Gravity at Micron Hartmut Abele. Hartmut Abele, Universität Heidelberg 2 Galileo in Pisa Objekt:...
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Transcript of Gravity at Micron Hartmut Abele. Hartmut Abele, Universität Heidelberg 2 Galileo in Pisa Objekt:...
Gravity at Micron
Hartmut Abele
Hartmut Abele, Universität Heidelberg 2
Galileo in PisaObjekt: Neutron
Höhe: ~ 50 m
Fallhöhe > 50mFallhöhe < 50m
)1()( /21 rer
mmGrV
)1()( /21 re
r
mmGrV
Hartmut Abele, Universität Heidelberg 3
QM
Hydrogen atom
QM: bei gebundenen Zuständen diskrete EnergieniveausAufenthaltswahrscheinlichkeit: Quadrat der Wellenfunktion n,l,m(r,,)
Hartmut Abele, Universität Heidelberg 4
Gitarre
-12 -10 -8 -6 -4 -2 0 2 4 6 8
-0,4
-0,2
0,0
0,2
0,4
0,6
B
Airy-Funktion
Abstand vom Spiegel
Energie
Abstand vom Spiegel
mgz
Hartmut Abele, Universität Heidelberg 5
Rb Atoms Bouncing in a Stable Gravitatonial Cavity
E. Hinds et al.,Yale, Imperial College London
E. Hinds et al.,Yale, Imperial College
Hartmut Abele, Universität Heidelberg 6
The quantum bounce
Hartmut Abele, Universität Heidelberg 7
Quantum bounce
Hartmut Abele, Universität Heidelberg 8
Observation of Bound Quantum States
Energy
Distance to Mirror
mgz
Neutron mirror: polished glass plate 10 cm long
Nature 415 299 (2002), Phys. Rev. D 67 102002 (2003).
T~h3/2
Hartmut Abele, Universität Heidelberg 9
EzV
m
h )(
2
2 EzV
m
h )(
2
2
( ) for 0 and ( ) for 0V z mgz z V z z
0z
z
0z
zEE
mg
EzE
)()( nn Ai 23
0
3 1( ( )) .
4nz z n
2
Schrödinger Equation Energy
Distance to Mirror
mgz
Characteristic Energy Scale:
Characteristic Length Scale:
2 2 2
30
2
30 2
98
2
mg h
hz
mg
Characteristic Energy Scale:
Characteristic Length Scale:
2 2 2
30
2
30 2
98
2
mg h
hz
mg
Hartmut Abele, Universität Heidelberg 10
A comparison: Neutrons, Atoms and Electrons
e+n-Syste
m
1013ly
Hartmut Abele, Universität Heidelberg 11
2nd Run 2002
mz statsyst ,7.02.23.21exp2 mz statsyst ,7.02.23.21exp
2
mz statsyst ,7.08.12.12exp1 mz statsyst ,7.08.12.12exp
1
V. Nesvizhevsky et al., EPJ, 2005
Hartmut Abele, Universität Heidelberg 12
Reversed Geometry
A. Westphal, 2001
Hartmut Abele, Universität Heidelberg 13
the Experiment
Neutron detection:
a) He – detector
n + 3He t + p (no spatial resolution)
b) Track detector
n + 235U fissionn + 10B Li +
Neutron detection:
a) He – detector
n + 3He t + p (no spatial resolution)
b) Track detector
n + 235U fissionn + 10B Li +
Hartmut Abele, Universität Heidelberg 14
Fission fragment
X UCN neutrons
~0.2
120 mm
15
mm
How does thedetector work?
Uranium or Boron coating
CR39 Plastic
Hartmut Abele, Universität Heidelberg 15
CR39 track detector
Uranium Detector
Boron Detector
Hartmut Abele, Universität Heidelberg 16~ 10 cm
~ 200µm
Hartmut Abele, Universität Heidelberg 17
Neutron Density Distributionwith Spatial Resolution Detector
First three levels
V. Nesvizhevsky et al., EPJ, 2005
20 40 60 80
0.2
0.4
0.6
0.8
1
10 20 30 40 50m
Hartmut Abele, Universität Heidelberg 18
C. Krantz, Diploma thesis, 2006
Hartmut Abele, Universität Heidelberg 19
Bestimmung von g
g = (9.8 ± 0.2) m/s2g = (9.8 ± 0.2) m/s2
Hartmut Abele, Universität Heidelberg 20
3.2.2 Newton´s Law and the Question of Large Extra Dimension of Space and Time3.2.2 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.
)1()( /21 rermm
GrV
)1()( /21 rermm
GrV
2)4(
2)4(
nnPl
nnPl MrM
2)4(
2)4(
nnPl
nnPl MrM
2)4(
2)4(
)4(2
24 ~
1~
M
M
Mrg n
nnn
2)4(
2)4(
)4(2
24 ~
1~
M
M
Mrg n
nnn
MPL
MnPL
Hartmut Abele, Universität Heidelberg 21
Limits for alpha and lambda
Green: Neutron Limits
)1()( /21 rermm
GrV
)1()( /21 rermm
GrV
Hartmut Abele, Universität Heidelberg 22
Kollaboration ILL GrenobleV. Nesvizhevsky, A. Petukhov, H. Boerner, L. Lukovac, S. Roccia
Universität Heidelberg N. Haverkamp, C. Krantz, D. Mund, S.Nahrwold, F. Rueß, T. Stöferle
U. MainzS. Baeßler
LPSC, Grenoble
K. Protasov
PNPI, Gatchina
A. Gagarsky, G. Petrov, S. Soloviev
SISSA (Italien)A. Westphal
JINR, Dubna A. Strelkov
LPI, Moscow A. Voronin
Univ. Gent J. Schrauwen