particle-transport calculation
TRANSCRIPT
V-03-Meigo
Particle-transport Calculation
Shin-ichiro [email protected]
1. Introduction2. NMTC/JAM3. Comparison with experiment4. Summary
Introduction
Neutronics calculation are performed for MLF design with NMTC/JAMsuch as shielding and property of spallation neutron source(intensity, pulse structure, heat deposition and so on)
NMTC/JAERI: Standard calculation for JKJSpallation neutron source, Transmutation (ADS)Beam line (3N BT),Shielding calculation for 50GeV synchrotron
As for shielding, MCNPX is employed as well.
For assurance of prediction capability of the particle transport code.
NMTC/JAM and MCNPX are compared with the experimental data.
NMTC/JAM
NMTC: Nucleon Meson Transport CodeMonte Carlo technique(Intra nuclear cascade + evaporation) +inter transportBertini Cascade model (up to 3.5 GeV)
JAM: Jet AA Microscopic transport model, Phys. Rev. C61,024901(1999)Developed by research group for hadron science at JAERIApplicable energy ~1 TeVAll kind of hadrons can be transported.
NMTC/JAM: Above 3.5 GeV: JAM Below 3.5 GeV: Bertini Not only installed JAM, but also the following modified.
Revised the nucleon-nucleus cross sectionNew evaporation model (GEM: Generalized Evaporation Model)Charged particle transport in magnetic field calculation
Downsizing• PC(Linux)• DEC-Alpha(Unix)• Sun(Solaris)
History of NMTC/JAM
1951 NMTC(ORNL) Intranuclear cascade modelEvaporation model
1983 NMTC/JAERI Implemented high energy fission model1997 NMTC/JAERI97 N-nucleus cross section revised(1)
Level density parameterSimplify of geometry (CG geometry)Importance sampling
2000 NMTC/JAM JAM modelN-nucleus cross section revised (2)Transport in magnetic field
Now available:Automatic parallel calculation GG geometry QMD (Quantum Molecular Dynamics) model
NMTC/JAM code system
NMTC/JAM
OutputSpectrumResidual nuclideHeat depositionDoseDPA
MCNPor
TWODANT,DORT
Contribution forEn<20MeV,γ
Merge Output forall particle
p,π,KEn>20MeV
2 input cards required
NMTC/JAMMCNP
material, geometryDCHAIN-SP
Time (irradiation, cooling)
DCHAIN-SP
Residual activityRadiation Dose
Every physical quantitycan be obtained.
Solaris, DEC, Linux Input Target material
Geometry Particle, tally
En<20MeVγ
4
Proton-Proton Inelastic Cross Section
2 4 6 8 100
20
40
60
Ecm (GeV)
σ(m
b)
NN → N∆(1232)
NN → NN*
NN → N∆*
NN → RR
total
inelastic
String
Resonance
Cross sections for NN collision parameterized.
JAM: Inelastic cross section for NN
0.0 0.5 1.0 1.510−1
100
101
102
103
104
105
106
107
108
109
1010
mt - m0 (GeV / c2)
1/(2
πmt)d
2 σ/dm
tdy
(mb
GeV
-2c4 )
p ( 13.7 GeV ) + Au → p
E802 exp.
y = 2.1 ( ×10+6 )y = 1.7 ( ×10+4 )y = 1.3 ( ×10+2 )y = 0.9
0.0 0.5 1.0 1.510−1
100
101
102
103
104
105
106
107
108
109
1010
1011
mt - m0 (GeV / c2)
1/(2
πmt)d
2 σ/dm
tdy
(mb
GeV
-2c4 )
p ( 13.7 GeV ) + Au → π-
E802 exp.
y = 2.5 ( ×10+6 )y = 1.9 ( ×10+4 )y = 1.3 ( ×10+2 )y = 0.7
JAM: Comparison of particle production cross section (1)
JAM agrees with the experiment for 13.7-GeV proton incidence.
100 101 102 10310−9
10−8
10−7
10−6
10−5
10−4
10−3
10−2
10−1
100
101
102
103
En (MeV)
d2 σ/dΩ
dE (
mb/
sr M
eV)
p ( 3.0 GeV ) + Pb → n
Ishibashi et al.
15°
30° ( ×10-2 )60° ( ×10-4 )90° ( ×10-6 )
0 200 400 600 800 1000 120010−8
10−7
10−6
10−5
10−4
10−3
10−2
10−1
100
101
102
Eπ (MeV)
Ed3 σ/
dp3
(b/s
r/(G
eV/c
)2 c)
p ( 3.17 GeV ) + Pb → π-
En’yo et al.
45.0°
60.0° ( ×10-1 )72.5° ( ×10-2 )84.3° ( ×10-3 )
JAM: Comparison of double differential cross section (DDX)
JAM shows good agreement with experiment for 3-GeV protons.Also Bertini cascade is in good agreement so that Bertini used less than 3.5 GeV.
JAM: Decay of particle
Name kf-code mass (MeV) charge baryon
p 2212 938.3 1 1
n 2112 939.6 0 1π+ 211 139.6 1 0
π0 111 135.0 0 0π- -211 139.6 -1 0µ+ -13 105.7 1 0
µ- 13 105.7 -1 0
K+ 321 493.6 1 0
K0 311 497.7 0 0K- -321 493.6 -1 0νe 12 0.0 0 0νµ 14 0.0 0 0
η 221 547.5 0 0η’ 331 957.8 0 0
Λ0 3122 1115.7 0 1Σ+ 3222 1189.4 1 1
Σ0 3212 1192.5 0 1Σ- 3112 1197.4 -1 1
Ξ0 3322 1314.9 0 1Ξ- 3312 1321.3 -1 1Ω- 3334 1672.4 -1 1
π0 → γ + γ 100%
π+ → µ+ + νµ 100%
π- → µ- + νµ 100%
µ+ → e+ + νe− + νµ 100%
µ- → e- + νe− + νµ 100%
K0 → π+ + p 68.61%
→ π0 + π0 31.39%→ γ + γ other
K+ → µ+ + νµ 63.51%
→ π+ + π- otherK- → µ- + νµ 63.51%
→ π+ + π- otherη → γ + γ 38.9%
→ π0 + π0 + π0 31.9%
→ π+ + π- + π0 23.7%→ π+ + π- + γ other
η’ → π+ + π- + η 44.1%
→ π0 + π0 + η 20.5%
→ π+ + π- + γ 30.1%
→ γ + γ other
Λ0 → p + π- 64.1%
→ n + π0 other
Σ+ → p + π0 51.57%
→ n + π+ otherΣ0 → Λ0 + γ 100%
Σ- → n + π- 100%
Ξ0 → Λ0 + π0 100%Ξ- → Λ0 + π- 100%
Ω+ → Λ0 + K- 67.8%→ Ξ0 + π- 23.6%
→ Ξ- + π0 other
All decay mode of hadrons is taken into account.↓
Transport caluculation of all hadrons available.
102 103 1040
2000
4000
6000
Energy (MeV)
Cro
ss S
ectio
n (m
b)
208Pb (n,tot) and (n,ela)
Pearlstein
LA150
Present
EXP
100 101 102 103 1040
1000
2000
3000
Energy (MeV)
208Pb (p,non)
Bert + JAM
Pearlstein
LA150
Present
EXP
JAM: Nucleon nucleus cross section
Niita’s systematics
Good agreement with experiment
JAM: Angular distribution for elastic
Also systematics by Niita is used.
0 10 20 30 4010−4
10−3
10−2
10−1
100
101
102
103
104
105
106
CM-angle (degree)
Cro
ss S
ectio
n (m
b/sr
)
Present
LA150Exp.
208Pb (n,n) 150 MeV
12C (p,p) 1 GeV
× 0.1
0 5 10 15 2010−3
10−2
10−1
100
101
102
103
104
105
106
CM-angle (degree)
Present
Exp.
208Pb (p,p) 1 GeV
208Pb (p,p) 500 MeV
× 0.01
Good agreement with experiment
NMTC/JAM:Charged particle transport in magnetic field
Compared with DECAY-TURTLE(Beam tracking)
Phase space distribution at C-target. Phase space distribution at Hg-target.
NMTC/JAM DECAY-TURTLE NMTC/JAM DECAY-TURTLE
Hor
izon
tal
Ver
tical
NMTC/JAM gives good agreement with DECAY-TURTLE.
NMTC/JAMNew evaporation model: GEM
Good agreement with the experiment. Especially for 7Be production cross section
Spectrum of neutron produced from thick target by 0.5, 1.5 GeV pMeigo et al., Nucl. Instr. and Meth A431 (1999) 521
S01
Pilot US02
4 m P01
P02
P1
P2 Target15x15x20 cm3
Beam Dump
90º
NE102A17 x 17 x t1 cm
2.0 m.
15º
30º
60º
NE213φ 12.7x t 12.7cm
120º
150º
1.5 m. m
NE102A
C1v
KEK PS π2 beam line
Neutron spectra from Pb, W targets
NMTC/JAM Free N-N cross section (black) → Generally good agreementunderestimate in 20~80 MeV
In-medium N-N cross section(red) → Good agreementMCNPX: → Good agreement
10-1 100 101 102 10310-7
10-6
10-5
10-4
10-3
10-2
10-1
100
Ep 1.5 GeV -> W NMTC/JAM Free NNCS NMTC/JAM Inmedium NNCS MCNPX+LA150
Neutron Energy (MeV)
15゜ (x1)
30゜ (x0.1)
60゜ (x10-2)
90゜ (x10-3)
120゜ (x10-4)
150゜ (x10-5)N
eutro
n Fl
ux (/
Leth
argy
/sr/p
roto
n)10-1 100 101 102 103
10-7
10-6
10-5
10-4
10-3
10-2
10-1
100
Ep 1.5 GeV -> Pb NMTC/JAM Inmedium NNCS NMTC/JAM Free NNCS MCNPX+LA150
Neutron Energy (MeV)
15゜ (x1)
30゜ (x0.1)
60゜ (x10-2)
90゜ (x10-3)
120゜ (x10-4)
150゜ (x10-5)
Neu
tron
Flux
(/Le
thar
gy/s
r/pro
ton)
Pb 15x15x20cm W 15x15x20cm
Neutron spectrum from Fe target
101 102 10310-4
10-3
10-2
10-1
100
101
102
Neutron Energy(MeV)
Neu
tron
Flux
(n/le
thar
gy/s
r/pro
ton)
Ep 1.5 GeV, Fe target
NMTC/JAM In-medium NNCS NMTC/JAM Free NNCS NMTC/JAM Free +LA150
15°x100
30°x10
60°
90°x0.1
NMTC/JAM is adopted to estimate production of neutrons at beam line(3-N BT) and 3-GeV RCS in the present project.
Fe(15x15x20cm)irradiated by 1.5GeV protons
In-medium NNCS(red)→Remarkable good agreement
Neutron Yield
12-GeV protonon lead target.Mn-bath tech.
20 40 60
100
200
0Target length(cm)
Neu
tron
Yiel
d(n/
p)
Experiment. D10cm D20cm
NMTC/JAM D10cm D20cm
Good agreement
(p,xn) cross section at 0-deg
100 101 102 10310-3
10-2
10-1
100
101
102
103
Al(p,xn) 0-deg, Ep=1200MeV Experiment NMTC/JAM Default NMTC/JAM ISOBAR isometric ALL JAM MCNPX Default
Neutron energy (MeV)
Cro
ss s
ectio
n(m
b/sr
/MeV
)
Important property for the design of beam line around C target
By using appropriatemodel for NMTC/JAM,a good agreement is obtained.
Up to now, MCNPXoverestimates significantly by a factor of 100.
Activation experiment atAGS Spallation Taget Experiment (ASTE)
10-2
10-1
100
101
0 20 40 60 80 100
115In(n,n')115mIn
Rea
ctio
n R
ate
(1/ta
rget
nuc
leus
/pro
ton)
Distance from top of target (cm)
Hg
Foilp
1.6 GeV
12 GeV
24 GeV
, , :Experiment :LCS-2.7 :NMTC-JAM + MCNP4A
x10-27
Foil
Eth=0.3 MeV
-20 0 20 40 60 80 100 12010-30
10-29
10-28
10-27
10-26
Distance from top of target (cm)
Rea
ctio
n R
ate(
/targ
et n
ucle
us/p
roto
n) NMTC/JAM LCS 2.7 Experiment
209Bi(n,4n)206Bi,
Eth= 23 MeV24 GeV
12 GeV x0.1
Activity distribution of foils placed around the targetMercury target: φ20 cm × 130 cm
NMTC/JAM is in good agreement with experiment.
Shielding ExperimentASTE
Target
Concrete
Steel
Steel
5.0m
3.3m
Proton
3.7m
2.0m
Hg-target irradiated by 3~24-GeV proton
Code Calculation Results - Steel -
10-35
10-34
10-33
10-32
10-31
10-30
10-29
0 50 100 150 200 250
Exp.NMTC/JAM (free)NMTC/JAM (In-medium)MCNPX
Rea
ctio
n R
ate
/ Pro
ton
/ Tar
get N
ucle
us
Shield Thickness [cm]
2.83 GeVIRON
Lateral
209Bi(n,6n)204Bi
10-35
10-34
10-33
10-32
10-31
10-30
10-29
0 50 100 150 200 250
Exp.NMTC/JAM (free)NMTC/JAM (In-medium)MCNPX
Rea
ctio
n R
ate
/ Pro
ton
/ Tar
get N
ucle
us
Shield Thickness [cm]
24 GeVIRON
Lateral
209Bi(n,6n)204Bi
• NMTC/JAM (free)– Underestimation at the beginning, adequate for deep penetration
• NMTC/JAM (in-medium)– Adequate for overall
• MCNPX– Underestimation at the beginning, slightly underestimation for deep penetration
Code Calculation Results - Concrete -
10-35
10-34
10-33
10-32
10-31
10-30
10-29
0 50 100 150 200 250 300 350 400
Exp.NMTC/JAM (free)NMTC/JAM (In-medium)MCNPX
Rea
ctio
n R
ate
/ Pro
ton
/ Tar
get N
ucle
us
Shield Thickness [cm]
3 GeVConcrete
Lateral
209Bi(n,6n)204Bi
10-34
10-33
10-32
10-31
10-30
10-29
10-28
0 50 100 150 200 250 300 350 400
Exp.NMTC/JAM (free)NMTC/JAM (In-medium)MCNPX
Rea
ctio
n R
ate
/ Pro
ton
/ Tar
get N
ucle
usShield Thickness [cm]
24 GeVConcrete
Lateral
209Bi(n,6n)204Bi
• NMTC/JAM (free)– Underestimation at the beginning, slightly overestimation for deep penetration
• NMTC/JAM (in-medium)– Overestimation for deep penetration
• MCNPX– Underestimation at the beginning, adequate for deep penetration
Comparison of Code/Experiment
0.0
0.5
1.0
1.5
2.0
0 50 100 150 200 250
(n,4n)(n,5n)(n,6n)(n,7n)
Cal
c. /
Expt
.
Shield Thickness [cm]
Iron - Lateral2.83 GeVMCNPX
0.0
0.5
1.0
1.5
2.0
0 50 100 150 200 250
(n,4n)(n,5n)(n,6n)(n,7n)
Cal
c. /
Expt
.
Shield Thickness [cm]
Iron - Lateral2.83 GeVNMTC/JAM(in-medium) NMTC/JAM
Fe: very well <±20 %Concrete overestimate factor 3
MCNPXFe: underestimate factor 2Concrete underestimate factor 2
0.0
0.5
1.0
1.5
2.0
2.5
3.0
0 100 200 300 400
(n,4n)(n,5n)(n,6n)(n,7n)
Cal
c. /
Expt
.
Shield Thickness [cm]
Concrete2.83 GeVNMTC/JAM(in-medium)
0.0
0.5
1.0
1.5
2.0
2.5
3.0
0 100 200 300 400
(n,4n)(n,5n)(n,6n)(n,7n)
Cal
c. /
Expt
.
Shield Thickness [cm]
Concrete2.83 GeVMCNPX
Summary
NMTC/JAM and MCNPX can predict within a factor of 2 for shielding.
NMTC/JAM and MCNPX can predict with good accuracy for the performance of neutron source property.