of 11
Performance of the Los Alamos National Laboratory spallation-driven solid-
deuterium ultra-cold neutron source
A. Saunders, M. Makela, Y. Bagdasarova, H. O. Back, J. Boissevain et al.
Citation: Rev. Sci. Instrum. 84, 013304 (2013); doi: 10.1063/1.4770063
View online: http://dx.doi.org/10.1063/1.4770063
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REVIEW OF SCIENTIFIC INSTRUMENTS
84
, 013304 (2013)
Performance of the Los Alamos National Laboratory spallation-driven
solid-deuterium ultra-cold neutron source
A. Saunders,
1
M. Makela,
1
Y. Bagdasarova,
1
H. O. Back,
2
J. Boissevain,
1
L. J. Broussard,
2
T. J. Bowles,
1
R. Carr,
3
S. A. Currie,
1
B. Filippone,
3
A. García,
4
P. Geltenbort,
5
K. P. Hickerson,
3
R. E. Hill,
1
J. Hoagland,
2
S. Hoedl,
4
A. T. Holley,
2
G. Hogan,
1
T. M. Ito,
1,3
Steve Lamoreaux,
1,6
Chen-Yu Liu,
7
J. Liu,
3,8
R. R. Mammei,
9
J. Martin,
3,10
D. Melconian,
11
M. P. Mendenhall,
3
C. L. Morris,
1
R. N. Mortensen,
1
R. W. Pattie, Jr.,
2
M. Pitt,
9
B. Plaster,
12
J. Ramsey,
1
R. Rios,
13
A. Sallaska,
4
S. J. Seestrom,
1
E. I. Sharapov,
14
S. Sjue,
1,4
W. E. Sondheim,
1
W. Teasdale,
1
A. R. Young,
2
B. VornDick,
2
R. B. Vogelaar,
9
Z. Wang,
1
and Yanping Xu
2
1
Los Alamos National Laboratory, Los Alamos, New Mexico 87544, USA
2
Department of Physics, North Carolina State University, Raleigh, North Carolina 27695, USA
3
Kellogg Radiation Laboratory, California Institute of Technology, Pasadena, California 91125, USA
4
Department of Physics, University of Washington, Seattle, Washington 98195, USA
5
Institut Laue-Langevin, 38042 Grenoble Cedex 9, France
6
Department of Physics, Yale University, P.O. Box 208120, New Haven, Connecticut 06520-8120, USA
7
Department of Physics, University of Indiana, 727 E. Third St., Bloomington, Indiana 47405-7105, USA
8
Department of Physics, Shanghai Jiao Tong University, Shanghai 200240, China
9
Department of Physics, Virginia Tech, Blacksburg, Virginia 24061, USA
10
University of Winnipeg, Winnipeg, Manitoba R3B 2E9, Canada
11
Cyclotron Institute, Texas AM University, College Station, Texas 77843, USA
12
Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506, USA
13
Department of Physics, Idaho State University, Pocatello, Idaho 83209, USA
14
Joint Institute for Nuclear Research, 141980 Dubna, Russia
(Received 25 July 2012; accepted 14 November 2012; published online 14 January 2013)
In this paper, we describe the performance of the Los Alamos spallation-driven solid-deuterium ultra-
cold neutron (UCN) source. Measurements of the cold neutron flux, the very low energy neutron
production rate, and the UCN rates and density at the exit from the biological shield are presented
and compared to Monte Carlo predictions. The cold neutron rates compare well with predictions
from the Monte Carlo code MCNPX and the UCN rates agree with our custom UCN Monte Carlo
code. The source is shown to perform as modeled. The maximum delivered UCN density at the
exit from the biological shield is 52(9) UCN/cc with a solid deuterium volume of
1500 cm
3
.
© 2013 American Institute of Physics
.[
http://dx.doi.org/10.1063/1.4770063
]
I. INTRODUCTION
Ultra-cold neutrons (UCN) are defined as neutrons that
can be trapped in material bottles and guides because their
kinetic energies are less than the effective potential
V
F
(the
volume average of the Fermi potential),
V
F
=
2
π
h
2
m
Na,
where
N
is the number density,
a
is the material’s neutron
scattering length, and
m
is the neutron mass.
58
Ni exhibits one
of the largest potentials of available materials, 342 neV. Neu-
trons with kinetic energies below this potential (i.e., velocities
below 8.09 m/s) can be trapped in a
58
Ni bottle. Two books
and a recent review highlight the wide variety of physics that
can be performed using trapped UCN.
1
3
In the past decade, experiments have demonstrated
several advantages of using ultra-cold neutrons for beta
decay experiments. Measuring the decay of neutrons trapped
in material bottles eliminates systematic errors associated
with defining the volume and flux that have plagued neutron
lifetime experiments with cold neutron beams
4
7
and there-
fore allows more precise measurements.
8
13
More recently,
results obtained with the Los Alamos Neutron Science Center
(LANSCE) UCN source
14
,
15
have demonstrated that the high
polarizations and low backgrounds that can be obtained with
spallation-driven, pulsed UCN sources can reduce the system-
atic errors in measuring the spin dependence of neutron beta
decay
16
,
17
relative to cold neutron beam-based experiments.
The idea that solid deuterium (SD
2
) can used as a su-
perthermal UCN source goes back to a paper by Golub
and Boening.
18
,
19
Pokotilovski pointed out the advantages of
UCN production in SD
2
at pulsed neutron sources;
20
the use
of spallation as a pulsed source for neutrons was suggested
by the Gatchina group.
21
23
New UCN sources, using su-
perthermal production
1
with either superfluid helium or solid
deuterium as a converter material, are being built at several
facilities.
24
28
Recently, a very encouraging result has been
published by Masuda for a prototype source based on produc-
tion in superfluid helium.
29
The lifetimes of UCN in solid ortho-deuterium are lim-
ited by the neutron’s decay time, nuclear absorption of
UCNs on the deuterium, nuclear absorption on contami-
nating hydrogen, thermal upscattering from the deuterium,
0034-6748/2013/84(1)/013304/10/$30.00
© 2013 American Institute of Physics
84
, 013304-1
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013304-2 Saunders
et al.
Rev. Sci. Instrum.
84
, 013304 (2013)
and upscattering caused by spin conversion of contaminat-
ing para-deuterium. These lifetimes, measured in solid ortho-
deuterium at temperatures below 12 K,
30
are long enough to
yield high densities in a spallation driven source, in agreement
with theoretical calculations,
31
and correspondingly high den-
sities were measured in a small scale prototype UCN source.
32
UCN production rates in solid ortho-deuterium measured in
experiments at PSI
33
and at LANSCE
34
have verified the ear-
lier work in more quantitative and controlled experiments.
Here, we report on results that have been obtained with
a spallation-driven pulsed UCN source, driven with protons
provided by the 800 MeV Los Alamos Neutron Science Cen-
ter linear accelerator at the Los Alamos National Laboratory.
The source moderates and converts spallation neutrons, pro-
duced in a tungsten target, to UCN in a windowless solid
deuterium volume inside of a UCN guide system. The neu-
trons are transported through a stainless steel guide system
to an experimental area where they can be used for experi-
ments. In this paper, we describe the design of the source and
measurements and predictions of the cold neutron and UCN
production rates. We compare Monte Carlo predictions of the
UCN transport times and flux through the guide system to
their measured values, and use the validated Monte Carlo re-
sults to predict the densities available for experiments.
II. DESIGN
The details of the source are shown in the schematic
drawing in Figure
1
. Protons from the LANSCE 800 MeV
accelerator are delivered to a 12 cm long helium gas-cooled
tungsten alloy-spallation target. Recently (2010), the target
shape has been changed from a right circular cylinder (2 cm
diameter) to a target with an approximate square cross section
with rounded corners with 2.5 cm sides in order to increase
the amount of tungsten in the path of the proton beam. This
has improved the produced UCN rates by
50%. The target
is surrounded by a room temperature beryllium reflector, in
which a volume of SD
2
is embedded. The SD
2
volume, a
vertical right circular cylinder 19.7 cm diameter and 5.7 cm
high, is contained in a liquid-2 cm thick liquid helium-cooled
FIG. 1. Cutaway view of the source. The graphite cube is 1.8 m on a side.
This entire assembly is surrounded by the biological shield, consisting of at
least 3 m of steel and 2 m of concrete in all directions.
aluminum cryostat that is coated with
58
Ni to reflect and con-
tain the UCN. A set of fins (apparent in the inset in Figure
1
)
are machined in the bottom of the aluminum cryostat to
improve the surface contact between the liquid helium and
the solid deuterium. This entire assembly is surrounded by
approximately 1 m of reactor grade graphite. Between the
solid deuterium volume and the beryllium reflector is a 1 cm
thick layer of polyethylene beads with an effective density of
0.5–0.6 g/cm
3
, cooled by some of the boil off gas from the
liquid helium that cools the SD
2
. The temperature of the
polyethylene beads depended on the proton current delivered
to the W-target and was around 150 K at an average current
of 5.8
μ
A.
Temperatures were typically measured using cernox sen-
sors clamped to the aluminum outer wall of the guide vacuum
chamber. These sensors provided reproducible and reliable
temperatures with roughly a 1 K uncertainty. In the case of
the polyethylene, the sensor was mounted to the outside of
the aluminum can containing the polyethylene beads, and
operational conditions (He vapor flow through the polyethy-
lene) could vary significantly. This introduces a difficult to
quantify but significant uncertainty into these temperature
measurements. Measurements and MCNPX Monte Carlo
calculations indicated only a weak dependence of the UCN
production rate on the polyethylene temperature, because a
significant amount of neutron moderation was provided by
the SD
2
.
The aim of this design was to couple the solid deuterium
volume as closely as possible to the spallation target in or-
der to take advantage of the high neutron densities possible in
spallation neutron production. Since only
20 MeV of ther-
mal energy is deposited in the target assembly for each spal-
lation neutron produced, compared to
200 MeV per neutron
in a reactor, the cold neutron density in a spallation-driven
source can be higher for a given cooling capability. However,
because of the small spallation source volume, the cold neu-
tron density in the SD
2
would fall quickly if it were moved
away from the spallation target. The technical challenge was
to provide enough cooling to the solid deuterium to keep the
temperature sufficiently low (
<
10 K) so as not to impact the
UCN lifetimes in the target due to thermal upscatter,
1
while
the beam was on. The source of heating was both charged
particles and gamma rays produced in proton beam-target in-
teractions.
The lower part of the target was constructed from alu-
minum and an aluminum-beryllium alloy in order to keep the
heat load from the target walls to a minimum. Thermal iso-
lation between the solid deuterium volume and the upper tar-
get region was provided by an explosively bonded aluminum
to stainless steel thermal break. The temperature of the UCN
guide above the thermal break could be controlled by flow-
ing boil-off helium gas from the SD
2
cooling through a heat
exchanger built into the outer target wall.
Biological shielding was provided by
2 m of steel and
1.8 m of concrete on the sides and top of the source box
with somewhat more shielding on the downstream face. The
shielding is sufficient to allow experimentalists to occupy the
experimental area with up to 10
μ
A of beam with no precau-
tions other than standard dosimetry.
Downloaded 14 Mar 2013 to 131.215.71.79. Redistribution subject to AIP license or copyright; see http://rsi.aip.org/about/rights_and_permissions
013304-3 Saunders
et al.
Rev. Sci. Instrum.
84
, 013304 (2013)
The inside wall of the cryostat volume and vertical guide
was sputter-coated with 200 nm of
58
Ni. When the UCN ex-
ited the top surface of the SD
2
into the vacuum in the guide,
they received a potential boost of 102 neV; gravity was used to
cancel this effect with a 1 m vertical section of 18 cm diam-
eter guide before the stainless steel horizontal guide section
that transported the UCN out of the biological shield wall.
The 342 neV potential of
58
Ni ensured that all of the neutrons
that could be transported by stainless steel (potential 189 neV)
into the experimental area were also trapped by the walls in
the lower volume of the source.
A butterfly (flapper) valve, attached to the bottom of the
vertical guide above the SD
2
, is also shown in Figure
1
.This
was actuated by a rotation shaft that exited from the top of the
system and was driven by a stepping motor. The opening and
closing time of the flapper valve was about 0.1 s.
When in production, the peak proton current from the
accelerator was typically 10 mA of protons, delivered in 5
pulses of length 625
μ
s at 20 Hz, with a gap between groups
of pulses of 5.0 s. The total charge delivered per pulse group
was 30
μ
Cin
0.2 s for an average current of 150
μ
A during
the time when the UCN flapper valve was open. The longer
term average current delivered to the target in this mode was
5.8
μ
A.
Previous design calculations
14
,
35
predicted that the total
number of cold neutrons (CN) through the solid deuterium
volume would be about 3 CN per proton delivered to the
tungsten target (this gave a cold neutron flux density of
6
×
10
10
CN/cm
2
/s/
μ
A). The UCN production was predicted
to be 250 UCN/cm
3
/
μ
C inside the SD
2
volume. Because
the source performance fell below these expectations in
early tests, we conducted measurements of the flux from the
UCN source and performed new calculations with the latest
MCNP5/MCNPX codes and their standard data libraries.
36
38
These are described below.
III. COLD NEUTRON PERFORMANCE
Measurements of the cold neutron flux in the target vol-
ume were accomplished using two methods: (1) argon acti-
vation by the cold neutron flux and (2) direct counting cold
and very cold neutrons with a
3
He-based neutron detector of
known efficiency in a time of flight experiment.
A. Activated argon cold neutron flux measurement
An argon-activation experiment was performed by freez-
ing 15.2 g of natural isotopic abundance argon into the empty
SD
2
volume, delivering a small amount of proton charge
through the tungsten target, and then recovering some of the
gas and counting gamma rays produced by the beta decay
of
41
Ar. The argon gas was preloaded into an external cali-
brated loading volume of 7.9 l at 1.3
×
10
5
Pa (Figure
2
).
This was subsequently opened to the source and UCN guides,
and the temperature and pressure were allowed to equilibrate.
The pressure after equilibration was 6.3
×
10
3
Pa. The vol-
ume of the SD
2
chamber, vertical guide, and horizontal guide
was 159 l.
FIG. 2. Schematic layout of the argon activation experiment. Parts of the
biological shield are removed in this figure so that the UCN transport is vis-
ible. The calibrated volume was used for loading, retrieving, and measuring
the decay of the argon gas. The location where the vanadium foil experiment
was performed is indicated.
The cryostat was then cooled to 60 K (freezing the argon
into the empty cold SD
2
volume of the cryostat) and exposed
to the neutron fluence produced by 1.52
×
10
15
protons im-
pacting the tungsten spallation target. The proton fluence was
measured with a Bergoz coil
39
to a precision of several per-
cent. The polyethylene (cold moderator) temperature for this
irradiation was 155 K. After the irradiation, the cryostat was
warmed until the pressure in the loading volume and UCN
guide system was 4.9
×
10
3
Pa (82% recovery). The cali-
brated loading volume was closed off from the rest of the
system, the remaining argon in the source and guides was
pumped out, and the 1.2 MeV gamma rays from the beta de-
cay of
41
Ar (t
1/2
=
126 s) in the calibrated loading volume
were counted. A sample spectrum is shown in Figure
3
.
The product of photopeak efficiency and effective solid
angle for the high purity germanium (HPGe) detector was
measured by mounting a
60
Co source of known activity at the
loading volume location and comparing rates of the 1.17 and
1.33 MeV
γ
-ray peaks to the known decay rate. The finite
source volume of the argon was accounted for by averaging
the solid angle over the argon volume. From these measure-
ments, the
41
Ar production rate per proton was calculated to
FIG. 3. Spectrum of gamma rays from the irradiated argon (red) and the
background (blue). The main peak consists of the 1.2 MeV
γ
-rays from
argon-41 decay.
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013304-4 Saunders
et al.
Rev. Sci. Instrum.
84
, 013304 (2013)
be 6.5
×
10
4
integrated over the neutron spectrum. This can
be compared to the MCNP prediction of 7.1
×
10
4
. The cold
neutron fluence was calculated from these measurements, us-
ing the thermal neutron capture cross section of
40
Ar of 0.66
b,
40
a1
/v
neutron velocity dependence of the cross section,
the assumption of a Maxwellian neutron spectrum centered
at the polyethylene moderator temperature of 155 K, and a
MCNP calculation of the relative contribution of cold neu-
trons to the argon-41 activation of 60%. This gave a cold neu-
tron fluence of 0.84
±
0.17 neutrons/proton through the SD
2
source area in the absence of SD
2
, which corresponded to a
flux density of (1.7
±
0.3)
×
10
10
CN/cm
2
/s/
μ
A. The peak
neutron flux was about 1.33
×
10
13
CN/s/cm
2
. A 20% un-
certainty, which dominated the total uncertainties quoted on
these results, was assigned to account for our lack of knowl-
edge of the exact geometry of the frozen argon in the SD
2
volume.
B. Time-of-flight (TOF) cold neutron flux
measurement
The time-of-flight experiment to benchmark the MCNP
cold neutron flux was performed with a
3
He-based neutron
detector mounted on the top of the 2 m long iron and borated-
polyethylene laminated shielding plug that closed the biolog-
ical shield package from the top. The plug had two open 2 cm
diameter vertical channels: one with a 0.75 mm aluminum
window and the other with a 2 mm pyrex window, each 2 m
from the detector. The detector viewed the cold neutron flux
through both channels. The length of the neutron flight path
in this geometry was 3.60 m. The limiting solid angle was the
2 cm diameter aperture immediately below the detector, with
a solid angle of 2.4
×
10
5
sr. The calculated efficiency of
the detector for 25-meV neutrons was 0.19. A pulse-height
spectrum from the detector in a typical cold neutron detec-
tionrunisshowninFigure
4
. For these measurements, pro-
tons were delivered to the tungsten spallation target in 250 ns
long pulses of
1.4
×
10
10
protons at a rate of one pulse per
second. As in the argon-activation measurements described
above, the proton fluence was measured with a Bergoz coil.
The arrival of pulses from the neutron detector (TOF) was
measured as a function of time after the proton pulse. A typi-
cal TOF distribution with the polyethylene at a temperature of
220 K, measured with the source empty (no solid deuterium),
is shown in Figure
5
.
Figure
5
also shows the time-of-flight distribution mea-
sured with 1000 cc of solid deuterium at a temperature of 5 K
in the cryostat and with a polyethylene temperature of 60 K.
The distribution demonstrates a considerable enhancement of
the relative population of neutrons with a time of flight longer
than 3.35 ms, which corresponded to an energy below 6 meV.
The total number of protons delivered to the tungsten target
in this run was 5.7
×
10
13
. Deducing the shape of the cold
neutron energy spectrum from these data required a compli-
cated deconvolution of the TOF-spectrum due to the energy-
dependent moderation time in the source (400–600
μ
s),
which dominated the resolution function. This width was
comparable to the width of the measured spectrum. The inte-
FIG. 4. Pulse-height spectrum from the 3He-based neutron detector used for
the CN and very cold neutron time-of-flight measurements. The measure-
ments can be observed to be very clean.
gral over the spectrum, however, did not depend on the resolu-
tion function; therefore, it could be directly compared with the
MCNP modeling. We performed such a comparison for neu-
tron flux at the detector position after taking account of the
energy-dependent
3
He detector efficiency. For the first spec-
trum, the integral of neutrons with energy below 100 meV was
1.56
×
10
5
neutrons per
μ
C of protons, while the correspond-
ing MCNP prediction was 1.70
×
10
5
per
μ
C. For the second
spectrum, the integrals below 25 meV were 0.75
×
10
5
per
μ
C of protons measured and 0.86
×
10
5
per
μ
C predicted. In
both cases the agreement is within 20%.
FIG. 5. Time-of-flight spectrum with the source empty and the polyethylene
moderator at 220 K (red) and the source full of SD
2
(
1.2 l) and the polyethy-
lene at a temperature of 60 K (blue). The time of the proton pulse corresponds
to time
=
0. The total number of protons delivered through the tungsten tar-
get in this run was 5.2
×
10
13
. The volume of the target was
1000 cc. The
vertical black lines mark neutron energies of 40 meV and 6 meV at times of
1350
μ
s and 3350
μ
s, respectively.
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013304-5 Saunders
et al.
Rev. Sci. Instrum.
84
, 013304 (2013)
The MCNP simulation was performed with the codes
MCNP5
38
and MCNPX.
37
We used the
S
(
α
,
β
) option of the
MCNP cross sections for SD
2
, graphite, and beryllium, and
the Maxwellian MCNP gas model cross sections for other
materials, including polyethylene. The MCNP5 data library
does not have polyethylene kernels for temperatures below
300 K. We therefore were forced to use the MCNP gas model
for temperatures other than ambient. In order to estimate the
systematic effect of making this change, we made compari-
son calculations (with SD
2
in the cryostat) using the MCNP
gas model for the 150 K polyethylene kernel and MCNP5’s
20 K methane kernel (with the density modified to achieve an
equal concentration of hydrogen atoms in the materials). The
methane calculation showed a 25% increase in the cold neu-
tron flux relative to the 150 K polyethylene calculation, thus
putting an upper limit on the effect of using the 150 K gas
model instead of the desired polyethylene kernel.
We used the geometry for the LANL ultra-cold neutron
source developed by Xu,
41
which takes into account all essen-
tial features of the setup shown in Figure
1
. The tight collima-
tion in the cold neutron flux measurement prevented a direct
MCNPX modeling of the absolute detector rates. Instead, a
two stage procedure was applied. First, the cold neutron flux
leaving the SD
2
surface was modeled by MCNPX in a stan-
dard way with a volume proton source.
41
Next, the solid angle
of the collimator-detector system was modeled using MCNP5
with a surface cold neutron source.
IV. UCN PRODUCTION
The production of UCN in solid deuterium was measured
in the experimental setup shown in Figure
6
. The source was
cooled and filled with solid deuterium. A detector was in-
stalled in the vertical UCN guide that led up from the SD
2
.
It was located about 165 cm above the bottom of the source.
The detector had two active regions, each 2.2 cm thick sepa-
rated by a thin nickel foil. The active area of the detector was
7.8
±
0.2
×
7.8
±
0.2 cm
2
. Because of the Fermi potential of
the nickel, the second detector saw no UCN.
FIG. 6. Geometry used in the simulations of the internal measurement of
UCN production in the SD
2
.
FIG. 7. Schematic view of the detector. Unlabeled dimensions are in cm.
The anode/cathode spacing was 0.4 mm. the center cathode, blue line, was
constructed of 25
μ
m thick natural nickel foil. The analysis here used the
front detector.
The detector was filled with a gas mixture of 8
×
10
4
Pa
of CF
4
and (1.00
±
0.01)
×
10
3
Pa of
3
He. A schematic
diagram of the detector is shown in Figure
7
. The tungsten
target was irradiated with proton pulses and the arrival time of
pulses from the detector was measured as a function of time
after the proton pulse. The detector response was modeled
by tallying only neutrons that were absorbed in the gas. The
lifetime for absorption was determined by the
3
He pressure
to be 3.2 ms.
The detector was configured with an internal voltage di-
vider to place the cathode planes at 1/3 of the potential of the
anode planes using a string of 100 M

resistors. The cath-
odes were bypassed to ground through 1 nF capacitors. The
outer cathodes were constructed from electro-formed nickel
grids with 97% open area. The inner cathode was a solid
25
μ
m thick nickel foil. The anode/cathode spacing was
0.4 mm.
The detector was operated at an anode voltage of
3400 V to provide sufficient anode gain to ensure a good
signal-to-noise ratio while driving the 4.5 m of coaxial cable
needed to get the signal out of the shielding package. The
signals were amplified in a fast (200 MHz) amplifier with a
gain of
20, and then in an Ortec timing filter amplifier. An
integration time of 50 ns and a differentiation time of 500 ns
gave good signal-to-noise performance.
The detector was separated from the internal volume of
the UCN guide by a nickel barrier with a potential of 242 neV,
a lifetime of 3.2
×
10
4
s, and a thickness of 25
μ
m. The SD
2
was modeled with a potential of 108 neV and total lifetime for
UCN of 2.0
×
10
2
s. The internal guide was modeled with a
Fermi potential of 342 neV, a non-specularity of 0.025, and a
loss per bounce of 2.8
×
10
5
.
Data were taken with a 625
μ
s long beam gate, deliv-
ered at a rate of one beam gate every 30 s. Within each beam
gate, the protons were delivered in micropulses and separated
(leading edge to leading edge) by 1.788
μ
s. The charge in
each beam pulse was about 0.5
μ
C. The time of arrival distri-
bution in the front detector is shown in Figure
8
.
In the calculation, neutrons were chosen from a
v
2
dv
distribution up to 200 m/s. Arrival times at the detector were
Downloaded 14 Mar 2013 to 131.215.71.79. Redistribution subject to AIP license or copyright; see http://rsi.aip.org/about/rights_and_permissions
013304-6 Saunders
et al.
Rev. Sci. Instrum.
84
, 013304 (2013)
FIG. 8. Comparison of data to Monte Carlo calculations of UCN arrival time
at the front detector. These data were taken with an SD
2
volume of 1500 cm
3
.
tallied. The resulting spectrum was normalized to the data,
and the normalization was used to determine the production
rate of neutrons with velocities below 8 m/s. The normalized
distribution is shown along with the data in Figure
8
.Data
were taken with deuterium in the target and with the target
empty. These are also shown in Figure
8
.
The transport of neutrons to the detector was predicted
with a Monte Carlo calculation assuming a Maxwellian en-
ergy distribution in the solid deuterium and was normalized
to the difference between full and empty. The result is shown
in Figure
8
. The cut off near 0.2 s corresponds to the flight
time expected for 219 nV neutrons at the surface of the SD
2
,
the minimum energy needed to overcome the sum of the grav-
itational and the aluminum barrier potential to make it into the
detector. The production rate of UCN (Neutrons with kinetic
energies below (380–109 neV) in the solid deuterium, neu-
trons that are trapped by a 58Ni potential after they receive
a 109 neV boost on exiting from the solid deuterium) can be
obtained by integrating the distribution. The resulting produc-
tion density is 85
±
10 UCN/
μ
C/cm
3
.
On the other hand, relying on our successfully bench-
marked (see Sec.
III
) MCNP5 prediction of cold neutron flux,
we have simulated the cold neutron spectrum for the source.
It is shown in Figure
9
. The temperature of the polyethylene
in this case is 150 K. A visible structure is produced by the
MCNP data file for solid deuterium at 20 K. The fluence av-
FIG. 9. MCNP simulated cold neutron flux for the LANL ultra-cold neutron
source.
eraged over the SD
2
volume is 2.0
×
10
10
/cm
2
/
μ
C for neu-
tron energies below 25 meV (this is the energy range effec-
tive for the UCN production
42
). We find good agreement be-
tween this prediction and the result obtained from argon ac-
tivation. With this spectrum, with the deuterium molecular
number density of 3
×
10
22
cm
3
and with the UCN spec-
tral (in the dependence of the cold neutron energy) production
cross sections measured by Atchison,
42
we have calculated
the UCN production density to be 107
±
20 UCN/
μ
C/cm
3
,
in reasonable agreement with the experimental result of
85
±
10 UCN/
μ
C/cm
3
. With an average proton beam current
of 5.8
μ
A and a peak current of 120
μ
A, the source in princi-
ple can achieve a peak UCN density of 10 000 UCN/cm
3
.In
fact, since the volume of the SD
2
only fills 1/3 of the volume
below the flapper valve, the actual peak densities were only
observed to be 3000 UCN/cm
3
.
We note also that in the latest in-beam study at
LANSCE,
34
the UCN effective production cross section was
measured to be 1.27
×
10
7
b per molecule for the UCN en-
ergy range of 0–300 neV, in agreement with the cross sec-
tions of Atchison,
33
when these are integrated over the neu-
tron spectrum from LANSCE flight path FP-12, which is char-
acterized by the neutron temperature of 35 K.
The current results can also be compared with previous
measurements of the UCN production in our prototype source
of 460
±
90 UCN/
μ
C/cm
3
,
32
a factor of 4.3
±
1.2 higher than
our measurements of the present source. The prototype source
SD
2
volume had a diameter of 8 cm, a solid polyethylene
moderator cooled to 4 K, and a beryllium reflector cooled to
77 K. MCNP modeling suggests the smaller volume and dif-
ferent aspect ratio of the prototype SD
2
volume gives a factor
of two higher density when compared to the present source.
The remaining difference of a factor of two is probably due
to the combined effects of a different design and performance
of the polyethylene moderator, to different absorption of cold
neutrons in the construction materials, and to the larger tung-
sten spallation target used in the prototype.
32
V. TRANSPORT
Measurements of the UCN flux external to the biological
shield package were used to characterize the overall source
and guide performance. The drawings in Figure
10
show the
configuration used for these measurements. The flux from the
source could be measured using the main detector by opening
the gate valve (labeled in the figure). For normal operation,
the proton beam was delivered in groups of five 625
μ
s pulses
delivered at 20 Hz with a spacing between groups of 5 s. This
is illustrated in the graph shown in Figure
10
. The average
current in these measurements, measured using the Bergoz
coil, was limited to about 5.0
μ
A by the accelerator safety
system.
The neutron flux and the lifetime of UCNs in the source
and guides were measured by using UCN detectors
43
external
to the shield wall. The transport properties of the source were
benchmarked using two measurements. In the first, the gate
valve was closed and protons were delivered to the target at a
rate of 1 group of pulses per 60 s. Measurements were made
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