simulations on “energy plus transmutation” setup, 1.5 gev mitja majerle [email protected]
TRANSCRIPT
What was studied ?
• the influence of the simplifications of the setup description
• the influence of the different parts of the setup to the results
• the influence of the beam geometry
• the influence of the inserted detectors
• the influence of protons
• the influence of the intra-nuclear cascade model used in calculations
• parameters of the setup - the number of produced neutrons, produced in spallations, in fission, the influence of protons, k (criticality), heat production ...
Code, setup parameters
• MCNPX 2.4.0
• plots of the setup will follow
• estimation of some parameters (aluminum shielding, density of polyethylene, dimensions and material of holders, wooden plates, nuclear structure, ..)
• detectors (input data !)
Control detectors for studying the setup
- with (n,) we study LE neutrons (flat part)
-(n,4n) threshold is 23 MeV.1E-07
1E-06
1E-05
1E-04
1E-03
1E-02
1E-01
1E+00
1E-10 1E-08 1E-06 1E-04 1E-02 1E+00 1E+02 1E+04
Energy [MeV]
Nne
utro
ns
on the target
under Cd
outside box
The simplifications of the blanket• No influence on
high energy neutrons (even numbers in graphs)
• Box has no influence on HE neutrons !
• With polyethylene lower influence
• 40%, 10%
Polyethylene, Cd layer
• Last winter V. Wagner presented these spectra.• The spectra were taken inside the 1st and 3rd gap.
1st gap, 3cm from axis
1E-06
1E-05
1E-04
1E-03
1E-02
1E-01
1E-10 1E-08 1E-06 1E-04 1E-02 1E+00 1E+02 1E+04
without Cd
without box
whole_setup
3rd gap, 3 cm from axis
1E-07
1E-06
1E-05
1E-04
1E-03
1E-02
1E-01
1E-10 1E-08 1E-06 1E-04 1E-02 1E+00 1E+02 1E+04
without Cd
without box
whole_setup
absorption done by 238U resonance capture
Aluminum and iron holders, upper iron plate
• Two simulations with and without Al, Fe components. The results do not differ outside the limits of statistical error (HE 3%, LE 10%)
• The upper iron plate reduces the number of neutrons for 2%.
The wooden plate
• Wooden plate under the target(1+2cm,0.5kg/l).
• Detectors from top to bottom.
• No box.• Asymmetry 5% =>
negligible wood influence.
0E+0
1E-5
2E-5
3E-5
4E-5
5E-5
-10 -5 0 5 10
Radial foil position [cm]
Pro
du
ctio
n r
ate
Au-198
Au-194
Beam parameters influence• Beam profile is approximated with Gaussian
distribution (good only near the beam center).• We must always count with beam displacement.• Experimentally determined beam profiles and
displacement (V. Wagner using monitor and track detector data – for profile mainly I. Zhuk data):
Experiment(Energy)
Beamintegral[1013]
Beamintegralon leadtarget[1013]
FWHM(vertical)
[cm]
FWHM(horizontal)
[cm]
Fractionof beamoutside
Pb target[%]1)
Position(vertical)
[cm]
Position(horizontal)
[cm]
700 MeV 1.47(5) 1.04(8) 5.91(21) same < 27 -0.4(9) 0.2(2)1 GeV 3.40(15) 3.25(14) 4.1(3) 2.5(3) < 6 0.2(2) 0.0(2)
1.5 GeV 1.14(6) 1.10(5) 3.7(5) 2.4(5) < 6 0.1(2) 0.3(2)2.0 GeV 1.25(6) 1.07(10) 5.4(3) 3.8(3) <20 0.3(2) -1.4(2)
Beam profile
• Simulations with 3mm, 3cm homogenous beams and with a beam with gaussian profile (FWMH=3cm).
• Differences only for few percents.
• Not important.-10
-8
-6
-4
-2
0
2
4
6
1 2 3 4 5 6 7 8 9 10
Foil and reaction number
beam
/3cm
-1 (i
n %
)
3mm/3cm-1
gauss/3cm-1
Beam displacement
• Beam displaced for 3,5,8, and 10 mm.
• Differences between results up to 30% !
• Displacement must be measured as accurately as possible ! 0
10
20
30
40
50
60
70
1 2 3 4 5 6 7 8 9 10
Foil and reaction
Dis
pla
ced
bea
m/c
ente
r b
eam
-1 (
in %
)
3 mm
5 mm
8 mm
10 mm
Beam hitting uranium
• Badly focused beam also hits uranium blanket.
• The influence of few percents of beam hitting uranium was not seen in simulations.
• Gaussian distribution is not valid for the tails and in reality we don’t know how much big is this influence.
The influence of protons
• Activation detectors could also be detected with protons.
• Cross-sections for reactions with protons are not included in MCNPX.
• Estimations from Phasotron experiment and neutron/proton ratio : in gaps, near the central axis ca. 10% of activation is due to protons.
The influence of detectors on neutron field
• Metal plate on top reduces the number of neutrons only for 2%. Our detectors are much smaller.
• Golden strap (2mm, 4mm) in the first gap did not influence detectors in other gaps.
• Only 0.1 mm thick golden strap is an obstacle for thermal neutrons : it can reduce the number of thermal neutrons inside the same gap for 20%.
The influence of detectors on neutron field
• The 4mm and 8mm polyethylene on which were placed the detectors for 1.5 GeV experiments had effect on LE neutrons.
• Au in sandwich of 2 Bi foils => no influence.
1E-8
1E-7
1E-6
1E-5
1E-4
1E-3
1E-2
1E-1
1E+0
1E-10 1E-7 1E-4 1E-1 1E+2 1E+5
nothing
4mm polyeth foil
full poly
Intra-Nuclear Cascade models• In MCNPX are 3 models (above energy 150 MeV):
– Bertini
– CEM
– Isabel
• The differences are up to 50% (our detectors).
-25
-20
-15
-10
-5
0
5
10
15
20
25
30
1 2 3 4 5 6 7 8 9 10
Foil and reaction
mo
del
/ber
tin
i-1
(in
%)
cem
isabel
-40
-30
-20
-10
0
10
20
30
40
50
60
1 6
11
16
21
26
31
36
41
46
51
56
61
Foils and reactions of the Rez group
mo
del
/BE
RT
INI-
1 (i
n %
)
CEM/BERTINI-1
ISABEL/BERTINI-1
Neutrons per proton, criticality,..• Experimentally we cannot
measure these.• For 1.5 GeV experiment,
neutron production :– 29 in nuc. Interactions– 8 in (n,xn)– 14 prompt fission.
• Together 54 neutrons per 1 proton.
• Without box 49 neutrons, box reflects back 10% of them.
• KCODE calculations for criticality :– k=19.2%
• k was calculated also by S.R. Hashemi-Nezhad - 22%.
• If we add polyethylene wall ath the back, k stays the same.
Comparison with experiment
• The Greek group measures the ratios of neutrons inside and outside the box.
• Calculated results do not agree with experiment.
1E-07
1E-06
1E-05
1E-04
1E-03
1E-02
1E-01
1E+00
1E-10 1E-08 1E-06 1E-04 1E-02 1E+00 1E+02 1E+04
Energy [MeV]
Nne
utro
ns
on the target
under Cd
outside box
Density of polyethylene ?
density 0.35kg/l
1E-7
1E-6
1E-5
1E-4
1E-3
1E-2
1E-1
1E+0
1E-10 1E-8 1E-6 1E-4 1E-2 1E+0 1E+2 1E+4
Energy [MeV]
Nn
eutr
on
s
on the target
under Cd
outside box
density 0.7 kg/l
1E-7
1E-6
1E-5
1E-4
1E-3
1E-2
1E-1
1E+0
1E-10 1E-8 1E-6 1E-4 1E-2 1E+0 1E+2 1E+4
Energy [MeV]
Nn
eutr
on
s
on the target
under Cd
outside box
Group from Poland
• No comparison with experiment yet.
• Cross-sections only for 2 reactions (+2 stable isotopes).
• Y detectors at places :
Radial
1.00E-06
1.00E-05
1.00E-04
1 2 3 4 5
n,gamma
n,2n
The numbers on the drawings agree witch those in table 1.
1 3 4 52
1
23
45
67 8 9 10
11
Longitudinal
1.00E-07
1.00E-06
1.00E-05
1.00E-04
1 2 3 4 5
n,gamma
n,2n
Group from Řež
• 4 detector types• A lot of cross-section
libraries• Trends in ratios
experiment/simulation are seen
• 3 GeV experiment would confirm these trends
d)
0.0
0.5
1.0
1.5
2.0
2.5
0 5 10 15Radial distance from the target axis R [cm]
exp
/sim
Au196 1.0 GeV Au196 1.5 GeV Au196 0.7 GeV
c)
0.0
0.5
1.0
1.5
2.0
2.5
0 5 10 15Radial distance from the target axis R [cm]
exp
/sim
Au194 1.0 GeV Au194 1.5 GeV Au194 0.7 GeV
b)
0.0
0.5
1.0
1.5
2.0
2.5
-10 0 10 20 30 40 50Position along the target X [cm]
exp
/sim
Au196 1.0 GeV Au196 1.5 GeV Au196 0.7 GeV
a)
0.0
0.5
1.0
1.5
2.0
2.5
-10 0 10 20 30 40 50Position along the target X [cm]
exp
/sim
Au194 1.0 GeV Au194 1.5 GeV Au194 0.7 GeV
Comparison between experiment and simulations
194Au 196Au
Rad
ial d
istr
ibu
tion
Lon
gitu
din
al d
istr
ibu
tion
Longitunidal direction
0
0.5
1
1.5
2
2.5
0 10 20 30 40 50 60
l [cm]
EX
P/C
EM
24Na
196Au
194Au
206Bi
58Co
6 MeV
8 MeV
11 MeV
23 MeV23 Mev
Radial direction
0
1
2
3
4
5
6
0 5 10 15
r [cm]
EX
P/C
EM
24Na
196Au
194Au
206Bi
58Co6 MeV
8 MeV
11 MeV
23 MeV 23 MeV
Experiment: Ep = 1.5 GeV
1.5 GeV -different shape of radial distribution for experiment and simulation
0.7 GeV, 1.0 GeV - the similar shape of radial distribution for experiment and simulation
Clear dependence on reaction energy threshold ↔ on the neutron energy
Longitudinal distribution – small differences, maybe done by not included protons
Radial distribution – big differences, description is worse for neutrons with higher energy
ratios normalized on first foil
Radial distribution 0.7 GeV
0.700.800.901.001.101.201.301.401.50
0 2 4 6 8 10 12
r [cm]
EX
P/S
IM 196Au
194Au
Radial distribution 1.0 GeV
0.70
0.80
0.90
1.00
1.10
1.20
1.30
1.40
1.50
0 2 4 6 8 10 12
r [cm]
EX
P/S
IM 196Au
194Au
Radial distribution for 0.7 GeV and 1.0 GeV
1) Very small differences of shape2) Maybe increase with energy?
Conclusions:
Very important: 1) To analyze 2 GeV experiment 2) To make 3 GeV experiment
0
0.2
0.4
0.6
0.8
1
1.2
0 500 1000 1500 2000
Beam energy [GeV]
EX
P/S
IM 196Au
194Au
Necessary systematic of experiments with different beam energy
Dependence of EXP/SIM ratios for firstradial foil on beam energy