pnpi-ill-pti collaboration at ill reactor in grenoble and at wwr-m reactor in gatchina
DESCRIPTION
PNPI-ILL-PTI collaboration at ILL reactor in Grenoble and at WWR-M reactor in Gatchina. Present status and future prospects of “Gatchina double chamber EDM spectrometer” Serebrov A.P. PNPI 26 June 2012. - PowerPoint PPT PresentationTRANSCRIPT
PNPI-ILL-PTI collaboration at ILL reactor in Grenoble
and at WWR-M reactor in Gatchina
Present status and
future prospects of “Gatchina double chamber EDM spectrometer”
Serebrov A.P. PNPI 26 June 2012
2
3
History of nEDM measurements. Results and prospects of PNPI-ILL-PTI collaboration
1965 1970 1975 1980 1985 1990 1995 2000 2005 2010 2015 202010-28
10-27
10-26
10-25
10-24
10-23
10-22
10-21
10-20
- Minimal SUSY
- Weinberg Multi-Higgs
- Left-Right Symm.
- Electromagnetic
TheoreticalPrediction:
MIT-BNL ORNL-Harvard ORNL-ILL... ILL-Sussex-RAL... PNPI
Neu
tron
ED
M E
xper
imen
tal l
imit
(e·c
m)
Year
Present limit Estimation of accuracy at ILL
Estimations of accuracy at super UCN source in Gatchina
Cosmology
4
!
!!
5
History of nEDM measurements. Results and prospects of PNPI-ILL-PTI collaboration
1965 1970 1975 1980 1985 1990 1995 2000 2005 2010 2015 202010-28
10-27
10-26
10-25
10-24
10-23
10-22
10-21
10-20
- Minimal SUSY
- Weinberg Multi-Higgs
- Left-Right Symm.
- Electromagnetic
TheoreticalPrediction:
MIT-BNL ORNL-Harvard ORNL-ILL... ILL-Sussex-RAL... PNPI
Neu
tron
ED
M E
xper
imen
tal l
imit
(e·c
m)
Year
Present limit Estimation of accuracy at ILL
Estimations of accuracy at super UCN source in Gatchina
Cosmology
6
!
!!
7
ILL UCN facilities - PF2 MAM (in the past)
platform(iron)
NESSIE vacuum vessel
8
The allocation scheme of the multi-chamber EDM spectrometer at PF2 UCN facility
9
Installation of non-magnetic platform
First experiment on the non-magnetic platform
mirror particles
particles
mirror antiparticles
antiparticles
History of mirror ideas
mirror world
mirror antiworld
world
antiworld
Coexistence is possible, transitions are complicated
annihilation!!
Coexistence is not possible
coexistenceL
R
L
R
610-10=?
Review (259 references)hep-ph/0606202 v2 Dec 2006
Physics-Uspekhi 50 (2007) 380
How to observe n-n transitions
Energy states of ordinary and mirror neutron are degenerated when magnetic field H=0, and transitions are possible. Due to magnetic field energy states of neutron can be shifted and transitions to mirror state will be suppressed.
The evolution of nonrelativistic n-n system in the external magnetic field B is described by the effective Hamiltonian :
2
2
( )2 2
2 2
Pm i B V m
mHP
m m i Vm
H=0 (H<10-4 Gauss) H0 (H0.2 Gauss)
n
13
Assembling of magnetic shielding and vacuum of EDM spectrometer
14
Preparation of n n experiment at ILL
15
Assembling on the platform
17
Study of linear effect (H+/H-) with vertical magnetic field
/H H
R N N
1r R
46.4 2.4 10r
2 2.56
0 2000 4000 6000 8000 10000 12000 14000
-0,006
-0,004
-0,002
0,000
0,002
0,004
0,006
Data: EFF25NOV_BModel: y = b+cx Chi 2/DoF = 2.55962R 2 = 3.3307E-16
b 0.00064 ±0.00024c 0 ±0
26Nov 28Nov 30Nov 2Dec 4Dec 6Dec
r-eff
ect
Time (min)
Go back to EDM
19
Assembly of double-chamber EDM spectrometer in summer 2008 in the interval between reactor cycles
20
August 2008. Completion of main part of assembly.
21
September 2008 - Assembly and testing of detectors, magnetometers and electronics. October 2008 - Start of the first measurements with the neutrons
0,0 0,5 1,0 1,5 2,0 2,50,0
2,5
5,0
7,5
10,0
12,5
Turbine exit
EDM sp. entrance
Calculation
AE3/2
[c
m3 ]
Ec[m]
=7.5 cm-3
22
Direct measurements of UCN density in the EDM spectrometer entrance and at the UCN turbine exit
st fill st emp0exp 2
st
( )( )N
V
Resonance curve of the double-chamber EDM spectrometer, T(stor)=20s
23
53.0 53.2 53.4 53.6 53.8 54.0 54.2
2000
3000
4000
5000
6000
7000
8000
Co
un
ts p
er
cyc
le
Frequency [Hz]
Det1+Det2
Resonance curve of the double-chamber EDM spectrometer, T(stor)=20s
24
53.50 53.55 53.60 53.65 53.70 53.75 53.80 53.85 53.90
2000
3000
4000
5000
6000
7000
8000
Co
un
ts p
er
cycle
Frequency [Hz]
Phase 00
Phase 1800
First estimation of EDM sensitivity (1,5 – 2,0) ∙ 10-25 e∙cm/day
for 20kv/cm , T (stor) = 60s, 4 detectors
25
Possible long-range interaction (axion-like interaction) between nucleons
r(1) (2)s sg g
V(r) e4 r
r(1) (2) 2s p 2
2
r 1 1V(r) g g e
8 M r r
(1)sg (2)
sg
1 2 1 2
(1)sg (2)
5 pi g
A.A. Anselm JETP Lett.v36 N2 (1982)
J.E. Moody and Frank WilczekPhys. Rev. D v30 N1 (1984)
26
Direct experimental limits for gSgP and “axion window” of mass or distance of interaction
Am c
32 10 cm 2 cm
27
Additional effective magnetic field in EDM spectrometer
z
5S P n effV(z) 5.2 10 eV / cm cm e g g H
z
z516S P
eff S Pn
5.2 10 e g gH 8.7 10 G / cm cm g g e
12n 6 10 eV / G
UCN depolarization on vertical wallsA. Serebrov(arxiv:0902.1056)
shift of resonances on horizontal wallsO. Zimmer(arxiv:0810.3215)
28
Measurement of UCN depolarization in EDM spectrometer
0 10 20 30 40 50 60 70 80 900,50
0,55
0,60
0,65
0,70
0,75
0,80
Data: DounledH0_P2 Chi 2/DoF= 1.3572R 2 = 0.98598
A1 0.7873 ±0.00147t1 697.755±27.418
Data: H0_P2 Chi 2/DoF= 1.27029R 2 = 0.9779
A1 0.7606 ±0.00168t1 789.846±40.291
Data: DounledH0_P1 Chi 2/DoF= 0.36793R 2 = 0.9918 A1 0.774 ±0.0019 t1 768.162 ±44.13
Data: H0_P1 Chi 2/DoF= 1.69316R 2 = 0.95239 A1 0.757 ±0.00217t1 784.282 ±51.57
Pol
ariz
atio
n
Storage time
H0 Upper chamber double H0 Upper chamber H0 Lower chamber double H0 Lower chamber
29
Measurement of resonance shift at the change of direction of magnetic field in EDM spectrometer
119,0 119,5 120,0 120,5 121,0 121,5 122,01000
1500
2000
2500
3000
3500
4000
4500
5000
5500
D1 D2
Div.coeff.
magnetic field down
30
119,0 119,5 120,0 120,5 121,0 121,5 122,0
1000
1500
2000
2500
3000
3500
4000
4500
Div.coeff
D1 D2
magnetic field up
Measurement of resonance shift at the change of direction of magnetic field in EDM spectrometer
31
Result of measurements (JETP Letters, 2010, Vol. 91, no. 1, pp. 6-10)
.
10-4 10-3 10-2 10-1 100 101 102
10-29
10-27
10-25
10-23
10-21
10-19
10-17
10-15
10-13
[12]
54
1
2
CDM [13]SN1987A [13]
mA, eV
g Sg P
range , cm
3
10-1 10-2 10-3 10-4 10-5 10-6
6
1 – UCN depolarization (this work); 2 – shift of resonance (this work); 3 – gravitational levels [5]; 4 – [12]; 5 – astrophysical restriction of axion mass [13]; 6 – cosmological restriction of axion mass in model of cold dark matter [13]. On the upper horizontal axis the mass range of intermediate boson (axion) is shown in correspondence with formula Am c
Again go back to EDM
34
Preparation of Cs-magnetometers at PTI
8 (4x2)Cs-magnetometers inside EDM spectrometer
35
System of optical pumping with light guides
36
37
Stabilization of magnetic field during resonance measurements (system of stabilization of resonance conditions + feedback by means of current coils)
quiet magnetic situation
12:00 14:00 16:00 18:00 20:00 22:001843
1844
1845
1846
1847
1848
1849
1850
1851
Mag
neti
c f
ield
[n
T]
Time
Up Down Mean
Stabilization of magnetic field during resonance measurements (system of stabilization of resonance conditions + feedback by means of current coils)
38
full day tests of bridge crane
12:00 14:00 16:00 18:00 20:00 22:00
1843
1844
1845
1846
1847
1848
1849
1850
Mag
neti
c f
ield
[n
T]
Time
Up Down Mean
The influence of external magnetic fluctuations on stability of resonance conditions in a spectrometer.
(factor of stabilization by mean of 8 Cs-magnetometers is about 10 – 15 times)
39
a)FM is the average frequency measured by means of eight Cs magnetometers;
b) FN is the frequency measured by the additional Cs magnetometers in working volume;
Difference FN – FM.
0 20 40 60 80 100
-0.306
-0.305
-0.304
crane operation
Number of measurement
F [H
z] 1.3*10-4
54.071
54.072
54.073
FN [H
z]
54.375
54.376
54.377
1.7*10-3
FM
[Hz]
For reduction of UCN losses the neutron guides and storage chambers (glass-ceramics rings and electrodes) were sent to PNPI where their surfaces were cleaned and freshly coated with 58Ni-Mo and BeO, Be, respectively.
PNPI installations for coating of neutron guides and storage chamber.
41
Coating facilities at PNPI (installation for coating of flat surface of UCN guides and electrodes
(Ni58Mo, Be) and cylindrical surface of UCN trap (BeO)
Near installation A.Kharitonov, E.Siber, O.Rozhnovrotating table
ion gun sputtering magnetron
42
Coating facilities at PNPI (installation for coating of cylindrical UCN guides inside (Ni58Mo, Be))
Near installation M.Lasakov, A.Vasiliev
moveable tube support magnetron ion gun
Glass ceramics rings (insulators) and new entrance guide after coating by BeO and 58Ni-Mo
44
UCN guide with a big diameter (replica technology)
Installation for coating of Ni58Mo on the float glass foil after separation
from glass(size 700x470 mm2)
preparation of a UCN guide
UCN guides of different diameters
45
additional coils
Electronics for magnetic field generation
J Vmain solenoid
J/J = 2.510-7 ≈ 0.5 pT
J/J = 110-7 ≈ 0.2 pT
J/J = 2.510-7 ≈ 0.5 pT
The recent measurement of EDM sensitivity
Direct measurement of sensitivity of EDM spectrometer with UCN density 3-4 ucn/cm3 (MAM position) with electric field 10 kV/cm and
T(hold) = 65 s
47
0 5 10 15 20
-500
-400
-300
-200
-100
0
100
200
300
400Dt=(16±14)*10-25e*cm
Db=(24±16)*10-25 e*cm
D=-(4±6)*10-25e*cm
ED
M [
10
-25 e
*cm
]
Time of measurement [hours]
Dt Db D
δDedm ~ 5 10∙ -25 e cm/day∙
New result with HV(+_)175kV/ 8.7cm = 20kV/cm
Corrected measurement of sensitivity of EDM spectrometer with UCN density 3-4 ucn/cm3 (MAM position) with new
electric field 20 kV/cm and T(hold) = 65 s
ρucn at entrace ~ 3-4 ucn/cm3,
δDedm ~ 2.5 10∙ -25 e cm/day∙
Upper limit of sensitivity : 2.5 10∙ -26 e cm/100 days∙
History of nEDM measurements. Results and prospects of PNPI-ILL-PTI collaboration
1965 1970 1975 1980 1985 1990 1995 2000 2005 2010 2015 202010-28
10-27
10-26
10-25
10-24
10-23
10-22
10-21
10-20
- Minimal SUSY
- Weinberg Multi-Higgs
- Left-Right Symm.
- Electromagnetic
TheoreticalPrediction:
MIT-BNL ORNL-Harvard ORNL-ILL... ILL-Sussex-RAL... PNPI
Neu
tron
ED
M E
xper
imen
tal l
imit
(e·c
m)
Year
Present limit Estimation of accuracy at ILL
Estimations of accuracy at super UCN source in Gatchina
Cosmology
50
!
!!
2011 2012 2013 2014 2015 2016 2017 201810-28
10-27
10-26
10-25
Neutron E
DM
Exp
erim
enta
l lim
it, e
·cm
Year
double-chamber @ ILL MAM position
PNPI-ILL-PTI collaborationProspects to increase sensitivity of EDM measurements
Gatchina EDM spectrometer 1975
Gatchina EDM spectrometer at ILL
PF2 position EDM
52
EDM spectrometer on the position EDM PF2(legs of platform have to be cut ( 1.3 m))
53
Magnetic shielding
HV
Electronic equipment
UCN from turbine
upstairs
detectors
Polarizer
analyzers
GAIN FACTOR IN UCN DENSITY is 3 - 4 times.
Test beam
EDM sensitivity at PF2 position “EDM”
2013 - 2014. New position at PF2 (EDM instead of MAM) Factor in UCN density is about 3 – 4 times in respect to MAM position.
ρucn at entrace ~ 20 ucn/cm3, δDedm ~ 1 10∙ -25
e cm/day∙ Upper limit of sensitivity : 1 10∙ -26 e cm/100 ∙
days
2011 2012 2013 2014 2015 2016 2017 201810-28
10-27
10-26
10-25
double-chamber @ ILL EDM position
Neutron E
DM
Exp
erim
enta
l lim
it, e
·cm
Year
double-chamber @ ILL MAM position
PNPI-ILL-PTI collaborationProspects to increase sensitivity of EDM measurements
Gatchina EDM spectrometer 1975
Gatchina EDM spectrometer at ILL
EDM sensitivity at new position H172B, UCN source with superfluid He at ILL.
2015. New position at H172B, UCN source with superfluid He at ILL. Factor in UCN density is about 10 times in respect to PF2 EDM position. ρucn at entrace ~ 200 ucn/cm3,
δDedm ~ 3.5 10∙ -26 e cm/day∙
Upper limit of sensitivity : 3.5 10∙ -27 e cm/100 days∙
2011 2012 2013 2014 2015 2016 2017 201810-28
10-27
10-26
10-25
double-chamber @ ILL UCN source with superfluid He
double-chamber @ ILL EDM position
Neutron E
DM
Exp
erim
enta
l lim
it, e
·cm
Year
double-chamber @ ILL MAM position
PNPI-ILL-PTI collaborationProspects to increase sensitivity of EDM measurements
Gatchina EDM spectrometer 1975
Gatchina EDM spectrometer at ILL
PNPI-ILL-PTI collaboration at Gatchina UCN supersource
at PNPI WWR-M reactor
future prospects
New facilities at PNPI, UCN source with superfluid He.
2016. New facilities at PNPI, UCN source with superfluid He. Factor in UCN density is about 60 times with respect to H172B ILL facility.
ρucn at entrace ~ 12000 ucn/cm3, δDedm ~ 5 10∙ -27 e cm/day∙
Upper limit of sensitivity : 5 10∙ -28 e cm/100 day∙2017 -2018. New facilities at PNPI, UCN source with
superfluid He. Multichamber EDM spectrometer. ρucn at entrace ~ 12000 ucn/cm3, δDedm ~ 3 10∙ -27 e cm/day∙
Upper limit of sensitivity : 3 10∙ -28 e cm/100 day∙
2011 2012 2013 2014 2015 2016 2017 201810-28
10-27
10-26
10-25
double-chamber @ PNPI super UCN source
double-chamber @ ILL UCN source with superfluid He
double-chamber @ ILL EDM position
Neutron E
DM
Exp
erim
enta
l lim
it, e
·cm
Year
double-chamber @ ILL MAM position
PNPI-ILL-PTI collaborationProspects to increase sensitivity of EDM measurements
Gatchina EDM spectrometer 1975
Gatchina EDM spectrometer at ILL
2011 2012 2013 2014 2015 2016 2017 201810-28
10-27
10-26
10-25
multi-chamber @ PNPI super UCN source
double-chamber @ PNPI super UCN source
double-chamber @ ILL UCN source with superfluid He
double-chamber @ ILL EDM position
Neutron E
DM
Exp
erim
enta
l lim
it, e
·cm
Year
double-chamber @ ILL MAM position
PNPI-ILL-PTI collaborationProspects to increase sensitivity of EDM measurements
Gatchina EDM spectrometer 1975
Gatchina EDM spectrometer at ILL
62
Project of ultracold and cold neutron source
with superfluid helium at WWR-M reactor
Vertical cross section of WWR-M reactor.1 – reactor core, 2 – reactor tank, 3 – concrete protection, 4 – chamber above the reactor, 5 – horizontal channel, 6 – thermal column, 7 – vertical channel.
Cross section of WWR-M reactor
63
Thermal column of WWR-M reactor
Idea
UCNs are generated in helium from cold neutrons of 9Ǻ wavelength (12 K energy). It is correspond with phonon energy: cold neutron enegizes phonon, practically stops and becomes an ultracold one. UCN can “lives” in superfluid helium for tens or hundreds of seconds until a phonon be captured. Cold neutrons (9Ǻ) penetrate through the wall of a trap, but ultracold neutrons (500Ǻ) are reflected, that is why UCN can be accumulated up to the density defined by the time of storage in the trap filled with superfluid helium.
64
CN =9 Å, T=12 K
UCN =500 Å, T=10-3 K
phonon
He Т=1.2 К
Pb Т=300 К
Ф=1014 n/(cm2s)Q=15 MW
Al, QAl=13 W
C, QC=700 W
Pb, QPb=15 кW
19 W
65
LD2 Т=20 К
C Т=300 К
LD2, QLD2+Al=100 W
MCNP neutron flux calculation results and heat generation in thermal column of WWR-M reactor at 15
MW
ucn=104 сm-3 (=10 s)Ф=4.5∙1012 n/(сm2s)Ф(=9 А)=3 10∙ 10 n/(сm2sA)QHe=6 W
Cryogenic scheme of UCN source with superfluid He
1 – He II cell; 2 – UCN neutron guide, 3 – CN neutron guide, 4 – He II supply pipe, 5 – lower bath @ 1.2 К, 6 – intermediate bath @ 1.2 К, 7 –3Не filter, 8 – level sensor, 9 – upper bath @ 4.2 К, 10 – helium supply valve, 11 – level sensor, 12 – vacuum pipe (gravitation trap for UCN), 13 – vacuum pipe for lower bath, 14 – vacuum pipe for intermediate bath, 15 – main vacuum manifold, 16 – UCN neutron guide membrane, 17 – CN neutron guide membrane, 18 – thermal shield @ 20 К, 19 – vacuum jacket, 20 – UCN outer neutron guide, 21 – CN outer neutron guide, 22 –helium supply at temperature of 4.2 К, 23 – pipe for helium vapour removal, 24 – helium supply for thermal shield 18, 25 – helium removal from thermal shield 18, 26 – pumping of vacuum jacket.
UCN
CN
66
67
а – Pb shielding mounting; b – graphite block mounting; c – mounting of cryostat, UCN superconductive polarizer and UCN switchboard; d – mounting of biological shielding.
а b
c d
Installation of UCN source on WWR-M reactor
hall of thermal neutrons hall of cold neutrons
hall of very cold neutrons
hall of ultracold neutrons
Ultracold and cold neutron source at WWR-M reactor with neutron guide halls
68
Demounting of old equipments
Demounting of old equipments is finished
General view with new equipment
71
Helium refrigerator 15 K, 3000 Watts
72
Helium liquefier50 l/h
Gas system
73
74
Pumping system of helium
High pressure compressors
Water cooling system
Gas Storage System
Preparation of non-standard equipment
Vacuum test of full-scale model of UCN source
Cryogenic test of full-scale model of UCN source
Manufacturing of cryostat for superfluid helium at 1.2 K
Manufacturing of He heating system
Manufacturing of He heating system
Vacuum test of He heater
Manufacturing of He pumping tubes
2011 2012 2013 2014 2015 2016 2017 201810-28
10-27
10-26
10-25
multi-chamber @ PNPI super UCN source
double-chamber @ PNPI super UCN source
double-chamber @ ILL UCN source with superfluid He
double-chamber @ ILL EDM position
Neutron E
DM
Exp
erim
enta
l lim
it, e
·cm
Year
double-chamber @ ILL MAM position
Instead of summary
Gatchina EDM spectrometer
1975
Gatchina EDM spectrometer at ILL
Thank you for attention
США (ORNL) Швейцария (PSI)
Франция (ILL) Япония-Канада (KEK-RCNP-TRIUMF)
Проекты по измерению ЭДМ нейтрона в мире
89
90
UCN density
maximal density inside closed source
density in experimental trap with volume 35 l
density in experimental trap with volume 350 l
1965 1970 1975 1980 1985 1990 1995 2000 2005 2010 201510-7
10-6
10-5
10-4
10-3
10-2
10-1
100
101
102
103
104
105
[13]
[8]
[6][5]
[4][12]
[15-16]
present
[3] [9]
[10]
first testexperimentwith SD
2
PNPI
SD2 Mainz
project [17]
projects
ILLILL
first test experimentswith superfluid He
test experiment
projectSD
2 in pulse mode
SD2 pulse mode
SD2 reactor
PSI-PNPIPNPI
PNPI
LANL-PNPI
SRIAR
ILL
ILL
IAETUM
IAE
J INR
PNPIPNPI
PNPI
PNPIPNPI
PNPI
UC
N d
ensi
ty, cm
-3
years
Comparison of expected UCN density with UCN density of present sources
UCN density (сm-3) Gain factor
Present project 104
ILL (turbine source) 10 103
91
I.Ya. Pomeranchuk “Selected works”
Neutron scattering in liquid helium
UCN source based on superfluid He-IIR. Golub, J.M. Pendlebury, Phys. Lett. A 62 (1977) 337
Ebeg=12 K EUCN10-3 K
=9 Å
92
About neutron scattering with energy a few degree in fluid Helium II
The scattering of slow neutron in He-II is considered. It is shown that the scattering is a negligible small at the temperature below than temperature of critical point.
H.Yoshiki experiment at ILLPhys. Lett. A 308 (2003) 67-74
time, s
neut
ron
coun
tne
utro
n co
unt
wavelength, A
stor
age
time,
s
temperature, K
UCN density in the source =СФ(=9Å)=2.7107 n/(сm2sА)С – UCN generation (0.90.1) n/(сm3s)- storage time in the source10 сm-3
93
94
Storage time of UCN in He-II (results of experiment)de
tect
or c
ount
s
holding time, s
temperature, K
stor
age
time,
s
10
T=1.16 K
93 s (T=0.49 K)
1.3 K
1.0 K
103
102
1000 s
100 s
10 s
20 s30 s
70 s
Process of capture and accumulation of DM in gravitational field of Earth
Galaxy flux of dark matter
thermalisation inside the Earth
galo due to particles with kinetic energy less than potential energy
escape from gravitational field of Earth for particles with kinetic energy more than potential energy
Density on the Earth surface forlong-range interacting DM and WIMPs DM
M.Onegin, A.Serebrov, O.Zherebtsov. arXiv:1109.3391 [nucl-ex] 15 September
factor of increasing for
long-range DM ~ 106factor of increasing for
WIMPs DM ~ 102
Possible scheme of DM motion around Earth
Moon EarthSun
Assumption of predicted behaviour of the dark matter captured by the system Earth-Moon
Treatment of experimental results with time period 24 hours 50 minutes
29 Aug – 22 Sep 2007 10 Nov – 03 Dec 2007
(/)24h50m =(-1.9±1.0)10-4 (/)24h50m =(-1.4±1.3)10-4
(/)24h50m =(-1.7±0.8)10-4
0 2 4 6 8 10 12 14 16 18 20 22 24 260,2580
0,2585
0,2590
0,2595
0,2600
0,2605
0,2610
(D1 e
+ D
2 e) / M
f
time, h
29 aug - 22 sep holding 300 sModel mirr (User)
Equationy = y0+A*sin(pi*(x-xc)/w)
Reduced Chi-Sqr
1,53168
Adj. R-Square 0,06672
Value Standard Error
F
y0 0,25945 1,87832E-5
A -5,07259E-5 2,65748E-5
xc 13,58749 2,06928
w 12,42058 0
0 2 4 6 8 10 12 14 16 18 20 22 24 260,2850
0,2855
0,2860
0,2865
0,2870
0,2875
0,2880
(D1
e + D
2e)
/ M
f
10 nov - 3 dec holding 300 s
time, h
Model mirr (User)
Equationy = y0+A*sin(pi*(x-xc)/w)
Reduced Chi-Sqr
2,07383
Adj. R-Square -0,04276
Value Standard Error
B
y0 0,28682 2,68501E-5
A -3,91642E-5 3,80974E-5
xc -1,66311 3,82023
w 12,42058 0
Constraints for parameters and from: neutron lifetime experiments (UCN-1), kcapt=1; UCN low energy upscattering (UCN-2), kcapt=1; experiments for matter-matter interaction (M-M).
And prediction for and from DAMA experiment.
A
r
N n DM
rq n DM
r
OM DM n DM
G m M(r) e
r
G m M(r) e
r
g g m M(r) e
r
Conclusion about daily variation of storage time (200 s)
1. Experimental limit for variation of storage time (200 s) with time period 24 hours is:
(/)24h ≤210-4 (90% C.L.)
2. Experimental limit for variation of storage time (200 s) with time period 24 hours 50 minutes (lunar day) is:
(/)24h50m ≤310-4 (90% C.L.)
A.Serebrov, O. Zherebtsov. Astronomy Letters 37 (2011) 181, arXiv:1004.2981v2
If one assumes that in the DAMA experiment the signal of long range dark matter has been observed, it is possible to set restriction on the upper limit for density of long range dark matter on the Earth: g/сm-3, using the experimental results with UCN.
Conclusion about density of low energy dark matter
with long range forces on the Earth
E-surface 13DM 6.6 10
E surface12DM
capt gal.DM
k 1.3 10