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Study of the neutron quantum states in the gravity field

  • experimental physics
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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.

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References

  1. I.I. Goldman, V.D. Krivchenkov, V.I. Kogan, V.M. Galitscii, Problems in Quantum Mechanics (New York, Academic, 1960)

  2. L.D. Landau, E.M. Lifshitz, Quantum Mechanics (Oxford, Pergamon, 1976)

  3. S. Flügge, Practical Quantum Mechanics I (Berlin, Springer, 1974)

  4. D. ter Haar, Selected Problems in Quantum Mechanics (Academic, New York, 1964)

  5. J.J. Sakurai, Modern Quantum Mechanics (Benjamin/Cummings, Menlo Park, 1985)

  6. V.I. Luschikov, A.I. Frank, JETP Lett. 28(9), 559 (1978)

    Google Scholar 

  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. 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. 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. A. Westphal, Diploma thesis, University of Heidelberg, 2001; gr-qc/0208062 (2003)

  11. O. Scharpf, Physica B 156, 631, 639 (1989)

    Google Scholar 

  12. V.V. Nesvizhevsky, ILL 96NE14T, 1996 (unpublished)

  13. J. Felber, R. Gähler, H. Rauch, R. Golub, Phys. Rev. A53(1), 319 (1996)

    Google Scholar 

  14. R. Onofrio, L. Viola, Phys. Rev. A 53, 3773 (1996)

    Google Scholar 

  15. L. Viola, R. Onofrio, Phys. Rev. D 55, 455 (1997)

    Google Scholar 

  16. Review of Particle Physics, Phys. Rev. D 66, 945 (2002)

    Google Scholar 

  17. O. Bertolami, F.M. Nunes, Class. and Quant. Grav. 20(5), 61 (2002)

    Google Scholar 

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

    Article  Google Scholar 

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

    Article  Google Scholar 

  20. V.V. Nesvizhevsky, K.V. Protasov, Class. and Quant. Grav. 21, 4557 (2004)

    Google Scholar 

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

    Google Scholar 

  22. H. Abele, S. Baeßler, A. Westphal, Lect. Notes Phys. 631, 355

  23. I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, G. Dvali, Phys. Lett. B 236, 257 (1998)

    Google Scholar 

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Authors and Affiliations

  1. Institut Laue-Langevin, 6 rue Jules Horowitz, BP156, 38042, Grenoble Cedex 9, France

    V. V. Nesvizhevsky, A. K. Petukhov & H. G. Börner

  2. Petersburg Nuclear Physics Institute, Gatchina, Russia

    T. A. Baranova, A. M. Gagarski & G. A. Petrov

  3. Laboratoire de Physique Subatomique et de Cosmologie, IN2P3-CNRS-UJF, Grenoble, France

    K. V. Protasov

  4. Lebedev Institute, Moscow, Russia

    A. Yu Voronin

  5. University of Mainz, Germany

    S. Baeßler

  6. University of Heidelberg, Germany

    H. Abele

  7. DESY, Hamburg, Germany

    A. Westphal

  8. Université Joseph-Fourier, Grenoble, France

    L. Lucovac

Authors
  1. V. V. Nesvizhevsky
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  2. A. K. Petukhov
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  3. H. G. Börner
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  4. T. A. Baranova
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  5. A. M. Gagarski
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  6. G. A. Petrov
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  7. K. V. Protasov
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  8. A. Yu Voronin
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  9. S. Baeßler
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  10. H. Abele
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  11. A. Westphal
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  12. L. Lucovac
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Corresponding author

Correspondence to V. V. Nesvizhevsky.

Additional information

Received: 31 July 2004, Published online: 7 March 2005

PACS:

03.65, 28.20

Correspondence to: V. Nesvizhevsky

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Nesvizhevsky, V.V., Petukhov, A.K., Börner, H.G. et al. Study of the neutron quantum states in the gravity field. Eur. Phys. J. C 40, 479–491 (2005). https://doi.org/10.1140/epjc/s2005-02135-y

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  • DOI: https://doi.org/10.1140/epjc/s2005-02135-y

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