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Gravity at Micron Hartmut Abele. Galileo in Pisa. Objekt: Neutron H öhe : ~ 50 m m Fallh öhe > 50 m Fallh öhe < 50 m. QM. Hydrogen atom. QM: bei gebundenen Zuständen diskrete Energieniveaus Aufenthaltswahrscheinlichkeit: Quadrat der Wellenfunktion n,l,m (r,,).
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Galileo in Pisa Objekt: Neutron Höhe: ~ 50 mm • Fallhöhe > 50m • Fallhöhe < 50m
QM Hydrogen atom QM: bei gebundenen Zuständen diskrete Energieniveaus Aufenthaltswahrscheinlichkeit: Quadrat der Wellenfunktion n,l,m(r,,)
Airy-Funktion Energie mgz Abstand vom Spiegel Gitarre Abstand vom Spiegel
Rb Atoms Bouncing in a Stable Gravitatonial Cavity E. Hinds et al., Yale, Imperial College E. Hinds et al., Yale, Imperial College London
Energy mgz Distance to Mirror Observation of Bound Quantum States T~h3/2 Neutron mirror: polished glass plate 10 cm long Nature 415 299 (2002), Phys. Rev. D 67 102002 (2003).
Energy mgz Distance to Mirror Schrödinger Equation
A comparison: Neutrons, Atoms and Electrons e+n- System 1013ly
2nd Run 2002 V. Nesvizhevsky et al., EPJ, 2005
Reversed Geometry A. Westphal, 2001
the Experiment • Neutron detection: • He – detector • n + 3He t + p • (no spatial resolution) • Track detector • n + 235Ufission • n + 10B Li + a
15 mm 120 mm X UCN neutrons Fission fragment ~0.2 How does the detector work? Uranium or Boron coating CR39 Plastic
CR39 track detector Uranium Detector Boron Detector
~ 200µm ~ 10 cm
Neutron Density Distributionwith Spatial Resolution Detector Y2 First three levels 10 20 30 40 50mm V. Nesvizhevsky et al., EPJ, 2005
C. Krantz, Diploma thesis, 2006
Bestimmung von g g = (9.8 ± 0.2) m/s2
3.2.2 Newton´s Law and the Question of Large Extra Dimension of Space and Time • Deviations from Newton's law 1/r2 to 1/r2+n, for n extra large dimensions. • Motivated by the problem of supersymmetry breaking, new scalar forces in the sub-millimeter range for a supersymmetry breaking scale of 1 – 10 TeV. These correspond to Compton wavelengths in the range of 1 mm to 10 mm. • Repulsive forces mediated by possible abelian gauge fields in the bulk. The strength of the new force would be 109 to 1012 times stronger than gravity. MPL MnPL
Limits for alpha and lambda Green: Neutron Limits
Kollaboration ILL Grenoble V. Nesvizhevsky, A. Petukhov, H. Boerner, L. Lukovac, S. Roccia LPI, Moscow A. Voronin Universität Heidelberg N. Haverkamp, C. Krantz, D. Mund, S.Nahrwold, F. Rueß, T. Stöferle PNPI, Gatchina A. Gagarsky, G. Petrov, S. Soloviev LPSC, Grenoble K. Protasov SISSA (Italien) A. Westphal JINR, Dubna A. Strelkov U. Mainz S. Baeßler Univ. Gent J. Schrauwen