Study of the neutron quantum states in the gravity field

  • V. V. Nesvizhevsky
  • A. K. Petukhov
  • H. G. Börner
  • T. A. Baranova
  • A. M. Gagarski
  • G. A. Petrov
  • K. V. Protasov
  • A. Yu Voronin
  • S. Baeßler
  • H. Abele
  • A. Westphal
  • L. Lucovac
experimental physics

Abstract.

We have studied neutron quantum states in the potential well formed by the earth’s gravitational field and a horizontal mirror. The estimated characteristic sizes of the neutron wave functions in the two lowest quantum states correspond to expectations with an experimental accuracy. A position-sensitive neutron detector with an extra-high spatial resolution of \(\sim 2 \mathrm{\mu} \)m was developed and tested for this particular experiment, to be used to measure the spatial density distribution in a standing neutron wave above a mirror for a set of some of the lowest quantum states. The present experiment can be used to set an upper limit for an additional short-range fundamental force. We studied methodological uncertainties as well as the feasibility of improving further the accuracy of this experiment.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    I.I. Goldman, V.D. Krivchenkov, V.I. Kogan, V.M. Galitscii, Problems in Quantum Mechanics (New York, Academic, 1960)Google Scholar
  2. 2.
    L.D. Landau, E.M. Lifshitz, Quantum Mechanics (Oxford, Pergamon, 1976)Google Scholar
  3. 3.
    S. Flügge, Practical Quantum Mechanics I (Berlin, Springer, 1974)Google Scholar
  4. 4.
    D. ter Haar, Selected Problems in Quantum Mechanics (Academic, New York, 1964)Google Scholar
  5. 5.
    J.J. Sakurai, Modern Quantum Mechanics (Benjamin/Cummings, Menlo Park, 1985)Google Scholar
  6. 6.
    V.I. Luschikov, A.I. Frank, JETP Lett. 28(9), 559 (1978)Google Scholar
  7. 7.
    V.V. Nesvizhevsky, H.G. Börner, A.K. Petukhov, H. Abele, S. Baeßler, F.J. Rueß, Th. Stöferle, A. Westphal, A.M. Gagarsky, G.A. Petrov, A.V. Strelkov, Nature 415, 297 (2002)Google Scholar
  8. 8.
    V.V. Nesvizhevsky, H.G. Börner, A.M. Gagarski, A.K. Petukhov, G.A. Petrov, H. Abele, S. Baeßler, G. Divkovic, F.J. Rueß, Th. Stöferle, A. Westphal, A.V. Strelkov, K.V. Protasov, A.Yu. Voronin, Phys. Rev. D 67, 102002-1 (2003)Google Scholar
  9. 9.
    V.V. Nesvizhevsky, H.G. Börner, A.M. Gagarsky, G.A. Petrov, A.K. Petukhov, H. Abele, S. Baessler, Th. Stöferle, S.M. Soloviev, Nucl. Inst. and Meth. in Phys. Res. 440A(3), 754 (2000)Google Scholar
  10. 10.
    A. Westphal, Diploma thesis, University of Heidelberg, 2001; gr-qc/0208062 (2003)Google Scholar
  11. 11.
    O. Scharpf, Physica B 156, 631, 639 (1989)Google Scholar
  12. 12.
    V.V. Nesvizhevsky, ILL 96NE14T, 1996 (unpublished)Google Scholar
  13. 13.
    J. Felber, R. Gähler, H. Rauch, R. Golub, Phys. Rev. A53(1), 319 (1996)Google Scholar
  14. 14.
    R. Onofrio, L. Viola, Phys. Rev. A 53, 3773 (1996)Google Scholar
  15. 15.
    L. Viola, R. Onofrio, Phys. Rev. D 55, 455 (1997)Google Scholar
  16. 16.
    Review of Particle Physics, Phys. Rev. D 66, 945 (2002)Google Scholar
  17. 17.
    O. Bertolami, F.M. Nunes, Class. and Quant. Grav. 20(5), 61 (2002)Google Scholar
  18. 18.
    N. Arkani-Hamed, S. Dimopoulos, G. Dvali, Phys. Lett. B 429, 263 (1998)CrossRefGoogle Scholar
  19. 19.
    N. Arkani-Hamed, S. Dimopoulos, G. Dvali, Phys. Rev. D 59, 086004 (1999)CrossRefGoogle Scholar
  20. 20.
    V.V. Nesvizhevsky, K.V. Protasov, Class. and Quant. Grav. 21, 4557 (2004)Google Scholar
  21. 21.
    M. Bordag, U. Mohideen, V.M. Mostepanenko, Phys. Rep. 353, 1 (2001)Google Scholar
  22. 22.
    H. Abele, S. Baeßler, A. Westphal, Lect. Notes Phys. 631, 355Google Scholar
  23. 23.
    I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, G. Dvali, Phys. Lett. B 236, 257 (1998)Google Scholar

Copyright information

© Springer-Verlag Berlin/Heidelberg 2005

Authors and Affiliations

  • V. V. Nesvizhevsky
    • 1
  • A. K. Petukhov
    • 1
  • H. G. Börner
    • 1
  • T. A. Baranova
    • 2
  • A. M. Gagarski
    • 2
  • G. A. Petrov
    • 2
  • K. V. Protasov
    • 3
  • A. Yu Voronin
    • 4
  • S. Baeßler
    • 5
  • H. Abele
    • 6
  • A. Westphal
    • 7
  • L. Lucovac
    • 8
  1. 1.Institut Laue-LangevinGrenoble Cedex 9France
  2. 2.Petersburg Nuclear Physics InstituteGatchinaRussia
  3. 3.Laboratoire de Physique Subatomique et de CosmologieIN2P3-CNRS-UJFGrenobleFrance
  4. 4.Lebedev InstituteMoscowRussia
  5. 5.University of MainzGermany
  6. 6.University of HeidelbergGermany
  7. 7.DESYHamburgGermany
  8. 8.Université Joseph-FourierGrenobleFrance

Personalised recommendations