Theory under the Influence of External Conditions, ed. by K.A. Milton (Rinton Press, Princeton, 2004)

    Google Scholar 

  83. S.K. Lamoreaux, W.T. Buttler, Phys. Rev. E 71, 036109 (2005)

    Article  ADS  Google Scholar 

  84. M. Brown-Hayes, D.A.R. Dalvit, F.D. Mazzitelli, W.J. Kim, R. Onofrio, Phys. Rev. A 72, 052102 (2005)

    Article  ADS  Google Scholar 

  85. P. Antonini, G. Bressi, G. Carugno, G. Galeazzi, G. Messineo, G. Ruoso, New J. Phys. 8, 239 (2006)

    Article  ADS  Google Scholar 

  86. G.L. Klimchitskaya, F. Chen, R.S. Decca, E. Fischbach, D.E. Krause, D. López, U. Mohideen, V.M. Mostepanenko, J. Phys. A Math. Gen. 39, 6485 (2006)

    Article  ADS  Google Scholar 

  87. F. Chen, U. Mohideen, G.L. Klimchitskaya, V.M. Mostepanenko, Phys. Rev. A 74, 022103 (2006)

    Article  ADS  Google Scholar 

  88. R.S. Decca, D. López, H.B. Chan, E. Fischbach, D.E. Krause, C.R. Jamell, Phys. Rev. Lett. 94, 240401 (2005)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Physics, Indiana University-Purdue University Indianapolis, Indianapolis, Indiana, 46202, USA

    R.S. Decca

  2. Lucent Technologies, Bell Laboratories, Murray Hill, New Jersey, 07974, USA

    D. López

  3. Department of Physics, Purdue University, West Lafayette, Indiana, 47907, USA

    E. Fischbach & D.E. Krause

  4. Center of Theoretical Studies and Institute for Theoretical Physics, Leipzig University, Postfach 100920, 04009, Leipzig, Germany

    G.L. Klimchitskaya & V.M. Mostepanenko

  5. Physics Department, Wabash College, Crawfordsville, Indiana, 47933, USA

    D.E. Krause

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  1. R.S. Decca
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  2. D. López
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  3. E. Fischbach
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  4. G.L. Klimchitskaya
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Correspondence to V.M. Mostepanenko.

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Decca, R., López, D., Fischbach, E. et al. Novel constraints on light elementary particles and extra-dimensional physics from the Casimir effect. Eur. Phys. J. C 51, 963–975 (2007). https://doi.org/10.1140/epjc/s10052-007-0346-z

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