ultracold neutron project - 大阪大学...¥ connection to low quantum gravity scale ideas g. dvali...

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Ultracold neutron project Member: Y. Masuda, S. Jeong, Y. Watanabe, A. Yamamoto and T. Adachi (KEK) K. Hatanaka, K. Matsuta, R. Matsumiya (Osaka) T. Kitagaki (Tohoku) T. Sanuki (Tokyo) T. Ito (Los Alamos) Feb. 20, 2007, RCNP

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Page 1: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

Ultracold neutron project

Member:Y. Masuda, S. Jeong, Y. Watanabe, A. Yamamoto

and T. Adachi (KEK)K. Hatanaka, K. Matsuta, R. Matsumiya (Osaka)

T. Kitagaki (Tohoku)T. Sanuki (Tokyo)T. Ito (Los Alamos)

Feb. 20, 2007, RCNP

Page 2: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

Neutron confinement

Spole

Npole

! !"#$$"Å

%&'()*+,"-./,)01$"()2345

6/&7+*89$$"()23:

;*.:<"+(":&*)/+&=

>*/.('"??#"()2"0#@A+5

NS

)

BC)&D

"

E=*/&,.=F"()G*/.(

(UCN)

Page 3: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

UCN physicsNeutron is a fundamental element in the universe

Creation of matter and nucleosynthesisin the universe can be studied

via experiments on1. EDM: CP violation2. N-Nbar oscillation

3. n beta decay: lifetime and asymmetry4. gravity

5. neutron target

Page 4: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

Big bang

Cosmicmicro wavebackground

B = 0 Baryon asymmetry

1015 GeV ~ 100 GeVCreation of matter

T. Soldner and D. Dubbers

Page 5: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

Sakharov’s condition

Baryon number violation

Departure from thermal equilibrium

CP violation and C violation

Page 6: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

No antimatter is observedDiffuse γ-ray fluxexpected from annihilation

Cohen, De Rujula, Glashow;astro-ph/9707087Diffuse γ flux from

annihilation at domain boundaryAstrophysical J. 495(1998)539

domain diameter 20Mpc

1000Mpc

galaxy

universe

Page 7: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

Extension of standard model

Baryon asymmetry: (NB - NantiB)/Nγ ~ 10-10,

but 10-25 in standard model

SUSYExplain the baryon asymmetry of 10-10

Solve hierarchy problemInclude quantum gravity

Page 8: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

EDM in SUSYγ

qL qR

qL~qR~

~g

qL*(mqAqexp(iφAq))qR + h.c.~ ~soft-SUSY-breaking

mass term

mgexp(iφg)~ ~

dq = eQ(αs/18π)mqAq/mg3sin(φAq-φg) f~

dn ~ εq×(2.4×10-24 e·cm), εq~sin(φAq-φg)~

[ Weinburg 1989: 1. EDM operator of dnψγ5σμνψFμν, 2. dimensional analysis (Manohar and Georgi 1984), 3. renormalization factor ]

Barr 1993, Fortson, Sanders, Barr 2003

~

Page 9: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

EDM

10-19cm

1950 60 70 80 90 2000 year

10-21

10-23

10-25

10-27

Experiment

Theory

Page 10: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

EDM measurement

Electricfield

n spin

Magnetic field

Comagnetometer3He spin

and SQUID

H = - (μH + dnE)dynamical phase is measuredby means of a polarimetry

Page 11: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

Ramsey resonance

y

z

Rotating fieldH1·x·cosωtr + H1·y·sinωtr

ω = ω0

H0

3He

n spin(ω0 = γH0)

x

φ = π + γΔH0t + (ω-ω0)t + θ

cosφ

+ ΔH0

γH1tr = π/2H1

π/2 π/2

H1 rotations and Larmor precession

are coherent

Phys. Lett. A in press, available online 8 Dec. 2006

Page 12: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

Results for φ = π + (ω - ω0)t

0.1 1-0.6

-0.5

-0.4

-0.3

-0.2

-0.1

0.0

0.1

0.2

0.3

0.4

0.5

(!0-!)/" = 0.66 ± 0.02

!#"$%$20 Gauss

T

on/T

off -

1

Neutron Energy (eV)

RR as a function of as a function of && !!

0.1 1-0.6

-0.5

-0.4

-0.3

-0.2

-0.1

0.0

0.1

0.2

0.3

0.4

0.5

(!"-!)/# = 0.188 ± 0.01 G

!$#%&%20.5 Gauss

T

on/T

off -

1

Neutron Energy (eV)

0.1 1-0.6

-0.5

-0.4

-0.3

-0.2

-0.1

0.0

0.1

0.2

0.3

0.4

0.5

(!0-!)/" = 0.077 ± 0.018 G

!#"$%$20.7 Gauss

T

on/T

off -

1

Neutron Energy (eV)

n polarizing and analyzing power,

(ω-ω0)tat resonance

Eh80 meV

El23.6 meV

Page 13: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

φ = π + ϒΔH0tSmall solenoid ON 30 GaussSmall solenoid ON 30 Gauss

0.1 1-0.6

-0.5

-0.4

-0.3

-0.2

-0.1

0.0

0.1

0.2

0.3

0.4

0.5

T

on/T

off -

1

Neutron Energy (eV)

Hs = 33.37 ± 0.05 G

x = 0.0574 ± 0.0001 m

(!"# = 20.7 Gauss)

arises fromadditional field

Page 14: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

EDM with UCNUCN can be confined in a bottle

long precession time in E

exp(-idnE/h·t)

E

exp(-iμH0/h·t)

pick up of 3He precessionwith SQUID

∂H0/∂z < 1 nT/mat H0 = 1 μT H0

magnetometer

Page 15: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

Precision EDM measurement

δdn = h/{2Etc√mN}tc: coherent time, N: number of n in EDM cell

m: number of measurementδdn ~ 10-28 cm: SUSY, Multi-Higgs, Left-Right

E = 50 kV/cm, tc = 130 s, ρ = 300 UCN/cm3 in 8L

Comagnetometer for leakage current effectHomogeneous field

Page 16: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

N-Nbar

Baryon asymmetry

If EW phase transition is 2nd order,

∆B - L ≠ 0 at grand unified scale, Kuzmin, Phys.Lett. (1985)

N-Nbar: ∆B =2, ∆L = 0

Nucleon decay: ∆B =1, ∆L = 1, ∆B - L = 0

Page 17: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

Some Some !!(B(B""L)L)##0 nucleon decay modes (PDG0 nucleon decay modes (PDG’’04)04)

Soudan-II’024/4.5>7.2$1031 yr

SNO’04686.8/656>1.9$1029 yr

Borexino’03> 4.9$1025 yr

IMB’99100/145>7.9$1031 yr

IMB’995/7.5>2.57$1032 yr

Fréjus’917/11.23>2.1$1031 yr

IMB’99152/153.7>1.7$1031 yr

Experiment’yearS/BLimit at 90% CL(B"L)#0 modes

+!!" ep

+!!µ"p

!"#+een

!µµ"#+

n

!!!"n

nn!

e.g. for with a lifetime >1.7$1031 yr

Super-K should detect ~ 430 events/yr

+!!" ep

!!"nn

limithighest with mode !"#+een

limitlowest with mode 1B !="###$n

potential futurehighest with mode nn!

limitlowest with mode 2B !="##$nn

?

Page 18: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

•• Connection to low quantum gravity scale ideas Connection to low quantum gravity scale ideas

G. G. Dvali Dvali and G. and G. GabadadzeGabadadze, PLB 460 (1999) 47, PLB 460 (1999) 47

S. S. Nussinov Nussinov and R. and R. ShrockShrock, PRL 88 (2002) 171601, PRL 88 (2002) 171601

C. Bambi et al., hep-ph/0606321C. Bambi et al., hep-ph/0606321

•• Baryogenesis models at low-energy scale Baryogenesis models at low-energy scale

A. A. DolgovDolgov et al., hep-ph/0605263 et al., hep-ph/0605263

K. K. BabuBabu et al., hep-ph/0606144 et al., hep-ph/0606144

Theories with n! n , no B-L=0 nucleon decay

•• Connection with neutrino mass physics via seesaw mechanism Connection with neutrino mass physics via seesaw mechanism

K. K. Babu Babu and R. and R. MohapatraMohapatra, PLB 518 (2001) 269, PLB 518 (2001) 269

B. B. DuttaDutta, Y. Mimura, R. , Y. Mimura, R. MohapatraMohapatra, PRL 96 (2006) 061801, PRL 96 (2006) 061801

τN-Nbar 109 ~ 1010 s

Page 19: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

Neutron-Antineutron Oscillations: FormalismNeutron-Antineutron Oscillations: Formalism

! =n

n

"

#$%

&' mixed n-nbar QM state

H =En

(

( En

"

#$%

&' Hamiltonian of the system

En= m

n+

p2

2mn

+Un ; E

n= m

n+

p2

2mn

+Un

Important assumptions :

• ( n) n( ) = ( n) n( ) = ( (i.e. T-invariance)

• mn= m

n (CPT not violated)

• magnetic moment µ n( ) = *µ n( ) as follows from CPT

!-mixing amplitude

(α/h)2/[(α/h)2 + ω2/4]·sin[(α/h)2 + ω2/4]1/2t

Page 20: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

Possible apparatus for the“neutrons in the bottle” experiment

CalorimeterMuon

veto

Pressure vessel,

magnetic shield

Tracker

Neutron reflector

Typical n-nbar event:

Evis ~ 1.5 GeV

Npions ~ 5

Epion ~ .3 GeV

Neutron guide

n

n

τN-Nbar: 1010 sat 1.3x108 UCN/s

Page 21: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

Neutron β decayLifetime

Nucleosynthesis at big bang: 4He abundance etc.

p-p chain: p + p → D + e+ + νe (n → p + e- + νe)

Asymmetry + lifetime

GV and GA

Unitarity: GV = GF·Vud 

Vud2 + Vus2 + Vub2 = 1

Page 22: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

GV and GA.980

.970

1.270 1.280

.975V ud

λ (GA/GV)

τn world average

τn Serebrov 2005

unitarity0+ → 0+

asym

met

ry

asym

met

ryPe

rkeo

Page 23: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

n lifetime

τn = 878.5 ± 0.8 sSerebrov et. al,

Phys.Lett.B605(2005)7290

cm

τn = 885.7 ± 0.8 sPDG

7σdifference

Ec = 90 neV

Page 24: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

τn in a magnetic bottleδτn/τn ≤ 10-4

+V

e sweeper

magnetic potential

UCN filling

no wall loss negligible Majorana

transition

solenoidvalve x

yr

Page 25: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

τn in a magnetic bottleδτn/τn ≤ 10-4

+V

e sweeper

magnetic potential

no wall loss negligible Majorana

transitionx

yr

Measuredecay of β count

β counter

β counter

e-

n

Page 26: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

β asymmetryPERKEO

Page 27: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

Asymmetry measurement

δA/A < 10-3

ina gravitational trap with a

vertical solenoid

Segmented β counter

n spin

UCNspin flipper

spin filterdipole or quadrupol

UCN monitor counter

1 kG

solen

oid

hole forUCN

e-

e- back scattering correctiontiming of e- counts

W(θ) ∝ 1 + v/c·A·Pn·cosθ

Page 28: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

Gravity

V(r) = -Gmimj/r·(1 + α·e-r/λ)

Abele et al., 2003

Gauge fields in extra dimension mediate repulsive force 106

˜108 times stronger than gravity at

submillimater distance.Arkani et al., 1999

Newtonian gravity is valid at

submillimater distance?

Page 29: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601
Page 30: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

Required UCN density 1

n lifetime

885.7±0.8 s (PDG) ↔ 878±0.7±0.3 s (Serebrov et al.)

For 10-4 measurement: 50 UCN/cm3

n β decay asymmetry

Test of CKM unitarity,

Vud with 10-3: 16 UCN/cm3 at τs = 2.6 s

Page 31: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

continued

n EDM

δdn ~ 10-28 cm: SUSY, Multi-Higgs, Left-RightE = 50 kV/cm, τc = 130 s, ρ = 300 UCN/cm3

n-nbar oscillation

> 8.8x107 s cold n beam (1994), > 1.2x108 s Fréjus (1990), > 1.2x108 s Kamioka (1986)

109~1010 s SUSY with ν mass and See-Saw model

1.3x108 UCN/s (5x105 UCN/cm3 in 40 liter) → 1010 s

Page 32: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

Liq.He

19KD2O

He-II

3 Hecryostat

SRD220

To 3Hepump

UCN guide

UCNdetector

Spallation target

300KD2O

Graphite

Heater

1.25m

3 m

Shield of1 m iron

0.5 m concrete

UCNvalve

p

n

phononUCN

open

annulardisk

closeOur UCN source

ρucn

1/4·ρucnvS

Page 33: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

World comparisonSource type Ec and τs

UCN densityρUCN(UCN/cm3)

Ours vertical100 W proton

0.96K He-IIin D2O

Ec = 90 neVτs = 30 s 10 in experiment

Grenoble60MW reactor Turbine Ec = 335 neV 50 in source

Munich20MW reactor SD2 Ec = 250 neV 104 in source

North Carolina1 MW reactor SD2 Ec = 335 neV 1300 in source

PSI 12 kW proton SD2Ec = 250 neVτs = 888 s 2000 in source

Los Alamos2.4 kW proton SD2

Ec = 250 neVτs = 2.6 s 120 in source

SNScold neutron beam 0.3K He-II Ec = 134 neV

τs = 500 s 430 in He-II

Page 34: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

World comparisonSource type Ec and τs

UCN densityρUCN(UCN/cm3)

Ours vertical100 W proton

0.96K He-IIin D2O

Ec = 90 neVτs = 30 s 10 in experiment

Grenoble60MW reactor Turbine Ec = 100 neV 2~3 in experiment

Munich20MW reactor SD2 Ec = 250 neV 104 in source

North Carolina1 MW reactor SD2 Ec = 335 neV 1300 in source

PSI 12 kW proton SD2Ec = 250 neVτs = 888 s 2000 in source

Los Alamos2.4 kW proton SD2

Ec = 250 neVτs = 2.6 s 120 in source

SNScold neutron beam 0.3K He-II Ec = 134 neV

τs = 500 s 430 in He-II

Page 35: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

Horizontal cryostatp beam power EpxIp : x5

effective He-II volume : x2extraction : x2

storage time τs : x5

Page 36: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

World comparisonSource type Ec and τs

UCN densityρUCN(UCN/cm3)

Ours horizontal500 W proton

0.6K He-IIin D2O

Ec = 90 neVτs = 150 s

1000 in experiment

Grenoble60MW reactor 0.5K He-II Ec = 250 neV

τs = 150 s 1000 in He-II

Munich20MW reactor SD2 Ec = 250 neV 104 in source

North Carolina1 MW reactor SD2 Ec = 335 neV 1300 in source

PSI 12 kW proton SD2Ec = 250 neVτs = 888 s 2000 in source

Los Alamos2.4 kW proton SD2

Ec = 250 neVτs = 2.6 s 120 in source

SNScold neutron beam 0.3K He-II Ec = 134 neV

τs = 500 s 430 in He-II

Page 37: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

World comparisonSource type Ec and τs

UCN densityρUCN(UCN/cm3)

Ours horizontal500 W proton

0.6K He-IIin D2O

Ec = 90 neVτs = 150 s

1000 in experiment

Grenoble60MW reactor 0.5K He-II Ec = 90 neV

τs = 150 s 216 in He-II

Munich20MW reactor SD2 Ec = 90 neV 2160 in source

North Carolina1 MW reactor SD2 Ec = 90 neV 181 in source

PSI 12 kW proton SD2Ec = 90 neVτs = 888 s 432 in source

Los Alamos2.4 kW proton SD2

Ec = 90 neVτs = 2.6 s 26 in source

SNScold neutron beam 0.3K He-II Ec = 90 neV

τs = 150 s 71 in He-II

Page 38: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

World comparisonSource type Ec and τs

UCN densityρUCN(UCN/cm3)

Our future12.5 kW proton

0.6K He-IIin D2

Ec = 210 neVτs = 150 s

7x105 in experiment

Grenoble60MW reactor 0.5K He-II Ec = 250 neV

τs = 150 s 1000 in He-II

Munich20MW reactor SD2 Ec = 250 neV 104 in source

North Carolina1 MW reactor SD2 Ec = 335 neV 1300 in source

PSI 12 kW proton SD2Ec = 250 neVτs = 888 s 2000 in source

Los Alamos2.4 kW proton SD2

Ec = 250 neVτs = 2.6 s 120 in source

SNScold neutron beam 0.3K He-II Ec = 134 neV

τs = 500 s 430 in He-II

Page 39: Ultracold neutron project - 大阪大学...¥ Connection to low quantum gravity scale ideas G. Dvali and G. Gabadadze, PLB 460 (1999) 47 S. Nussinov and R. Shrock, PRL 88 (2002) 171601

He-II or SD2

He-II D2

production rate σcoh = 0.76 b σcoh = 2.48 b

τa = 1/(ρvσa) ∞ 0.2 s

operating temperature < 1 K 5 K

mean free path >> 1 m several cm

structure almost vacuum dislocation, defect

heat conduction excellent, no local heating local heating

Fermi potential negligibly small 109 neV