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A detection system to measure muon-induced neutrons

for direct Dark Matter searches

V.Yu. Kozlov, E. Armengaud, C. Augier, A. Benoit, L. Bergé, O. Besida, J.

Blümer, A. Broniatowski, V. Brudanin, A. Chantelauze, et al.

To cite this version:

V.Yu. Kozlov, E. Armengaud, C. Augier, A. Benoit, L. Bergé, et al.. A detection system to measure

muon-induced neutrons for direct Dark Matter searches. Astroparticle Physics, Elsevier, 2010, 34 (2),

pp.97. �10.1016/j.astropartphys.2010.06.001�. �hal-00668570�

(2)

Accepted Manuscript

A detection system to measure muon-induced neutrons for direct Dark Matter

searches

V.Yu. Kozlov, E. Armengaud, C. Augier, A. Benoit, L. Bergé, O. Besida, J.

Blümer, A. Broniatowski, V. Brudanin, A. Chantelauze, M. Chapellier, G.

Chardin, F. Charlieux, S. Collin, X. Defay, M. De Jésus, P. Di Stefano, Y.

Dolgorouki, J. Domange, L. Dumoulin, K. Eitel, J. Gascon, G. Gerbier, M. Gros,

M. Hannawald, S. Hervé, A. Juillard, H. Kluck, R. Lemrani, P. Loaiza, A.

Lubashevskiy, S. Marnieros, X.-F. Navick, E. Olivieri, P. Pari, B. Paul, S.

Rozov, V. Sanglard, S. Scorza, S. Semikh, A.S. Torrentó-Coello, L. Vagneron,

M-A. Verdier, E. Yakushev

PII:

S0927-6505(10)00113-1

DOI:

10.1016/j.astropartphys.2010.06.001

Reference:

ASTPHY 1497

To appear in:

Astroparticle Physics

Received Date:

24 February 2010

Revised Date:

1 June 2010

Accepted Date:

11 June 2010

Please cite this article as: V.Yu. Kozlov, E. Armengaud, C. Augier, A. Benoit, L. Bergé, O. Besida, J. Blümer, A.

Broniatowski, V. Brudanin, A. Chantelauze, M. Chapellier, G. Chardin, F. Charlieux, S. Collin, X. Defay, M. De

Jésus, P. Di Stefano, Y. Dolgorouki, J. Domange, L. Dumoulin, K. Eitel, J. Gascon, G. Gerbier, M. Gros, M.

Hannawald, S. Hervé, A. Juillard, H. Kluck, R. Lemrani, P. Loaiza, A. Lubashevskiy, S. Marnieros, X.-F. Navick,

E. Olivieri, P. Pari, B. Paul, S. Rozov, V. Sanglard, S. Scorza, S. Semikh, A.S. Torrentó-Coello, L. Vagneron,

M-A. Verdier, E. Yakushev, A detection system to measure muon-induced neutrons for direct Dark Matter searches,

Astroparticle Physics (2010), doi:

10.1016/j.astropartphys.2010.06.001

This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers

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ACCEPTED MANUSCRIPT

A detection system to measure muon-induced neutrons for direct Dark Matter searches

V.Yu. Kozlov∗,a, E. Armengaudb, C. Augierc, A. Benoitd, L. Berg´ee, O. Besidab, J. Bl¨umera,f, A. Broniatowskie, V. Brudaning,

A. Chantelauzea, M. Chapelliere, G. Chardine, F. Charlieuxc, S. Colline, X. Defaye, M. De J´esusc, P. Di Stefanoc,1, Y. Dolgoroukie,

J. Domangeb,e, L. Dumouline, K. Eitela, J. Gasconc, G. Gerbierb, M. Grosb, M. Hannawaldb, S. Herv´eb, A. Juillardc, H. Klucka,

R. Lemranib, P. Loaizai, A. Lubashevskiyg, S. Marnierose, X.-F. Navickb, E. Olivierie, P. Parih, B. Paulb, S. Rozovg, V. Sanglardc,

S. Scorzac, S. Semikhg, A.S. Torrent´o-Coellob, L. Vagneronc, M-A. Verdierc, E. Yakushevg

aKarlsruhe Institute of Technology, Institut f¨ur Kernphysik, Postfach 3640, 76021 Karlsruhe, Germany

bCEA, Centre d’ ´Etudes Nucl´eaires de Saclay, IRFU, 91191 Gif-sur-Yvette Cedex, France

cInstitut de Physique Nucl´eaire de Lyon, Universit´e de Lyon (Universit´e Claude Bernard Lyon 1) et IN2P3-CNRS, 4 rue Enrico Fermi, 69622 Villeurbanne, France

dInstitut N´eel, CNRS, 25 Avenue des Martyrs, 38042 Grenoble cedex 9, France

eCentre de Spectroscopie Nucl´eaire et de Spectroscopie de Masse, UMR8609 IN2P3-CNRS, Univ. Paris Sud, bˆat 108, 91405 Orsay Campus, France

fKarlsruhe Institute of Technology, Institut f¨ur Experimentelle Kernphysik, Gaedestr. 1, 76128 Karlsruhe, Germany

gLaboratory of Nuclear Problems, JINR, Joliot-Curie 6, 141980 Dubna, Moscow Region, Russian Federation

hCEA, Centre d’ ´Etudes Nucl´eaires de Saclay, IRAMIS, 91191 Gif-sur-Yvette Cedex, France

iLaboratoire Souterrain de Modane, CEA-CNRS, 1125 route de Bardonn´eche, 73500 Modane, France

Abstract

Muon-induced neutrons constitute a prominent background component in a number of low count rate experiments, namely direct searches for Dark Matter. In this work we describe a neutron detector to measure this background in an underground laboratory, the Laboratoire Souterrain de Modane. The system is based on 1 m3of Gd-loaded scintillator and it is linked with the muon veto of

the EDELWEISS-II experiment for coincident muon detection. The system was installed in autumn 2008 and passed since then a number of commissioning tests proving its full functionality. The data-taking is continuously ongoing and a count rate of the order of 1 muon-induced neutron per day has been achieved.

Key words: Neutron background, Muon-induced neutrons, Dark matter, Underground physics

1. Introduction

1

A common challenge in rare-event searches is an accurate

2

and precise understanding of all background components. A

3

typical approach is based on a combination of Monte-Carlo

4

simulations and dedicated measurements. In this work we

5

present a detection system to study the production of

muon-6

induced neutrons in an underground laboratory. The main goal

7

is to perform a quantitative analysis of this background

com-8

ponent in the specific environment of Laboratoire Souterrain

9

de Modane (LSM) within the context of EDELWEISS-II [1, 2]

10

and EURECA [3] direct dark matter (DM) search experiments.

11

Corresponding author, Valentin.Kozlov@kit.edu

1Present address: Department of Physics, Queen’s University, Kingston,

ON, K7L 3N6, Canada

Such experiments probe nature for weakly interacting massive

12

particles (WIMP), as the most promising DM candidate, by

13

means of nuclear recoils originating from a WIMP-nucleon

14

elastic scattering. The expected interaction rate of WIMPs is

15

extremely small, i.e. below 0.01 event per day and per kilogram

16

of the target material, thus rising up the importance of the

back-17

ground knowledge. The recent developments in discrimination

18

techniques of the DM detectors [4] allow a very powerful

rejec-19

tion of the electromagnetic background while neutrons reaching

20

a detector with energies of the order of 1 MeV, in the case of

21

EDELWEISS-II, can cause a signal potentially

indistinguish-22

able from the WIMP-nucleon scattering. The neutrons arise

23

in an underground laboratory either from natural radioactivity

24

having initial energies below 10 MeV, which can be effectively

25

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ACCEPTED MANUSCRIPT

shielded, or being produced in a muon-induced cascade with

26

energies up to several hundred MeV and able to travel far from

27

a production vertex. In this paper we concentrate on

study-28

ing the latter ones. The effect of the muon-induced neutron

29

background can be reduced considerably by tagging the

origi-30

nal muons with a muon veto around an experiment. However,

31

the neutrons produced in the rock by muons passing outside of

32

the setup and hence missed by the veto, can still reach the DM

33

detectors. These neutrons can also lead to an in-situ production

34

of secondary neutrons via spallation, especially in a lead (Pb)

35

material commonly used around the DM detectors for an e

ffi-36

cient gamma attenuation. In addition, a fraction of muons can

37

be missed due to a non-ideal muon veto efficiency and result in

38

a neutron production inside the shielding, again predominantly

39

in the Pb material.

40

In general, to measure the muon-induced neutron

back-41

ground is a challenging task due to its low intensity and its

42

dependence on the actual experimental set-up. For instance,

43

one could look for coincidences between the muon veto and the

44

DM detectors but as the current data-taking of

EDELWEISS-45

II shows, only few muon-induced events are identified in an

46

exposure of several hundred kg.days [2, 5]. To perform

corre-47

sponding Monte-Carlo simulations is not a simple issue either,

48

since many parameters have to be taken into account, e.g. the

49

muon energy spectrum and the flux in an underground

labora-50

tory, production of neutrons by hadronic and electromagnetic

51

muon-induced showers, material dependency of this

produc-52

tion, three dimensional topology of interactions. As reviewed in

53

[7, 8], measurements of neutron production rates in liquid

scin-54

tillator at different laboratory depths can be well described by

55

most frequently used packages, GEANT4 [9] and FLUKA [10],

56

which are in agreement with each other within ≤30% at the

57

muon energies specific for an underground laboratory.

How-58

ever, the calculated neutron yield for Pb and an ordinary rock

59

can vary up to a factor of 2 between the packages, being lower

60

in GEANT4 [7]. Experimental neutron production rates in Pb

61

measured in [11, 12] and scaled to the same mean muon energy

62

appear to be inconsistent within a factor of 3 among each other

63

and may suggest that both simulation packages underestimate

64

the neutron yield in heavy targets [7, 13]. On the other hand,

65

recent studies performed in [14] with an existing experimental

66

setup though not fully optimized to the specific needs of

muon-67

induced neutron detection result in a measured neutron yield

68

in Pb being 1.8 (3.6) times smaller than predicted in GEANT4

69

(FLUKA). Overall, these measurements give a spread of

neu-70

tron production rate in Pb of nearly one order of magnitude

71

which can affect the sensitivity of DM experiments by the same

72

factor.

73

In order to measure the muon-induced neutron background

74

and to develop the corresponding background model optimized

75

for the LSM laboratory hosting the EDELWEISS-II experiment

76

and the future one, EURECA, we have designed and installed

77

a dedicated neutron counter. Having the neutron detector

in-78

location of present and planned DM set-ups allows to avoid

79

several uncertainties in the simulations, e.g. arising from

calcu-80

lations of the muon energy spectrum and the muon flux in the

81

laboratory. The goal is to investigate the muon-induced neutron

82

yield in Pb either with or without tagging the incident muon to

83

an accuracy of better than 25% with equal statistical and

sys-84

tematic uncertanties expected. One should also note here, that

85

the EDELWEISS-II strategy on neutron background

investiga-86

tion is complemented by continuous monitoring of the thermal

87

neutron flux in the vicinity of the DM experiment by means of

88

3He detectors [15]. Another new experiment to study muon-89

induced neutron flux deep underground was proposed by other

90

authors in [16]. The investigation of the neutron background is,

91

in fact, not limited to the field of dark matter and is relevant, for

92

instance, for experiments looking for neutrinoless double beta

93

decay, e.g. NEMO-3 [17] and SuperNemo [18] with their

lo-94

cation in LSM too. Furthermore, the results of our studies of

95

muon-induced neutrons are as well applicable to other

under-96

ground laboratories.

97

The structure of the paper is as follows: in Sect. 2, a

gen-98

eral overview of muon interactions and production of secondary

99

neutrons is given, emphasizing the role for DM search. Sect. 3

100

describes the details of the neutron detector installed in LSM,

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ACCEPTED MANUSCRIPT

including the data acquisition system, LED-based control of the

102

liquid scintillator and a safety monitoring. Results of

commis-103

sioning runs demonstrating the performance of the system are

104

discussed in Sect. 4. Sect. 5 presents preliminary data from

105

first physics runs as proof-of-principle. In Sect. 6, we conclude

106

with a summary and an outlook of the anticipated data taking

107

necessary to get full physics results.

108

2. Muon induced neutrons

109

Atmospheric muons are mainly produced in decays of

110

charged pions and kaons created in an interaction of primary

111

cosmic rays with the atoms of the Earth’s atmosphere. The

en-112

ergy spectrum of muons extends above 1 TeV while the mean

113

energy is about 4 GeV at the ground [19]. The overall angular

114

distribution of muons at the sea level is ∝ cos2θ (θ being the 115

zenith angle), at lower energy it becomes increasingly steep,

116

while at higher energy it flattens, approaching a 1/cos θ

dis-117

tribution for Eµ  115 GeV and θ < 70◦ [19]. The total

118

muon energy spectrum in the underground lab can be

calcu-119

lated rather well in the assumption of flat overburden [8, 20]

120

and it becomes harder, e.g. DELS Mµ E = 260 − 290 GeV. To get 121

a corresponding angular distribution for an underground site,

122

a mountain profile has to be taken into account and thus it

123

becomes laboratory specific. When passing through the rock,

124

the muons lose their energy in four main processes: ionization

125

(including the production of high-energy δ-electrons),

produc-126

tion of e−e+-pairs, bremsstrahlung and deep inelastic scatter-127

ing (DIS). These processes naturally also lead to a

develop-128

ment of electromagnetic and hadronic showers. Therefore,

un-129

der the muon-induced background one has to consider, in

gen-130

eral, all particles created both directly by original muons and

131

in secondary cascades. As it was already explained in the

in-132

troduction, neutrons constitute the most dangerous background

133

component for direct DM searches among other muon-induced

134

particles. GEANT4 simulations show (Fig. 1) that most of

135

the neutrons are created in the secondary cascades,

predomi-136

nantly by photonuclear interaction, pion and neutron inelastic

137

scattering, pion absorption at rest and proton inelastic

scatter-138

ing [7, 20]. The contribution of direct muon nuclear

interac-139

tion being the second most important one at low muon

ener-140

gies decreases with higher energies because of larger

electro-141

magnetic and hadronic cascades. Neutrons produced in

elec-142

tromagnetic interactions have typically low energy and can be

143

effectively absorbed. In contrast, the hadronic showers and

es-144

pecially high energy muon DIS reactions lead to a production

145

of energetic neutrons which can travel far away from the

cre-146

ation point, reach the DM set-up, penetrate the entire shielding

147

and cause nuclear recoils in the DM detectors either directly

148

or by a neutron spallation in the high-Z material surrounding

149

the experimental setup. It also has to be noted that neutron

150

production generally increases with the muon energy and the

151

average atomic weight of the material, e.g. in Pb there will be

152

∼100 times more neutrons created compared to CnH2nand ∼10 153

times more compared to rock or concrete of the same thickness

154

[6, 7, 8, 20]. To model the effect of the muon-induced neutrons

155

in application to DM searches, it is thus essential to take into

ac-156

count all the processes aforementioned, track each single

parti-157

cle through different materials down to an energy deposit in DM

158

detectors on an event-by-event base. Monte-Carlo simulations

159

based on the GEANT4 toolkit (version 8.1.p01) were developed

160

in [20] and included all these aspects, profile of the mountain,

161

full geometry of the EDELWEISS-II experiment and topology

162

of an event. The EDELWEISS-II set-up, described elsewhere

163

[1], hosts in a single cryostat an array of Ge bolometers used

164

as DM detectors. The cryostat is surrounded by 20 cm lead

165

shield, followed by 50 cm polyethylene and a modular muon

166

veto [5, 21]. As the simulations show [20], most of neutrons

167

leading to energy deposit in Ge bolometers are due to secondary

168

production in the Pb shield near the cryostat. The rate of this

169

background for the optimized EDELWEISS-II set-up can be

170

as low asΓ ∼ 10−5/kg/day once the anti-coincidence with the 171

muon veto and with other bolometers is required but crucially

172

depends on the shielding concept and the muon veto efficiency.

173

As follows from these simulations and the ones described in [8],

174

these muon-induced neutrons are not a matter of concern for

175

the current phase of EDELWEISS-II aiming for the sensitivity

176

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ACCEPTED MANUSCRIPT

E (GeV)m Relative process contribution (%) 10 100 1000 100 10 1 g®N p®N n®N pabs p®N m®N others

Figure 1: Relative contribution of individual processes to the total neutron

pro-duction yield as a function of the muon energy in CnH2n, GEANT4 simulations.

Figure is adopted from [20], the lines are drawn to guide the eye.

of 10−8 pb for the spin-independent WIMP-nucleon scattering 177

cross-section but may become so for the next phase and

espe-178

cially for the next generation DM experiments with the goal

179

of 10−10 pb, such as EURECA. With the neutron counter

de-180

scribed here we intend to gather statistically significant data for

181

validation and further development of our background model

182 [20]. 183 3. Experimental set-up 184 3.1. Measurement principle 185

The LSM underground lab, where the designed neutron

de-186

tector is installed, is situated in the Fr´ejus road tunnel in

187

the French-Italian Alps and has an overburden shielding of

188

4850 m.w.e. This reduces the muon flux down to about

189

5 /m2/day [22], i.e. by more than a factor of 106 comparing

190

to sea level. Such a low rate naturally leads to a low flux

191

of muon-induced neutrons and requires a relatively large size

192

of the instrument. To measure the neutron yield originated

193

from well-identified muons interacting in Pb, the developed

194

neutron counter (NC) has a layer of Pb and its read-out

sys-195

tem is coupled to the muon veto system of the

EDELWEISS-196

II experiment for a good tagging of incident muons. In order

197

to achieve an efficient detection of neutrons, a

Gadolinium-198

loaded liquid scintillator is used. The primary trigger in this

199

case is associated with the muon itself and following triggers

200

correspond to secondary neutrons predominantly created in Pb

201

and captured thereafter on Gadolinium (Gd). A measurement

202

of the neutron production rate without demanding a primary

203

muon tag can only be done by requiring a multiple trigger

oc-204

currence in the NC within a predefined acquisition window

205

(tDAQ ≈ 60 µs). Together with an appropriate energy thresh-206

old this allows to effectively reject accidental background. For

207

these events the primary trigger arises from any particle

pro-208

duced in muon cascades. For instance, high energy gamma’s

209

can first lead to Compton scattering in the NC scintillator

vol-210

ume and only then produce secondary neutrons in the Pb layer

211

via photonuclear reaction. High energy neutrons could create a

212

prompt recoil proton at first and then generate secondary

neu-213

trons being characterized as a multiple neutron capture event.

214

In this mode we study the overall neutron production rate

with-215

out identifying the primary particle. The events with

multiplic-216

ity 2, i.e. a primary trigger and one secondary, may in part

217

contain a contribution of correlated backgrounds, e.g. the fast

218

neutrons originating from natural radioactivity or β-decays of

219

214Bi followed by an α-decay of 214Po: The flux of the am-220

bient neutrons is 10−6 neutrons/cm2/s above 1 MeV [23], the 221

energy spectrum extends to 10 MeV but is strongly suppressed

222

above 4 MeV [23, 24]. Nevertheless, these neutrons can still

223

lead to recoil protons above the NC threshold and then be

cap-224

tured in the scintillator. 214Bi comes from the Uranium-chain, 225

undergoes the β-decay with the endpoint energy of 3.27 MeV

226

to214Po which then α-decays with a half-life of 164.3 µs and

227

Eα = 6.6, 6.9, 7.68 MeV. Thus both β- and α-particles can de-228

posit energy above the NC threshold within the acquisition

win-229

dow of tDAQ ≈ 60 µs. This implies that events with one sec-230

ondary hit need special attention in the analysis while the effect

231

of both background components is negligible for higher

multi-232

plicities in our studies.

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3.2. General overview

234

The core of the detector consists of 1 m3of liquid scintillator

235

(50x100x200 cm3) loaded with 0.2% of Gd by weight, St. Gob-236

ain Bicron BC525. The neutron capture on Gd has the largest

237

cross-section (σγ = 2.54 · 105 b for157Gd, 15.65% of natural 238

abundance [25]) compared to other stable elements and results

239

in several γ’s with a summed energy of 8 MeV. Adding 0.2%

240

of Gd in organic scintillator leads to a capture time, τcapture, of 241

about 17 µs while a typical time needed for neutrons to

thermal-242

ize is defined by the proton density in the liquid and is ∼10 µs

243

(see Sect. 4.3). Underneath the detector, a 10-cm thick layer of

244

lead bricks is put for studies of the neutron yield. The

thick-245

ness of this layer was chosen by considering the process of

sec-246

ondary neutron production, the probability for these neutrons

247

to reach the scintillator and the mechanical stability of the

in-248

strument. The geometry of the NC scintillator volume was

op-249

timized for the efficiency of neutron detection with specially

250

adapted Monte-Carlo simulations based on GEANT4 (version

251

8.1.p01) and taking into account space and security restrictions

252

of the underground laboratory. In the simulations it was found

253

that most of the secondary neutrons are captured after ∼20 cm

254

of penetration into the scintillator. The registration efficiency

255

of gammas produced by Gd(n,γ) saturates once a 50-cm thick

256

system is realized (Fig. 2), thus defining the thickness of the

257

instrument. However, this efficiency is significantly less than

258

100% because of a partial escape of neutron-capture gammas

259

as a consequence of a limited neutron penetration into the

scin-260

tillator, as well as due to an applied energy threshold. As an

261

example, for En= 10 MeV and a threshold of 3 MeV it reaches 262

a value of ∼33%. For higher neutron energies, the inelastic

263

scattering process (n, 2n) starts to play a role, thus increasing

264

the detection efficiency. Due to the partial γ escape it is

ob-265

vious that, instead of the γ-peak at 8 MeV sum energy

origi-266

nating from the neutron capture on Gd, a continuous spectrum

267

extending to 8 MeV is expected. The detector volume is

di-268

vided in three compartments: a central one containg the 1 m3 269

of scintillator, and two smaller ones on either side to hold the

270

photomultipliers and filled with highly transparent mineral oil

271

(paraffin) (Fig. 3). There are in total 16 PMTs (8 on each side)

272

of Hamamatsu R5912 type2, 8-inch diameter, the gain and the

273

read-out electronics of which are optimized for the neutron

cap-274

ture events. In addition, 6 smaller PMTs (3 on each side) of

275

Philips VALVO XP 2262 type3, 2-inch diameter, are installed 276

in between of these 8-inch photomultpliers. Since a typical

277

muon signal is well above the dynamic range of the PMT’s

278

used for the neutron registration, the 2-inch PMT’s are

oper-279

ated at a gain adapted to the typical muon energy deposit of

280

the order of 100 MeV. The entire container holding all liquids

281

is made of a transparent plexiglass. A collection of

scintilla-282

tion light thus benefits from the total reflection at the outside

283

surfaces. In order to avoid a pressure build-up possible due

284

to a temperature variation, an expansion bag filled with an

ar-285

gon gas is connected to the scintillator volume through a siphon

286

system. The plexiglass chamber is wrapped with an aluminum

287

foil to further improve the light collection. It is then placed in

288

an aluminum vessel as a safety container. Finally, the system

289

is surrounded by iron plates (excluding top plane) to reflect a

290

fraction of neutrons back to the scintillator. To allow a

coin-291

cidence measurement of the incident muon, the NC is coupled

292

electronically with the existing muon veto of the

EDELWEISS-293

II experiment. This veto system (µVeto) is constructed from 42

294

plastic scintillator modules (BC-412 type from St.Gobain) with

295

a total of 100 m2 of surface. It is further extended by an ad-296

ditional module (5x65x315 cm3) placed on top of the neutron 297

detector and the 2-inch PMTs of the NC, described above. The

298

complete set-up is positioned right near the western wall of the

299

EDELWEISS muon veto system.

300

3.3. Data acquisition

301

As was described in Sect. 3.1, two event signatures for

muon-302

induced neutrons are considered: i) A high energy muon

trig-303

gers either the muon system only or the muon veto and the

304

neutron counter together. A delayed signal due to a neutron

305

capture is then looked for in the NC; ii) Multiple trigger

occur-306

2these PMT’s are called neutron PMT’s in the following

3these PMT’s are named correspondently muon PMT’s

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ACCEPTED MANUSCRIPT

Paraf

fin

Gd-loaded scintillator

µ

muon veto module

Lead bricks

Leak sensor

n'

s siphon

8''

8''

2'' 0 6 3 7 1 2 4 5

Figure 3: Left: general layout of the neutron counter detector, positions of LED’s are indicated by stars. Right: a view from inside of the installed but not yet filled

scintillator chamber, 8 of the 8-inch and 3 of the 2-inch PMTs are seen. Numbers indicate different PMT groups consisting of two 8-inch PMTs (A,B) each.

Scintillator thickness (cm) 0 20 40 60 80 100 started / N detected N 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 = 0.5 MeV n E = 2 MeV n E = 10 MeV n E = 15 MeV n E = 50 MeV n E 3 MeVdep γ E

Figure 2: Neutron detection efficiency, i.e. number of registered neutrons vs. number of incident neutrons, as a function of scintillator thickness (GEANT4 simulation). Neutron is considered to be registered when it is captured and the following γ’s deposit in the scintillator a sum energy above 3 MeV in this case. Neutrons start isotropically with different energies (indicated on the plot) and equally distributed over a horizontal bottom surface of the detector.

rence happens in the NC detector within a defined time window

307

(tDAQ ≈ 60 µs). The developed data acquisition system (DAQ) 308

accounts for both of these possibilities and allows to configure

309

two different measurement subsystems separately optimized for

310

cases i) and ii). It is based on VME electronics, integrated into

311

the µVeto DAQ and uses specially built software in a Linux

en-312

vironment. First, in order to enhance the light collection two

313

neighboring neutron PMT’s (denoted A and B, Fig 3(right) and

314

Fig. 4) are combined into one group with individual high

volt-315

age supply. Thus, already summed signals are used for an event

316

selection and one measurement subsystem consists of 4 PMT

317

groups, 2 on each side. The signals of each group are split and

318

sent to a discriminator, CAEN V895, as well as with a delay

319

to a flash analog-to-digital converter (ADC), CAEN VX1720,

320

250 MS/s. Once a threshold is exceeded, logic ECL signals

321

generated by the discriminator are delivered to a in-home

devel-322

oped Logic Unit (LU), based on field-programmable gate array

323

(FPGA). This LU takes care of the final acceptance of the event,

324

where the event is considered to happen when at least two

op-325

posite PMT groups related to the same measurement subsystem

326

get a light signal above threshold. In the LU module this is

re-327

alized as follows. Signals from two neighboring PMT groups

328

primarily pass through an OR-logic. Two OR-units having as

329

an input the signals of opposite PMT groups are then wired

330

to an AND-logic, which are thus 2 in total and define our two

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ACCEPTED MANUSCRIPT

measurement subsystems. A coincidence on any of these two

332

AND-units gives a trigger to the flash ADC to convert an analog

333

signal. After a defined delay of tDAQ≈ 60 µs, the LU generates 334

a common stop signal, i.e. ends the acquisition cycle, actuates

335

the DAQ software and withdraws a time stamp of the triggering

336

event from an external clock (10 µs precision). The latter allows

337

to get a direct correspondence between NC and µVeto events.

338

Each of the described above OR- and AND-outputs is connected

339

to a time-to-digital converter (TDC), LeCroy 1176, which

al-340

lows to have a time information of individual hits within the

341

event with the resolution of 1 ns. The flash ADC allows to

re-342

construct an energy signal of every individual hit within tDAQ 343

without creating a dead time. In addition, the LU card is

trig-344

gered also in case of a muon-like event registered by the µVeto.

345

While the DAQ software records an acquired event, the VME

346

bus is locked to avoid distortion of the data. Once the event is

347

processed, the VME bus is reset and the system is ready for a

348

next event. The dead time to treat an event was measured with

349

a pulse generator and was found to be 6.76 ± 0.08 ms, while the

350

typical raw count rate of the NC is 10 Hz.

351

3.4. Monitoring systems

352

When dealing with liquid scintillators, especially Gd-loaded

353

ones, it is important to control their aging as it can influence

354

the registration efficiency with time. For this purpose the NC

355

is equipped with a dedicated system of light-emission-diodes

356

(LED) of 425 nm wavelength, corresponding to the maximum

357

emission of the scintillator. There are 8 LED’s in total: seven

358

located on the same flank of the NC and one, marked ”0”, in the

359

center of the top plain (Fig. 3(left)). Their control is performed

360

from the DAQ computer via a specifically designed VME-based

361

module. It is possible to adjust the voltage of each LED and an

362

individual time of firing, while the duration of a light pulse is

363

fixed by electronic components resulting in a PMT signal of

364

about 10 ns (FWHM). The corresponding electronics is based

365

on the LED calibration system designed for the Pierre Auger

366

Observatory [26]. The control module also generates at the time

367

of LED ignition a logic pulse, or LED flag, which is then given

368

as an input to the TDC of the DAQ (Fig. 4). This flag allows

369

to clean out the data from the LED entries while searching for

370

the muon-induced events in an offline analysis. The LED’s are

371

typically ignited three times per day with a frequency of 1 Hz

372

in a predefined cycle.

373

Another issue of the liquid scintillator used is its

pseudoc-374

umene base, which requires a careful handling. A safety system

375

was thus designed and installed. It contains several vapour

de-376

tectors, two liquid leak sensors, temperature measurement

out-377

side and inside of the system as well as monitoring of the siphon

378

level. All parameters are accessible online through a web-based

379

interface. More details on this slow control monitoring can be

380

found in [27].

381

4. Commissioning

382

The NC detector was installed in LSM in autumn 2008. After

383

a commissioning period, data-taking started in early 2009.

384

4.1. Control of the scintillator transparency

385

Data acquired each day with the LED’s are analyzed to

mon-386

itor the light properties of the scintillator in the following way:

387

one of the central LED’s, e.g. LED0, is used first to normalize 388

the gain of the PMT’s and to account for any temporal

fluc-389

tuations of PMT’s and electronics. Then for the measurement

390

performed with a non-central LEDi, a ratio of ADC signals of 391

“near” PMT’s, i.e. those located closer to the chosen LEDi , 392

and “far” PMT’s is calculated:

393

ηi=

ADC(i)near PMT0s/ ADC (0) near PMT0s

ADC(i)f ar PMT0s/ ADC (0) f ar PMT0s

, i= 1 .. 7

394

Any changes of ηi over time can thus be attributed only to 395

changes in light transport, predominately in the transparency

396

of the scintillator. The parameters ηi are monitored on an 397

everyday basis and 4-months trends measured with two

non-398

central but symmetrically-positioned LED’s, LED2 and LED4 399

(Fig. 3(left)), show consistent relative changes of the η-ratio

400

(Fig. 5). Analysis of the combined data yields a degradation

401

of 15.5±3.1 % per year as the weighted average. A degrading

402

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ACCEPTED MANUSCRIPT

<

1

&

&

< –

1

< –

1

< –

1

< –

1

< –

1

&

TDC

Common stop Ve to Veto Trigger Trigger IRQ Reset

LU

Σ

Σ

Σ

D D D D

ADC

Discriminat

or

Σ

...

...

...

16x 8“P

M

T

LED

8x LED

Timebase

Delay 10 ... 100 µs Clock LED flag

VMEbus

PC

Muon veto trigger

R S 1A 1B 2A 2B 3A 3B 4A 4B

...

...

Figure 4: General layout of the VME-based data acquisition, see Sect. 3.3 for details.

light signal can be compensated by increasing the PMT

sensi-403

tivity accordingly, e.g. by raising the high voltage of the PMTs.

404

In such case this degradation is acceptable for an expected run

405

period of the NC of 2-3 years. The fluctuations of the η-ratio

406

seen in Fig. 5 are typically correlated with variations of the

407

scintillator temperature. The same η-ratio is also reconstructed

408

in GEANT4 simulations of the NC with light propagation

in-409

cluded. The aluminum foil is described with the

groundfront-410

painted model for a diffuse reflection. A value of 0.9 for Al

411

reflectivity is taken, optical properties of the scintillator and the

412

plexiglass are considered. A difference between the absolute

413

η-values of two measurements as seen in Fig. 5 can be

repro-414

duced in the simulations and can be explained by a

misaligne-415

ment of the LED’s and the directional property of the LED light.

416

At present, this simulation agrees with the measurement within

417

20% and further improvement of the light tracking model is

on-418

going.

419

4.2. Identification of muon events

420

Since the described detector is accompanied by two

com-421

plementary systems to identify in particular a muon crossing

422

the NC (µVeto plastic scintillator module on top and the muon

423

PMT’sinside of the NC), their performance has to be checked

424

as well. The average energy of muons passing the mountain

425 date 17/01/09 16/02/09 18/03/09 17/04/09 17/05/09 16/06/09 i η Monitoring parameter 2 2.5 3 3.5 4 4.5 -1 3.6% year ± = 15.6 η / η ∆ : 2 LED 2 η -1 6.0% year ± = 15.1 η / η ∆ : 4 LED 4 η

Figure 5: Long term behaviour of the scintillator transparency: 4-months trends

of the η ratio for two non-central LED’s: LED2(top) and LED4(bottom) (see

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Entries 903 Mean 218.9 RMS 145.9 / ndf 2 χ 41.1 / 38 Constant 165.1 ± 10.4 MPV 98.0 ± 5.3 Sigma 54.4 ± 4.4 E (MeV) 0 50 100 150 200 250 300 350 400 450 Events / 10 MeV 0 20 40 60 80 100 120 140 160 Entries 903 Mean 218.9 RMS 145.9 / ndf 2 χ 41.1 / 38 Constant 165.1 ± 10.4 MPV 98.0 ± 5.3 Sigma 54.4 ± 4.4 Entries 903 Mean 218.9 RMS 145.9 / ndf 2 χ 41.1 / 38 Constant 165.1 ± 10.4 MPV 98.0 ± 5.3 Sigma 54.4 ± 4.4

Figure 6: Energy deposition measured with the muon PMT’s of NC for the events in coincidence with the µVeto module on top of the NC, live time is 177.9 days. Last bin contains events with energy deposition of E≥440 MeV (overflow bin). Landau distribution is fitted to the data and calibrated with MC simulations of muons passing through the NC.

overburden isDELS Mµ E = 260 − 290 GeV, thus one expects

en-426

ergy losses in a 50 cm thick detector following a Landau

distri-427

bution. By selecting events registered by both muon PMT’s and

428

the top µVeto module and reconstructing their energy deposit in

429

the volume of the neutron detector, one finds a good agreement

430

with a Landau expectation (Fig. 6). This spectrum is rather

431

broad due to a superposition of various track lengths ranging

432

from more than 50 cm to very short ones for grazing muons in

433

the NC. The count rate of events that trigger both systems is

434

Γµ= 5.1 ± 0.2 /day, from which one can deduce the muon flux 435

in LSM using the geometrical area and the solid angle of the

436

system. The geometrical overlap is S=1.3 m2, the solid angle 437

is less than 2π due to a 15 cm gap between the µVeto module

438

and the liquid scintillator level in the NC due to the

mechani-439

cal support. In addition, a fraction of muons is missed due to

440

short track lengths of grazing muons leading to energy deposits

441

below the threshold (see the low energy cutoff in Fig. 6). All

442

together, this results in an effective reduction of the measured

443

muon flux estimated to be as large as 30%. Correcting for this,

444

we get an estimated muon flux of 5/m2/day which is in

agree-445

ment with an earlier measurement ofΦµ= 4.98 ± 0.09 /m2/day 446 [22]. 447 E (MeV) 0 2 4 6 8 10 12 Events / 50 keV 0 200 400 600 800 1000 1200 1400 1600 1800

AmBe 1st hit (meas) Entries 89665 Mean 4.5 RMS 1.3

AmBe: 1st ADC hit (meas) 1st hit (GEANT4)

AmBe: 2nd ADC hit (meas) 2nd hit (GEANT4)

Figure 7: Energy spectra acquired with AmBe source (spectra of the first and second ADC hits are shown) (solid lines). Both ADC hits of AmBe measure-ment are compared with corresponding GEANT4 simulations (crosses, dashed line)(see text for details).

4.3. Verification of neutron detection

448

An energy threshold of the NC has to be set such that most

449

of an intrinsic background is excluded but the registration

ef-450

ficiency for γ’s after the neutron capture is still high enough.

451

Hence, this value was chosen to be around 2.5 MeV in the

cen-452

ter of the detector. For the measurement of the neutron yield

453

due to untagged muons the energy threshold is set to an even

454

higher value of 3.5 MeV to further suppress accidental and

455

correlated background. In order to put a proper value of the

456

electronic threshold and to tune the gain of neutron PMT’s, a

457

60Co source was used first. Two gammas of 1173.2 keV and 458

1332.5 keV are emitted in more than 99.9% of decays giving

459

2506 keV of deposited energy when both gammas get fully

ab-460

sorbed in the NC volume. Once the PMT parameters and the

461

discriminator threshold were found with 60Co, a fine tuning

462

of the gain was done with the central LED. Then, an AmBe

463

source was used to verify the ability of the system to detect

464

neutrons. An advantage of this neutron source is that in 60%

465

of the cases the (α,n) reaction on Be leads to an excited12C∗ 466

state, which is then transfered to the ground state within 61 fs

467

by emitting a gamma of 4438 keV. This gamma is a perfect

468

trigger to start the acquisition window in order to look for a

469

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ACCEPTED MANUSCRIPT

following neutron capture signal. In this respect it nicely

re-470

sembles the primary trigger during a physics run and gives an

471

additional reference for the energy calibration. It is also to be

472

expected that some of the neutrons from AmBe source will first

473

produce a prompt recoil proton and only then be captured on

474

Gd. Thanks to the flash ADC used one can separately look

475

into an energy spectrum of the first hit and any following one

476

within the same event. As it can be seen from Fig. 7, the

pri-477

mary hits form predominantly a bell-shaped spectrum specific

478

to a prompt gamma while the secondary hits lead to a smoother

479

spectrum which extends to higher energies, as one expects for

480

partially escaping gammas appearing due to the neutron

cap-481

ture (see Sect. 3.2). The same behaviour is also confirmed in

482

GEANT4 simulations (toolkit version 9.2.p01) of AmBe source

483

where elastic scattering off hydrogen, carbon and gadolinium

484

nuclei, inelastic scattering on carbon, capture on gadolinium

485

and hydrogen nuclei and an energy quenching present for less

486

ionizing particles are taken into account (Fig.7, crosses). The

487

initial kinetic energy of neutrons is generated according to an

488

energy distribution of AmBe source. A simplified model with

489

a common fixed threshold and an energy resolution scaled as

490

∆E(E) = ∆E(4.4 MeV) × √E(MeV)/4.4 (MeV) is used in

491

the simulations, with a 2.8 MeV threshold and the energy

res-492

olution ∆E(4.4 MeV) = 700 keV as best fit. While the same

493

values of the threshold and the resolution are used in the

simu-494

lations to fit both measured ADC hits, the energy scaling of two

495

spectra differs by 7%. This is due to a position dependence of

496

the light collection and the fact that 4.4 MeV γ’s are absorbed

497

closer to the place of the AmBe source than neutron-capture

498

gammas. Although the light propagation is not yet taken into

499

account, a general good agreement between the measurement

500

and the simulations is obtained (Fig.7). Another verification

501

of neutron capture on Gd is possible with the timing

informa-502

tion, i.e. by looking into time intervals between the start of the

503

event and any following hit (Fig. 8). Neutrons of several MeV

504

need first to thermalize in the medium of the detector and only

505

then get captured following an exponential law with a

charac-506

teristic time, the capture time, depending on the Gd content of

507 Entries 248768 Mean 18473.1 RMS 12317.1 / ndf 2 χ 159.5 / 139 bckg 43.4 ± 11.9 const 5011.1 ± 78.4 capture τ 16587.6 ± 312.8 TDC #ch (ns) 0 10000 20000 30000 40000 50000 Events / 250 ns 0 500 1000 1500 2000 2500 Entries 248768 Mean 18473.1 RMS 12317.1 / ndf 2 χ 159.5 / 139 bckg 43.4 ± 11.9 const 5011.1 ± 78.4 capture τ 16587.6 ± 312.8 Entries 248768 Mean 18473.1 RMS 12317.1 / ndf 2 χ 159.5 / 139 bckg 43.4 ± 11.9 const 5011.1 ± 78.4 capture τ 16587.6 ± 312.8 ) capture τ exp( - t / ⋅ fit(t) = bckg + const

Figure 8: AmBe measurement: time difference between a start of the event

(first hit) and any following TDC hit within the acquisition time. The falling edge is fit with an exponential function and a flat background component.

Table 1: Capture time simulated in GEANT4 as a function of Gd content. In

order to extract τcapturethe same interval and binning as in the measured data

were used for fitting. No background is assumed.

Gd content, % 0.18 0.19 0.20 0.21 0.22

τcapture, ns 17800 17100 16290 15600 15000

∆τcapture, ns ±100 ±100 ±90 ±80 ±80

the used scintillator. Measured data (Fig. 8) confirm well this

508

description. Fitting the falling part of the spectrum and

consid-509

ering a flat background, one extracts τcapture = 16.6 ± 0.3 µs. 510

The same time constant is obtained in GEANT4 (Tab. 1) where

511

various values of the Gd content can be considered. The

simu-512

lated data are in good agreement with the measured τcaptureand 513

0.20% of Gd admixture specified by the manufacturer (Tab. 1).

514

For further comparison we use the mean time of the measured

515

distribution, htiAmBe= 18.5 µs, because it accounts also for the 516

effect of neutron moderation and can be easily used in case of

517

low statistics.

518

The calibration runs using the60Co and AmBe sources are 519

regularly executed in order to monitor the response of the

de-520

tector under well-defined circumstances.

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DAQ #nb of secondaries within T 0 1 2 3 4 5 6 7 8 Events -1 10 1 10 2 10 Poisson (calc) Measured =8.8= 3= 1 ∆ ∆= 1 Entries 24 Mean 16689 ± 2978 RMS 14588 ± 2106 TDC #ch (ns)0 10000 20000 30000 40000 50000 60000 Events / 2500 ns 0 1 2 3 4 5 6 7 8 Entries 24 Mean 16689 ± 2978 RMS 14588 ± 2106 Entries 24 Mean 16689 ± 2978 RMS 14588 ± 2106

Figure 9: First data from a physics run, events selected with the µVeto module on top of the NC and the muon PMT’s first: number of secondaries within one event vs. Poisson expectation (left) and the time intervals between first and any following TDC hit (right). Live time of both systems running together is 51 days.

DAQ #nb of secondaries within T 0 1 2 3 4 5 6 7 8 Events 1 10 2 10 3 10 4 10 5 10 6 10 Poisson (calc) Measured =57.2= 7= 1 ∆ ∆= 1= 1 Entries 91 Mean 18732 ± 1571 RMS 14988 ± 1111 TDC #ch (ns)0 10000 20000 30000 40000 50000 60000 Events / 2500 ns 0 2 4 6 8 10 12 14 16 18 Entries 91 Mean 18732 ± 1571 RMS 14988 ± 1111 Entries 91 Mean 18732 ± 1571 RMS 14988 ± 1111

Figure 10: Preliminary data from a physics run, only neutron counter selected events: number of secondaries within one event vs. Poisson expectation (left) and the time intervals between first and any following TDC hit (right). Live time of the NC for this data set is 56 days.

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ACCEPTED MANUSCRIPT

5. Preliminary physics data

522

As a proof-of-principle we show in the following a

prelim-523

inary analysis of physics runs. The muon-induced neutrons

524

can be identified by the following features as described before:

525

they produce multiple correlated hits within one event with

dis-526

tribution of time intervals similar to the one obtained for the

527

AmBe source (Fig. 8). The energy distribution of secondary

528

ADC hits extends to higher values, i.e. well above the

back-529

ground spectrum. In the first analysis, we identify a prompt

530

muon together with correlated secondary neutrons as to study

531

the neutron production by the well-tagged muons. The muon

532

candidates are defined by a coincidence of the µVeto module

533

on top of the neutron detector and the muon PMT’s. Then,

534

by using the time stamps of these events, a corresponding set

535

of NC data is selected. Fig. 9(left) shows the measured

num-536

ber of secondaries following a muon event and an expectation

537

of Poisson distributed background of accidental coincidences

538

based on the single hit rate. Only those secondaries are accepted

539

which are at least 200 ns apart from the primary hit and each

540

other, in order to avoid an effect of PMT afterpulses. As can

541

be seen, there is a clear excess of measured secondaries above

542

the background (∆-values on Fig. 9(left)). The corresponding

543

time distribution of these secondary hits (Fig. 9(right)) has a

544

mean value hti = 17 ± 3 µs, which is clearly different from

545

a central value of 29.8 µs specific for a random hit

distribu-546

tion within the DAQ window of 59.6 µs, and in agreement with

547

htiAmBe = 18.5 µs. Furthermore, we performed a Kolmogorov-548

Smirnov (KS) test on unbinned data of Fig. 8 and Fig. 9(right).

549

This yields prob.(KS)=0.1 showing consistency of both spectra

550

at a significance level of α=0.05. In overall, within the 51 live

551

days analysed here we identify 24 neutrons detected after the

552

muons with an accidental background expectation of 0.2. This

553

gives us a count rate of about 0.5 muon-induced neutrons per

554

day.

555

To search for neutrons produced due to untagged muons, we

556

look into neutron counter data only and multiple hit events.

557

This is possible if the neutron PMT’s are tuned in such a way

558

that the rate of accidental coincidences is well below an

ex-559

pected rate of muon-induced neutrons. To fulfill this

require-560

ment, half of the neutron PMT’s was set to a reduced gain.

561

Fig. 10 presents corresponding distributions of the number of

562

secondaries and of related time intervals. As in the first

analy-563

sis, the time cut of 200 ns is applied between consecutive hits.

564

As one can see, there is again a clear excess of measured data

565

above the Poisson-based expectation of the background (

∆-566

values on Fig. 10(left)). The mean value hti= 18.7 ± 1.7 µs is

567

also in good agreement with htiAmBe = 18.5 µs. As above, KS-568

test is applied on unbinned data of Fig. 8 and Fig. 10(right) and

569

results in prob.(KS)=0.3, denoting consistent spectral shapes at

570

a significance level α=0.05. The live time of this data set is

571

56 days. The data selection results in 75 events with

mini-572

mum one secondary produced, among which there are 10 events

573

with 2 or more secondaries detected. The expected accidental

574

background is 7.8 and contributes to events with only one

sec-575

ondary particle. First simulations show that correlated

back-576

ground from ambient neutrons contributes less than 10 events

577

and from the Bi-Po decay chain less than 1 event, both with 1

578

secondary only. The full sample was also checked for a

coin-579

cidence with the µVeto module on top of the neutron detector

580

and the muon PMT’s. Ten events with at least one secondary

581

could be attributed to a tagged muon. Thus, the excess shown

582

in Fig. 10(left) clearly indicates muon-induced neutrons

with-583

out requiring to detect the primary muon.

584

It is evident, that the first physics data show qualitatively the

585

ability of the system to register muon-induced neutrons while

586

a quantitative analysis of the production rate of these neutrons

587

requires longer time of running to gather larger statistics and

588

further detailed simulations to extract accurate detection e

ffi-589

ciencies.

590

6. Conclusion and outlook

591

A neutron detection system based on 1 m3of Gd-loaded scin-592

tillator has been described. The purpose of this dedicated

in-593

strument is to measure specifically the muon-induced neutron

594

background in the environment of present and planned dark

595

matter experiments, e.g. EDELWEISS-II and EURECA, hosted

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ACCEPTED MANUSCRIPT

by the LSM underground laboratory. This background is of

597

concern for the DM searches and thus the neutron detector is

598

in-locationof the DM setups. The NC system was installed in

599

fall 2008 and, as the calibration and first physics runs show, it

600

is fully operational. The aim of the measurement is to detect, in

601

particular, the neutron yield in Pb both with or without tagging

602

the primary muons. More detailed and accurate Monte-Carlo

603

simulations taking into account all the aspects, e.g. the muon

604

interaction, the neutron production, a light propagation, are

un-605

der further development. The preliminary analysis of physics

606

data show that the count rate of muon-induced neutrons in the

607

order of 1 neutron/day has been achieved. Data-taking will

con-608

tinue through 2010 and early 2011 to get sufficiently large

sta-609

tistics.

610

Acknowledgments

611

The help of the technical staff of the Karlsruhe Institute of

612

Technology, N. Bechtold, A. Felden, S. Jokisch and G.

Pro-613

kott, and of the Laboratoire Souterrain de Modane is gratefully

614

acknowledged. This work is in part supported by the German

615

Research Foundation (DFG) through the Transregional

Collab-616

orative Research Center SFB-TR27 as well as by the EU

con-617

tract RII3-CT-2004-506222 and the Russian Foundation for

Ba-618

sic Research (grant No. 07-02-00355-a).

619

References

620

References

621

[1] E. Armengaud et al., in preparation; V.Yu. Kozlov for the

EDEL-622

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HEP 2009) 091 (http://pos.sissa.it); V. Sanglard for the EDELWEISS

624

Collaboration, TAUP09, Rome, Italy, 2009, arXiv:0912.1196v1

[astro-625

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626

[2] E. Armengaud et al., Phys. Lett. B 687, (2010) 294; arXiv:0912.0805v1

627

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628

[3] H. Kraus et al., Nucl. Phys. B (Proc. Suppl.) 173, (2007) 168.

629

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in; arXiv:0905.0753v1 [astro-ph.IM].

631

[5] A. Chantelauze, Investigation of the muon-induced background of the

632

EDELWEISS-II experiment, Ph.D. thesis, Universit´e Blaise Pascal,

633

Clermont-Ferrand, 2009.

634

[6] V.A. Kudryavtsev et al., Nucl. Instrum. Meth. A 505, (2003) 688.

635

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Figure

Figure 1: Relative contribution of individual processes to the total neutron pro- pro-duction yield as a function of the muon energy in C n H 2n , GEANT4 simulations.
Figure 3: Left: general layout of the neutron counter detector, positions of LED’s are indicated by stars
Figure 4: General layout of the VME-based data acquisition, see Sect. 3.3 for details.
Figure 6: Energy deposition measured with the muon PMT’s of NC for the events in coincidence with the µVeto module on top of the NC, live time is 177.9 days
+3

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