SLIDE 1 A Path to a 0.1s Neutron Lifetime Measurement Using the Beam Method
Tulane University
SLIDE 2
The beam neutron lifetime method
neutron decay rate: Γ = − dN dt = N τ
SLIDE 3
The beam neutron lifetime method
neutron decay rate: Γ = − dN dt = N τ neutrons in detection volume :
Vdet
N = ρnVdet = φ v ⎛ ⎝ ⎜ ⎞ ⎠ ⎟ Abeam Ldet
SLIDE 4
The beam neutron lifetime method
neutron decay rate: Γ = − dN dt = N τ neutrons in detection volume :
Vdet
N = ρnVdet = φ v ⎛ ⎝ ⎜ ⎞ ⎠ ⎟ Abeam Ldet
neutron lifetime:
τ = Abeam Ldet Γ φ v ⎛ ⎝ ⎜ ⎞ ⎠ ⎟
SLIDE 5
for a “white” neutron beam:
τ = Abeam Ldet Γ φ(v) v
∫
dv
SLIDE 6 for a “white” neutron beam:
τ = Abeam Ldet Γ φ(v) v
∫
dv
neutron absorption cross section in thin “1/v” counter:
σ abs = σ th vth v
vth =
2200 m/s reference thermal neutron velocity
SLIDE 7 for a “white” neutron beam:
τ = Abeam Ldet Γ φ(v) v
∫
dv
neutron count rate:
Rn = εthAbeamvth φ(v) v
∫
dv
neutron absorption cross section in thin “1/v” counter:
σ abs = σ th vth v
vth =
2200 m/s reference thermal neutron velocity
SLIDE 8 for a “white” neutron beam:
τ = Abeam Ldet Γ φ(v) v
∫
dv
neutron count rate:
Rn = εthAbeamvth φ(v) v
∫
dv
neutron absorption cross section in thin “1/v” counter:
σ abs = σ th vth v
vth =
2200 m/s reference thermal neutron velocity
SLIDE 9 for a “white” neutron beam:
τ = Abeam Ldet Γ φ(v) v
∫
dv
neutron count rate:
Rn = εthAbeamvth φ(v) v
∫
dv
neutron absorption cross section in thin “1/v” counter:
σ abs = σ th vth v
vth =
2200 m/s reference thermal neutron velocity
SLIDE 10 for a “white” neutron beam:
τ = Abeam Ldet Γ φ(v) v
∫
dv
charged particle count rate:
Rp = ε pΓ
neutron count rate:
Rn = εthAbeamvth φ(v) v
∫
dv
neutron absorption cross section in thin “1/v” counter:
σ abs = σ th vth v
vth =
2200 m/s reference thermal neutron velocity
SLIDE 11 for a “white” neutron beam:
τ = Abeam Ldet Γ φ(v) v
∫
dv
charged particle count rate:
Rp = ε pΓ
neutron count rate:
Rn = εthAbeamvth φ(v) v
∫
dv
neutron absorption cross section in thin “1/v” counter:
σ abs = σ th vth v
τ = Rnε pLdet Rpεthvth
vth =
2200 m/s reference thermal neutron velocity
SLIDE 12 for a “white” neutron beam:
τ = Abeam Ldet Γ φ(v) v
∫
dv
charged particle count rate:
Rp = ε pΓ
neutron count rate:
Rn = εthAbeamvth φ(v) v
∫
dv
neutron absorption cross section in thin “1/v” counter:
σ abs = σ th vth v
vth =
2200 m/s reference thermal neutron velocity
τ = Rnε pLdet Rpεthvth
most challenging
SLIDE 13 1400 1300 1200 1100 1000 900 800 700 neutron lifetime (s) 2010 2000 1990 1980 1970 1960 1950 year
neutron lifetime results current
beam method UCN bottle magnetic trap
SLIDE 14 900 895 890 885 880 875 870 neutron lifetime (s) 2010 2005 2000 1995 1990 year
neutron lifetime results since 1990
recent revisions
beam method UCN bottle
SLIDE 15 900 895 890 885 880 875 870 neutron lifetime (s) 2010 2005 2000 1995 1990 year
neutron lifetime results since 1990
τn = 880.0 ± 0.6 s χν
2 = 14.0/6 (3%)
beam method UCN bottle
SLIDE 16 900 895 890 885 880 875 870 neutron lifetime (s) 2010 2005 2000 1995 1990 year
neutron lifetime results since 1990
beam method UCN bottle τn = 879.6 ± 0.6 s τn = 887.3 ± 2.8 s
SLIDE 17 900 895 890 885 880 875 870 neutron lifetime (s) 2010 2005 2000 1995 1990 year
neutron lifetime results since 1990
beam method UCN bottle τn = 879.6 ± 0.6 s τn = 887.3 ± 2.8 s Δτn = 7.7 ± 2.9 s
SLIDE 18 900 895 890 885 880 875 870 neutron lifetime (s) 2010 2005 2000 1995 1990 year
neutron lifetime results since 1990
beam method UCN bottle τn = 879.6 ± 0.6 s τn = 887.3 ± 2.8 s Δτn = 7.7 ± 2.9 s
NIST beam neutron lifetime experiment
SLIDE 19 Measurement of the Neutron Lifetime Using a Proton Trap
J.S. Nico, M.S. Dewey, and D.M. Gilliam National Institute of Standards and Technology
Tulane University
Indiana University G.L. Greene University of Tennessee
- J. Pauwels, R. Eykens, A. Lamberty, and J. Van Gestel
Institute for Reference Materials and Measurements, Belgium
SLIDE 20 Fundamental Neutron Physics Program:
- 30 postdocs
- 31 Ph.D. theses
- 40 graduate students
- >50 undergraduate students
- 41 collaborating institutions
neutron interferometer 0.89 nm UCN NG6 end position
NIST Center for Neutron Research Cold Neutron Guide Hall
0.50 nm test beam NEW! NG-C high flux end position - curved SM guide
SLIDE 21 neutron beam proton detector alpha, triton detector precision aperture B = 4.6 T Li deposit
6
trap electrodes door closed (+800 V) mirror (+800 V)
SLIDE 22 neutron beam proton detector trap electrodes door open (ground) mirror (+800 V) alpha, triton detector precision aperture Li deposit
6
B = 4.6 T
SLIDE 23 neutron beam proton detector alpha, triton detector precision aperture B = 4.6 T Li deposit
6
trap electrodes door closed (+800 V) mirror (+800 V)
SLIDE 24 neutron beam proton detector alpha, triton detector precision aperture B = 4.6 T Li deposit
6
trap electrodes door closed (+800 V) mirror (+800 V)
SLIDE 25 τ = Rnε pLdet Rpεthvth
neutron beam proton detector alpha, triton detector precision aperture B = 4.6 T Li deposit
6
trap electrodes door closed (+800 V) mirror (+800 V)
SLIDE 26 τ = Rnε pLdet Rpεthvth
neutron beam proton detector alpha, triton detector precision aperture B = 4.6 T Li deposit
6
trap electrodes door closed (+800 V) mirror (+800 V)
Ldet = nl + Lend
SLIDE 27 τ = Rnε pLdet Rpεthvth
neutron beam proton detector alpha, triton detector precision aperture B = 4.6 T Li deposit
6
trap electrodes door closed (+800 V) mirror (+800 V)
Ldet = nl + Lend
# trap electrodes
SLIDE 28 τ = Rnε pLdet Rpεthvth
neutron beam proton detector alpha, triton detector precision aperture B = 4.6 T Li deposit
6
trap electrodes door closed (+800 V) mirror (+800 V)
Ldet = nl + Lend
# trap electrodes length of electrode + spacer
SLIDE 29 τ = Rnε pLdet Rpεthvth
neutron beam proton detector alpha, triton detector precision aperture B = 4.6 T Li deposit
6
trap electrodes door closed (+800 V) mirror (+800 V)
Ldet = nl + Lend
# trap electrodes length of electrode + spacer total effective end region length
SLIDE 30 τ = Rnε pLdet Rpεthvth
neutron beam proton detector alpha, triton detector precision aperture B = 4.6 T Li deposit
6
trap electrodes door closed (+800 V) mirror (+800 V)
Ldet = nl + Lend
# trap electrodes length of electrode + spacer total effective end region length
Rp Rn = τ −1 ε p εthvth ⎛ ⎝ ⎜ ⎞ ⎠ ⎟ nl + Lend
( )
SLIDE 31
SLIDE 32
Proton Trap
SLIDE 33 1 10 100 1000 Counts 600 500 400 300 200 100 ADC Channel (7.47 ch. = 1 keV) Prot
Spectrum ( (32.5 .5 kV; 2 kV; 20 µ µg/cm /cm
2 Au)
Au) 32.5 keV
SLIDE 34 1 10 100 1000 Counts 500 400 300 200 100 TDC Channel (6.25 ch/µs) 3 Electrodes 4 Electrodes 5 Electrodes 6 Electrodes 7 Electrodes 8 Electrodes 9 Electrodes 10 Electrodes Proton Arrival Time Spectrum (32.5 kV; 20 µg/cm
2 Au)
SLIDE 35
20 40 Residuals 11 10 9 8 7 6 5 4 3 2 Electrode Number
4.0x10
3.5 3.0 2.5 2.0 1.5 Proton-Bkdg/Alpha 11 10 9 8 7 6 5 4 3 2 Electrode Number Nor
malized Prot
- ton
- n Cou
- unts vs. Trap Length
( (32.5 .5 kV; 2 kV; 20 µ µg/cm /cm
2 Au)
Au)
20 40 Residuals 12:00 AM 9/29/00 12:00 AM 9/30/00 12:00 AM 10/1/00 12:00 AM 10/2/00 12:00 AM 10/3/00 Date/Time
Fit of Rp Rn
trap electrodes
SLIDE 36 910 905 900 895 890 885 880 measured lifetime (s) 30x10
25 20 15 10 5 backscatter fraction
extrapolated result (stat. error only) 886.8 ± 1.2 s
27.5 kV 30 kV 32.5 kV
Lifetime vs. Backscatter
SLIDE 37
1/v neutron counter
SLIDE 38
neutron detection efficiency: εth = σ th 4π Ω x,y
( )
∫ ∫
ρ x,y
( )θ x,y ( )dxdy
1/v neutron counter
SLIDE 39 neutron detection efficiency: εth = σ th 4π Ω x,y
( )
∫ ∫
ρ x,y
( )θ x,y ( )dxdy
1/v neutron counter
Si detector solid angle
SLIDE 40 neutron detection efficiency: εth = σ th 4π Ω x,y
( )
∫ ∫
ρ x,y
( )θ x,y ( )dxdy
1/v neutron counter
Si detector solid angle areal density of Li foil
SLIDE 41 neutron detection efficiency: εth = σ th 4π Ω x,y
( )
∫ ∫
ρ x,y
( )θ x,y ( )dxdy
1/v neutron counter
Si detector solid angle areal density of Li foil neutron beam distribution
SLIDE 42
Error Budget
SLIDE 43 Error Budget
can be significantly reduced by an absolute calibration
neutron counter
SLIDE 44 Absolute neutron flux measurement to < 0.1% precision
now working at NIST 0.06% precision recently achieved! (Andrew Yue, NIST)
Neutron fluence monitor
The Alpha-Gamma device
Monochromatic neutron beam HPGe detector
Alpha-Gamma device
PIPS detector with aperture
Totally absorbing
10B target foil
HPGe detector
SLIDE 45 Absolute neutron flux measurement to < 0.1% precision
- 3He gas scintillation chamber (Tulane, NIST) - in construction/testing
- 10B alpha-gamma device
now working at NIST 0.06% precision recently achieved! (Andrew Yue, NIST)
Neutron fluence monitor
The Alpha-Gamma device
Monochromatic neutron beam HPGe detector
Alpha-Gamma device
PIPS detector with aperture
Totally absorbing
10B target foil
HPGe detector
SLIDE 46 Absolute neutron flux measurement to < 0.1% precision
- 3He gas scintillation chamber (Tulane, NIST) - in construction/testing
- neutron radiometer (Indiana, Michigan) - under development
- 10B alpha-gamma device
now working at NIST 0.06% precision recently achieved! (Andrew Yue, NIST)
Neutron fluence monitor
The Alpha-Gamma device
Monochromatic neutron beam HPGe detector
Alpha-Gamma device
PIPS detector with aperture
Totally absorbing
10B target foil
HPGe detector
SLIDE 47
1) Improved result from previous data with recent absolute neutron calibration
SLIDE 48
1) Improved result from previous data with recent absolute neutron calibration ~ 0.6 s
SLIDE 49
1) Improved result from previous data with recent absolute neutron calibration ~ 0.6 s ~ 2.3 s
SLIDE 50
1) Improved result from previous data with recent absolute neutron calibration new number very soon! ~ 0.6 s ~ 2.3 s
SLIDE 51
~ 0.6 s 2) Repeat experiment using existing apparatus to ~1 s
SLIDE 52
~ 0.6 s 2) Repeat experiment using existing apparatus to ~1 s
SLIDE 53
~ 0.6 s 2) Repeat experiment using existing apparatus to ~1 s ~ 1.0 s result in ~2016
SLIDE 54
A Path to a 0.1 s Neutron Lifetime Experiment Using the Beam Method
SLIDE 55
A new, larger proton counting apparatus:
SLIDE 56 A new, larger proton counting apparatus:
- neutron beam: 35mm diameter, low divergence, 3x capture flux
SLIDE 57 A new, larger proton counting apparatus:
- neutron beam: 35mm diameter, low divergence, 3x capture flux
- new magnet: 5 T, larger bore and longer
SLIDE 58 A new, larger proton counting apparatus:
- neutron beam: 35mm diameter, low divergence, 3x capture flux
- new magnet: 5 T, larger bore and longer
- bigger proton trap: 16 segments, each 40 mm long and 60 mm ID
SLIDE 59 A new, larger proton counting apparatus:
- neutron beam: 35mm diameter, low divergence, 3x capture flux
- new magnet: 5 T, larger bore and longer
- bigger proton trap: 16 segments, each 40 mm long and 60 mm ID
- electrostatic lens system to reduce backscatter correction
SLIDE 60 A new, larger proton counting apparatus:
statistical improvement factor: (25x beam area)x(3x neutron flux)x(2x trap length)x(4x run time) = 600
- neutron beam: 35mm diameter, low divergence, 3x capture flux
- new magnet: 5 T, larger bore and longer
- bigger proton trap: 16 segments, each 40 mm long and 60 mm ID
- electrostatic lens system to reduce backscatter correction
SLIDE 61 Proton detector:
Segmented ion-implanted Si wafer (S. Wilburn, Nab collaboration)
- 1-2 mm thick, 60 mm dia., 127 pixels
- < 100 nm dead layer
- ns timing
SLIDE 62 Absolute neutron counting:
Best achieved so far with α, γ device: 0.6% A path to 0.1% exists with a new, improved apparatus:
- accept larger beam (35 mm)
- longer run times for neutron counting and wavelength measurement
- improved geometry to reduce γ attenuation
0.1% is also possible with 3He gas scintillator (we think)
SLIDE 63 Upgraded experiment setup
- Beam shaped by 40 mm and 35 mm dia. collimators
- 60 mm dia. targets on 76 mm dia. substrates
- 6LiF target - 5 g/cm2 areal density
- Thin 10B target – 30 g/cm2 areal density
slide courtesy A. Yue
SLIDE 64
Goal = ~0.1 s proton counting improvements improved 1/v foils improved absolute neutron flux calibration
SLIDE 65
Goal = ~0.1 s proton counting improvements improved 1/v foils improved absolute neutron flux calibration
SLIDE 66
Beam Neutron Lifetime at a Long Pulse Spallation Source:
SLIDE 67 Beam Neutron Lifetime at a Long Pulse Spallation Source:
major advantage: measure capture flux as a function of time-of-flight in situ
- wavelength resolution at the % level gives a strong handle
- n absorber thickness correction (~ 5 s).
SLIDE 68 Beam Neutron Lifetime at a Long Pulse Spallation Source:
major advantage: measure capture flux as a function of time-of-flight in situ minor advantage: synchronize proton trap with neutron pulses to improve signal/background
- wavelength resolution at the % level gives a strong handle
- n absorber thickness correction (~ 5 s).
SLIDE 69 Beam Neutron Lifetime at a Long Pulse Spallation Source:
major advantage: measure capture flux as a function of time-of-flight in situ minor advantage: synchronize proton trap with neutron pulses to improve signal/background requirements:
- frame overlap choppers
- maximum capture flux
- wavelength resolution at the % level gives a strong handle
- n absorber thickness correction (~ 5 s).
SLIDE 70
Merci! Thank you!
SLIDE 71
Extra Slides
SLIDE 72 Trap nonlinearity effects:
- Inhomogeneity of the axial magnetic
field - important
- Neutron beam divergence within the trap
- minor
- Nonuniform electrode and spacer widths
- negligible
SLIDE 73 5.0 4.5 4.0 3.5 3.0 axial magnetic field (T) 50 40 30 20 10 axial position (cm)
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
downstream upstream electrode positions
Trap Magnetic Field
800 600 400 200 potential (V) 50 40 30 20 10 axial position z (cm)
Trap Electrostatic Potential (10 electrodes)
1.000 0.995 0.990 0.985 0.980 0.975 0.970 p/n correction factor 10 9 8 7 6 5 4 3 trap length (electrodes)
Correction Cactors from Monte Carlo Calculation
Nonlinearity due to the inhomogeneous magnetic field
SLIDE 74 Proton detector efficiency effects :
- proton backscatter - important
- Neutron beam halo - minor
(ε p <1)
SLIDE 75 600 500 400 300 200 100 Vertical Pixels (0.1 mm) 600 400 200
Horizontal Pixels (0.1 mm) b)
10
10
10
10
10
10
10
10
Beam Fraction Outside a Radius
300 200 100
Radius from Beam Centroid (0.1 mm) LiF Deposit Radius
10
10
10
10
10
10
Beam Fraction Outside a Radius
100 80 60 40 20
Radius from beam Centroid (0.1 mm) Effective Detector Radius Active Si Radius
600 500 400 300 200 100 Vertical Pixels (0.1 mm) 600 400 200
Horizontal Pixels (0.1 mm) a)
Upstream end of trap Downstream end of trap
detector Li foil
Dy foil neutron flux measurements
SLIDE 76
Uncertainty budget
slide courtesy A. Yue
SLIDE 77 Sources of uncertainty that must be addressed in a 0.01% calibration:
- Statistical uncertainty (0.032%)
- 239Pu source counting uncertainties (0.031%)
- Wavelength determination (0.024%)
- Beam spot corrections to solid angle (AG - 0.015%, FM – 0.009%)
- -attenuation in thick (0.023%) and thin (0.012%) targets
The path to 0.01%
slide courtesy A. Yue
SLIDE 78 Effects that require more measurement time
- Wavelength measurement (0.024%)
– determine cause of point spread, G.L. Hansen measurement achieved
0.006% uncertainty
- Beam spot corrections to solid angle (AG – 0.015%, FM – 0.009%)
– more beam images, better control and assessment of image background
slide courtesy A. Yue
SLIDE 79 Effects that have been resolved
- 239Pu source counting uncertainties (0.031%)
– limited by uncertainty in source calibration stack solid angle (0.03%) –new stack characterization with better aperture and improved metrology techniques achieved 0.007% uncertainty
slide courtesy A. Yue
SLIDE 80 Effects addressed in an apparatus rebuild
- Statistical uncertainty (0.032%)
– build apparatus that accepts a much larger beam (~35 mm diameter)
- -attenuation in thick (0.023%) and thin (0.012%) targets
– new apparatus has only front-facing HPGe detectors
slide courtesy A. Yue
SLIDE 81 A 3He gas scintillation absolute neutron counter
(Tulane, NIST)
TPB acrylic 25 cm 13 cm PMT 1 atm He + N
3 2
5 mm dia, 5A neutron beam .004" Al window PMT PMT PMT PMT
Design features:
- absolute neutron counting to 99.95%
- 3He gas scintillates in XUV (70-90 nm)
- >50 kHz pulse counting rate
- XUV downshifted to visible by TPB
- >30 photoelectrons/neutron capture
- 1-10 torr N2 quenches long-lived triplet dimers
construction / testing now in progress