erna: measurement and r-matrix analysis of 12 c( ) 16 o daniel schürmann university of notre dame...
DESCRIPTION
Recoil Separator ERNA: an alternative approach to measure the reaction 12 C( ) 16 O Requirements angular / energy acceptance knowledge of charge state distribution high purity of incoming 12 C beam suppression of 12 C beam ion source dynamitron tandem accelerator ion beam purification Gastarget & Post-Stripper singlet 60° magnet E - E telescope recoil separation doublet analysing magnet recoil focussing Wien filter magnetic qu adrupole multiplets triplet side FC Advantages high efficiency ~p q measure tot independent of ‘s (mostly) background free -ray coincidences possible N recoils detected = N projectiles n target T ERNA p qTRANSCRIPT
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ERNA: Measurement and R-Matrix analysis of 12C()16O
Daniel SchürmannUniversity of Notre Dame
Workshop on R-Matrix and Nuclear Reactions in Stellar Hydrogen and Helium BurningLa Fonda, Santa Fe, NM
April 21 – 23, 2008
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1212C(C())1616OO„The holy grail of nuclear astrophysics“ (W. Fowler)„The holy grail of nuclear astrophysics“ (W. Fowler)
Cascades
E1,E2,E0 ?
6.05?
ERNA
- mea
sure
men
ts
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Recoil Separator ERNA:an alternative approach to measure the reaction 12C()16O
Requirements• angular / energy acceptance• knowledge of charge state distribution• high purity of incoming 12C beam• suppression of 12C beam
ion source dynamitron
tandem accelerator
ion beam purification
Gastarget & Post-Stripper
singlet
60° magnet
E-E telescope
recoil separation
doublet
analysing magnet
recoil focussing
Wien filter
Wien filter Wien filter
Wien filter
magnetic quadrupole multiplets
triplet
side FC
Advantages•high efficiency ~pq
•measure tot•independent of ‘s•(mostly) background free•-ray coincidences possible
Nrecoils detected = Nprojectiles ntarget TERNA pq
![Page 4: ERNA: Measurement and R-Matrix analysis of 12 C( ) 16 O Daniel Schürmann University of Notre Dame Workshop on R-Matrix and Nuclear Reactions in Stellar](https://reader035.vdocument.in/reader035/viewer/2022062523/5a4d1ae67f8b9ab05997906b/html5/thumbnails/4.jpg)
Recoil Separator ERNA:an alternative approach to measure the reaction 12C()16O
Requirements• angular / energy acceptance• knowledge of charge state distribution• high purity of incoming 12C beam• suppression of 12C beam
ion source dynamitron
tandem accelerator
ion beam purification
Gastarget & Post-Stripper
singlet
60° magnet
E-E telescope
recoil separation
doublet
analysing magnet
recoil focussing
Wien filter
Wien filter Wien filter
Wien filter
magnetic quadrupole multiplets
triplet
side FC
Advantages•high efficiency ~pq
•measure tot•independent of ‘s•(mostly) background free•-ray coincidences possible
Nrecoils detected = Nprojectiles ntarget TERNA pq
![Page 5: ERNA: Measurement and R-Matrix analysis of 12 C( ) 16 O Daniel Schürmann University of Notre Dame Workshop on R-Matrix and Nuclear Reactions in Stellar](https://reader035.vdocument.in/reader035/viewer/2022062523/5a4d1ae67f8b9ab05997906b/html5/thumbnails/5.jpg)
Density Determination• Energy Loss (Stopping Power)• 7Li()11B• 7Li(´)7Li*
GastargetGastarget
Position [mm]-150 -100 -50 0 50 100 150
Aus
beut
e [a
.U.]
-510
-410
-310
-210
-110Messung upstream (d=2 mm)
Messung downstream (d=2 mm)
Messung ausserhalb (d=4 mm)
Integrand
![Page 6: ERNA: Measurement and R-Matrix analysis of 12 C( ) 16 O Daniel Schürmann University of Notre Dame Workshop on R-Matrix and Nuclear Reactions in Stellar](https://reader035.vdocument.in/reader035/viewer/2022062523/5a4d1ae67f8b9ab05997906b/html5/thumbnails/6.jpg)
Recoil Separator ERNA:an alternative approach to measure the reaction 12C()16O
Requirements• angular / energy acceptance• knowledge of charge state distribution• high purity of incoming 12C beam• suppression of 12C beam
ion source dynamitron
tandem accelerator
ion beam purification
Gastarget & Post-Stripper
singlet
60° magnet
E-E telescope
recoil separation
doublet
analysing magnet
recoil focussing
Wien filter
Wien filter Wien filter
Wien filter
magnetic quadrupole multiplets
triplet
side FC
Advantages•high efficiency ~pq
•measure tot•independent of ‘s•(mostly) background free•-ray coincidences possible
Nrecoils detected = Nprojectiles ntarget TERNA pq
![Page 7: ERNA: Measurement and R-Matrix analysis of 12 C( ) 16 O Daniel Schürmann University of Notre Dame Workshop on R-Matrix and Nuclear Reactions in Stellar](https://reader035.vdocument.in/reader035/viewer/2022062523/5a4d1ae67f8b9ab05997906b/html5/thumbnails/7.jpg)
Charge State DistributionCharge State Distribution
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Charge State DistributionCharge State Distributionelectron losselectron loss
pressure p[mbar]0 1 2 3 4 5
prob
abili
ty
0
0.2
0.4
0.6
0.8
1
pressure p[mbar]0 1 2 3 4 5
prob
abili
ty
0
0.2
0.4
0.6
0.8
1
calculatedqrecoil = qcarbon
measured
qrecoil = qcarbon +2
12C3+ 16O6+
Ecm=3.2 MeV
pressure [mbar]
0 1 2 3 4 5
prob
abili
ty [%
]
0
10
20
30
40
50
60
70
80
90
100q=3+q=4+q=5+q=6+q=7+
16 3+ 4O 9.60 MeV in He
inte
grat
e
Solution:post-target stripper
![Page 9: ERNA: Measurement and R-Matrix analysis of 12 C( ) 16 O Daniel Schürmann University of Notre Dame Workshop on R-Matrix and Nuclear Reactions in Stellar](https://reader035.vdocument.in/reader035/viewer/2022062523/5a4d1ae67f8b9ab05997906b/html5/thumbnails/9.jpg)
Recoil Separator ERNA:an alternative approach to measure the reaction 12C()16O
Requirements• angular / energy acceptance• knowledge of charge state distribution• high purity of incoming 12C beam• suppression of 12C beam
ion source dynamitron
tandem accelerator
ion beam purification
Gastarget & Post-Stripper
singlet
60° magnet
E-E telescope
recoil separation
doublet
analysing magnet
recoil focussing
Wien filter
Wien filter Wien filter
Wien filter
magnetic quadrupole multiplets
triplet
side FC
Advantages•high efficiency ~pq
•measure tot•independent of ‘s•(mostly) background free•-ray coincidences possible
Nrecoils detected = Nprojectiles ntarget TERNA pq
![Page 10: ERNA: Measurement and R-Matrix analysis of 12 C( ) 16 O Daniel Schürmann University of Notre Dame Workshop on R-Matrix and Nuclear Reactions in Stellar](https://reader035.vdocument.in/reader035/viewer/2022062523/5a4d1ae67f8b9ab05997906b/html5/thumbnails/10.jpg)
AcceptanceAcceptance
Bad tuning
Good tuning
Matrix calculations:COSY INFINITY
These just give STARTING values:
Tune Separator with 16O pilot beam!
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Angular acceptanceAngular acceptance
Ecm = 2.4 MeV qrec = 6+
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Angular AcceptanceAngular Acceptance
[mrad]ϑ-40 -30 -20 -10 0 10 20 30 40
Tran
smis
sion
0
0.2
0.4
0.6
0.8
1
Bext. Triplet changed by 0.7% !
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Energy AcceptanceEnergy Acceptance
-20 -15 -10 -5 0 5 10 15 200.0
0.2
0.4
0.6
0.8
1.0
trans
mis
sion
E / E0 [ % ] experimentalcalculated
by variation of beam energy
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Recoil Separator ERNA:an alternative approach to measure the reaction 12C()16O
Requirements• angular / energy acceptance• knowledge of charge state distribution• high purity of incoming 12C beam• suppression of 12C beam
ion source dynamitron
tandem accelerator
ion beam purification
Gastarget & Post-Stripper
singlet
60° magnet
E-E telescope
recoil separation
doublet
analysing magnet
recoil focussing
Wien filter
Wien filter Wien filter
Wien filter
magnetic quadrupole multiplets
triplet
side FC
Advantages•high efficiency ~pq
•measure tot•independent of ‘s•(mostly) background free•-ray coincidences possible
Nrecoils detected = Nprojectiles ntarget TERNA pq
![Page 15: ERNA: Measurement and R-Matrix analysis of 12 C( ) 16 O Daniel Schürmann University of Notre Dame Workshop on R-Matrix and Nuclear Reactions in Stellar](https://reader035.vdocument.in/reader035/viewer/2022062523/5a4d1ae67f8b9ab05997906b/html5/thumbnails/15.jpg)
Typical E-E Spectra
Ecm = 2.2 MeVsuppression ~ 1·1011
Ecm = 4.4 MeVsuppression ~ 3·109
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1212C(C())1616O total cross sectionO total cross section
[MeV]cmE2 2.5 3 3.5 4 4.5 5
[nb]
σ
-110
1
10
210
310
410
-1
+2+4 +4
+2
+0
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Comparison ERNA <-> Calculation Kunz. et al. (Kunz R. et al., ApJ 567, 643-650 2002)
Basic resonance properties well reproducedClear need for improved (new) R-Matrix calculation
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New R-Matrix codeNew R-Matrix code
rewritten from scratchrewritten from scratch utilizing classical formalism ORutilizing classical formalism OR
C. Brune’s alternative C. Brune’s alternative parameterizationparameterization
all relevant channels includedall relevant channels included-decay (-decay (1616N), (N), (), (), (,,)) [external (direct) [external (direct) capture]capture]
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Acrobat-Dokument
[MeV]E0.5 1 1.5 2 2.5
N
1
10
210
310
410
510
16N decay
[MeV]cmE0.5 1 1.5 2 2.5 3
[keV
-bar
n]E
1S
1
10
210
E1 calcFey (Turntable)Fey (Eurogam)Kunzouellet
Fit to E1 groundstate data Assuncao et al.
Scattering data taken from:D’Agostino Bruno M. et al.,Nuovo Cimento A27, 1 (1975)
Plaga R. et al.,Nucl. Phys. A465, 291 (1987)
Calculation with parameters from:Tischhauser P. et al.,Phys. Rev. Lett. 88, 072501 (2002)
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ResultsResults
(E)=S(E)·E-1 · e-2
•Compare to old R-Matrix calculation [Kunz et al., APJ 567, 643-650 (2002)]
•New data available: capture to Ex=6.05 MeV Level (DRAGON)
•No sign of „missing amplitude“
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• total cross section data available in broad energy range fit needs improvements fit to total data should correlate different amplitudes
• Monte Carlo Error Estimate• Normalization (e.g. different E1 GS data sets)
Outlook
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ERNA CollaborationERNA CollaborationBochumBochumA. Di LevaA. Di LevaR. KunzR. KunzD. RogallaD. RogallaC. RolfsC. RolfsF. SchümannF. SchümannD. SchürmannD. SchürmannF. StriederF. StriederH.-P. TrautvetterH.-P. Trautvetter
Naples & CasertaN. De CesareL. GialanellaA. D’OnofrioG. ImbrianiC. LubrittoA. OrdineV. RocaM. RomanoF. Terrasi
Thank you!