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P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 43 Production Production of of ultracold ultracold neutrons neutrons The Mini-D 2 UCN-source Andreas Frei Physik-Department E18 - TU-München MLL-Kolloquium (10 Feb. 2005) l Basic ideas of Mini-D 2 l Deuterium as UCN converter l The TRIGA-Mainz test setup l Status of the project l First results of experiments

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Page 1: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 43

Production Production of of ultracold ultracold neutronsneutrons

The Mini-D2 UCN-sourceAndreas Frei

Physik-Department E18 - TU-MünchenMLL-Kolloquium (10 Feb. 2005)

l Basic ideas of Mini-D2

l Deuterium as UCN converterl The TRIGA-Mainz test setupl Status of the projectl First results of experiments

Page 2: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 44

How are How are UCN UCN producedproduced??By downscattering of higher-energy neutrons

fission thermalcold

UCN

We need a moderator material

• high inelastic scattering cross section

• low absorption cross section

• very low temperature ( no heating )

Page 3: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 45

MiniMini--DD22 ((schemescheme))

Page 4: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 46

MiniMini--DD22 at SR4at SR4

Cold source

SR4 beam tubeIn-pile cryostat

UCN-storage tube

UCN storage tube equilibrium :• absorbtion and up-scattering

in the converter• losses wall collisions• decay• escape through holes

UCN storage tube equilibrium :• absorbtion and up-scattering

in the converter• losses wall collisions• decay• escape through holes

Page 5: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 47

The converterThe converter

Solid D2converter

In-pile cryostat300 K cooling channels

UCN-storage tube

5 K cooling ch.

25 K cooling ch.

Materials• Solid D2

• Al6061• Zirkaloy-4

Page 6: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 48

TUM - UCN density versus temperature of the second moderator (‘converter’)

Mike Pendlebury University of Sussex

Page 7: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 49

The solid (ortho) D2 up-scattering cross-section versus temperature

Mike Pendlebury University of Sussex

Page 8: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (A.Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 50

Safety aspectsSafety aspects1. Reactor is source of high neutron and gamma flux

2. UCN device will be located inside the biological shield of FRM-II

3. Deuterium is a dangerous (explosive) material

4. Other experimental facilities are planned to work on FRM-II

We must guarantee

low level ofradiation dose

Decouplingof UCN from FRM-IIDouble-wall

concept of barriers

Page 9: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (A.Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 51

Floorplan Floorplan at at the the FRMFRM--IIII

1.8 m

EDM EDMLT LT

Page 10: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (A.Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 52

Problems Problems related with the use related with the use of solid Dof solid D22

Goal: Prevent additional absorption of neutrons

• Deuterium has to be sufficiently cleanH < 10-4 and N2 < 10-5 atomic concentration

• Small percentage of para-D2(high up-scattering cross section – heating )

Xpara < 5*10 -3

• Thermal conductivity of solid D2(good cooling system)

The p-D2 concentration has to be kept below1% to get the highest thermal conductivity of ortho-deuterium.

As, above 4 K, the thermal conductivity of ortho-D2 decreases drastically with temperature, good cooling of the converter is very important (cold finger).

Temperature dependence of the thermal conductivity of solid deuterium for various ortho/ para compositions.

Page 11: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (A.Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 53

Para Para and and Ortho deuteriumOrtho deuteriumNatural D2 is a mixture of two possible compounds, having different nuclear spin S and orbital angular momentum J:

• Ortho-D2: S=0,2 ; J=even (0,2,...)

• Para-D2: S=1 ; J=odd (1,3,...)

• Room Temperature: D2 is mixture of 1/3-para, 2/3-ortho

• Energy difference of first para to ortho state (J=1 -> J=0) is approximately 7meV

• Inelastic scattering of UCN with para-molecules leads to high energy transfer to the UCN, which means that this neutron is no longer ultracold (upscattering)

Page 12: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (A.Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 54

Conversion Conversion pDpD22 --> oD> oD22

l Not possible for isolated molecules! (Transition ∆J=1 and S=1 -> S=0,2)

l Induced by an inhomogeneous magnetic field.

l Self conversion:

Interaction with the dipol or rotational magnetic moment of a neighbouringmolecule:

Conversion rate:

l Induced by magnetic centres : (Fe(OH)3, O2, Ag)

Reduction of the conversion time from months to hours.

Nrot

NDµµµµ

4429.08574.0

==

1)%003.0060.0( −±= hK

( ))( BO µµ =

2,

2rotDD µµ ⋅∝

Page 13: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (A.Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 55

The ColdheadThe Coldhead

Silver coated conversion volume

Cold fingerD2 inlet

Page 14: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (A.Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 56

Raman spectroscopyRaman spectroscopy- inelastic scattering of photons with molecules

- molecules get stimulated to a higher energy state(rotational or vibrational energy)

- frequence of incoming light is shifted to certain levels

- spectral analysis can detect this shifted frequencies

Our special case:

The integral over two peaks in the spectrum build a ratiobetween para and ortho deuterium

Page 15: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (A.Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 57

Raman resultsRaman results

Page 16: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (A.Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 58

Conversion by radiationConversion by radiationMeasued influence of the γ irradiation on the Ortho

deuterium content

before irradiation(09.12.04)

time [hs]

Orth

o de

uter

ium

Measured point

(19.01.05)

Cortho(t)=0.985-0.084exp(-0.0012t)

Expected point

γ ??

Page 17: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (A.Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 59

OrthoOrtho--ParaPara--ReconversionReconversion

Ortho to Para "Re-conversion" rate in deuterium

0.780

0.800

0.820

0.840

0.860

0.880

0.900

-30 -20 -10 0 10 20 30 40 50 60 70

time [hs]

Ort

ho D

eute

rium

Munich 19.30h (10.12)

Munich 15.30h (11.12)

Munich 15.30h (13.12)

Mainz 14.30h (09.12)

Cortho= 0.863e-0.0012t

Page 18: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (K. Eberhardt) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 60

TTRRII

GGAA

rainingrainingesearchesearchsotopessotopeseneraleneraltomicstomics

Mark IIat Mainz

power: (steady)

(pulse mode)

100 kWth

250 MWth

Page 19: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (K. Eberhardt) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 61

Aufbau TRIGA Mainz

45° 40°

Chemie

Chemie Neutronen - Spin - Filter

Ultrakalte Neutronen

D C

A

B

Kern

Reaktor-tank

ThermischeSäule (Grafit)

45° 50°

Reflektor(Grafit)

Wasser

BNCT

Strahlrohre: Schnelle Rohrpost (Förderzeiten 0.5 s)

Gas-Jet Transportsystem (U, Pu, Cf-Target)Strahlrohre: Schnelle Rohrpost (Förderzeiten 0.5 s)

Gas-Jet Transportsystem (U, Pu, Cf-Target)

KarussellTher

m. Säule

Reflektor

Rohrpost 1-3

Page 20: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (K. Eberhardt) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 62

Pulsbetrieb

Für 2 $-Puls gilt: Akt.Puls/Akt.Sätt. = 55 s/T1/2[s]Für 2 $-Puls gilt: Akt.Puls/Akt.Sätt. = 55 s/T1/2[s]

Startsignal Pulsstab

0 ms 800 ms

250 MW (Pmax.)30 ms (FWHM)1015 n/cm2

50 W

160 MW (Pmax.)40 ms (FWHM)

70 MW (Pmax.)65 ms (FWHM)

2 $

1.75 $

1.5 $

• Erzeugung kurzlebiger Nuklide für die NAA• Herstellung kurzlebiger Spaltprodukte

→ Interferenzen durch längerlebige Nuklide werden unterdrückt

• Messung von Aufenthaltsdauern in chem. Trennapparaturen

Page 21: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (A.Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 63

The The TRIGA Mainz TRIGA Mainz setupsetup

Reactor channelNeutronvalve

UCN guide tubeDeuterium converterin in-pile cryostat

Neutron storage volume

Test cryostat

Reactor channelNeutronvalve

UCN guide tubeDeuterium converterin in-pile cryostat

Neutron storage volume

Test cryostat

pulsedneutrons

~ 1 UCN/cm3

Page 22: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (A.Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 64

TRIGA TRIGA setup flowschemesetup flowscheme

Page 23: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (A.Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 65

Testcryostat Testcryostat in in realityreality

Page 24: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (A.Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 66

The The DD22 gas systemgas systemFunctions

• Produce a vacuum in the system and in the testcryostat

• Store deuterium at low temperature (solid) or in gasous state (300 l)

• Check the purity with a mass spectrometer

• Convert p-D2 to o-D2

• Software control system

Page 25: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (A.Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 67

Gas system in Gas system in realityreality

Page 26: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (A.Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 68

Controlling Controlling with redundancywith redundancy

Devices like- valves- sensors- vacuum pumps- flowmeter- heater- mass spectrometer

Simatic S7-400SPS-Unit

I/O-modules

Memory

internal CPU

PC withWinCC unit(controlling surface)

PC withSimatic Manager(programming surface)

Page 27: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (A.Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 69

Heating phenomenaHeating phenomena

Ortho-Para Deuterium conversion

TRIGAHot spot

ΔT ~ 6 KK

• Pulse (30 msec) ~10.3 W/cm3

• Time between pulses 10 min.

• Solid D2 ~ 0.14 W/cm3

• Al6061 ~ 1.8 W/cm3

Steady (FRM-II) Pulsed (TRIGA)

Time [s]

T [K

]

Page 28: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (A.Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 70

The christmas shotThe christmas shot

• First try of UCN production in Mainz: 22.12.2004

• Several problems occured:

• UCN-Detectors were broken after transport to Mainz

• High radiation background measured

• Temperature oscillations in He-cooling

=> New detectors have to be installed

⇒ Detectors have to be shielded against background

⇒ He-cooling oscillations have to be reduced

Page 29: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (A.Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 71

HeHe--cooling oscillationscooling oscillations

Page 30: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (A.Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 72

Problems Problems with with HeHe--coolingcooling

• Big amplitude of oscillations leads to big oscillations in vapor pressure (0.001mbar to 1mbar)

• More UCN losses due to absorption and inelastic scattering

• Currently the source of the bigger oscillation amplitude not fully understood

• Further investigations are necessary

Page 31: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (A.Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 73

Problems Problems with backgroundwith background

Unshielded detector

Page 32: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (A.Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 74

Background Background problemsproblems

Shielded detector

Page 33: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (A.Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 75

Outcome Outcome of of christmas shotchristmas shot

Results:

• Gas system works fine

• Sufficient cooling (no melting of deuterium)

• Control and steering system is functional

• Shielding of detector has to be improved

• He-cooling problems have to be solved

Page 34: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort (A.Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 76

OutlookOutlook

• Newest measurements (PSI group) indicate, that conversion of neutrons with a deuterium converter corresponds with the calculated values

• The TRIGA experiment can also proof this calculations and can extend them to the case of a pulsed reactor

• Combining these results with a high neutron flux reactor as the FRM-II shows, that Mini-D2 can be a new powerful UCN-source

Page 35: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 77

8.9 A neutrons are needed to create UCN in 4He

Mike Pendlebury University of Sussex

Page 36: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 78

A dedicated UCN source for cryoEDM at ILL

Page 37: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 79

A CAD overview of the

apparatus as now planned for the ILL.

On the right is Cooling Tower II, which supplies superfluid LHe to the entire neutron volume, over Phase I of the new cryostat construction. On the left are the large magnetic shields surround the Ramsey cell, behind which is Cooling Tower I which supplies the cooling power to the shields. Next to Tower I is Phase II of the cryostat, which contains the UCN transfer section and the vertical detector section. Between the shields and Phase II is the 6-way cryogenic section needed for access and construction and in which we will mount the SQUIDs

cryoEDM apparatus as planned for the ILL

Page 38: Production of ultracold neutrons - KEKfnp.kek.jp/Japanese/workshop/20050317/webpdf/geltenbort1.pdf · P. Geltenbort (A. Frei) Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18

P. Geltenbort Workshop "Physics with Spallation UCN" RCNP Osaka, 17-18 March 2005 80

Calculating the UCN density in the super-fluid 4He

The UCN production rate per unit volume = (4.55 ±0.25) x10−8 (dΦ/dλ) at 8.9 Å.

C. A. Baker et al, NIM A, 308 (2003) 67.

Thus, for (dΦ/dλ) at 8.9 Å = 2.5 x10+8 /cm2/s/Å,

the production rate in the superfluid is 11 UCN/cm3/s.

If the UCN mean survival time in the super-fluid is 150 s,

then, after having the cold beam on for 150 s,

the UCN density will be 11 x 150 x (1− e−1) = 1080 /cm3

Mike Pendlebury University of Sussex