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Possibilities for Nuclear Physics at the Madrid
Tandem
Hans O. U. FynboDepartment of Physics and AstronomyUniversity of Aarhus, Denmark
•Nuclear physics and astrophysics of light nuclei A=9 and A=12•Studies at CERN of the CSIC group•What could be done at a tandem?
Nuclear chart
N = Z
?
A=9 and A=12 Nuclei
– “Exact” A-body calculations possible for A12 (soon)
• Shell-model states• Molecular-cluster states
– Break-up mechanism not fixed by kinematics
• How does three particles tunnel?
• Fundamental QM problem
– Crucial for bridging the • A=5 and A=8 gaps in Big Bang
and Stellar nuclear synthesis.
Ab-initio Monte-Carlo calculations for A12
Model Predictions (eff. Int.)
The triple- reaction rate
Break-up to Multi-particle Final States
Initial state X : Some (nuclear) stateFinal state Y : Three (or more) particles
E,
X Y : a+b+c
En
erg
y
(ab) + cDirect
(ab) + c
Sequential
12C* 8Begs+31Cl* 30S+p 29P+2p
(ab) + c
?
12C* 8Be(2+)+
a+(bc)
9B 8Be+p, 5Li+ p
Questions E,
•E, ? -Often difficult to Measure
•Spin-parity? - Selection rules
•The structure of the state? -Cluster states -Many-body states
•The mechanism of the break-up? -Sequential or direct? -Importance of different channels
•Relation to state structure
What is :
•Assymptotic Spectra-Observable-Energy and angular correlations
0,2+
8Be+
0+
3-
1-
2-
10.27
9.641
10.3
10.84
11.83
7.6542
12.71 1+
14.08
13.35
15.11
2-
4+
1+
7.377
15.9572
12C
11B+p
0+
2+
7.285
++7.285
Width Decay Structure
Elevel /MeV J level 8Be (0+)
8Be (2+)
7.6542(15)
0+ 8.5(1.0) eV >96% <4%
9.641(5) 3- 34(5) keV >96% <4%
10.3(3) 0+ 3.0(7) MeV >90% <10%
10.849(25)
1- 315(25)keV Strong Yes
11.828(16)
2- 260(25)keV No Yes
12.710(6) 1+ 18.1(2.8) eV No Yes
13.352(17)
2- 375(40)keV No Yes
14.083(15)
4+ 258(15)keV 17(4)%
83(4)%
15.110(3) 1+ 43.6(1.3) eV No Yes
ISOLDE @ CERN
– Modern segmented Si-Detectors
• Large Solid Angle– detect all particles
• High Segmentation– no summing
Previous studies using this setup31Ar 2p Nucl. Phys. A677 (2000) 389C 2p Nucl. Phys. A692 (2001) 42712N 3 Under analysis
R.R.Betts IL NOUVO CIMENTO 110A (1997) 975
ISOL beam• Low energy isotope
separated beam• Can be stopped in C-foil • Well-defined source
– Modern segmented Si-Detectors
• Large Solid Angle– detect all particles
• High Segmentation– no summing
L. Fraile
12C from the -decay of 12B
Latest evaluation 1990
Region probed by
-decay 0+, 1+ ,2+
Region probed by delayed -emission
Dalitz plot for 3
E1
E2 E3
Dalitz plot
= E/Q= (E+2 E)/Q
Q
Simultaneous stepwise
Data
The 12.71MeV state: Dalitz plots
Phase space
E1
E2 E3
Dalitz plot
Stepwise
Simultaneous
T
-8Be
-
8Be
Coulomb interaction between 1st and 2nd emitted s neglected !!!!
PRL 20 (1968) 1178
• Classical calculation• No ang.mom. Included• Need unphysical S
Towards the Astrophysical Region
0+ state
2+ state
0+ state includinginterference with ghost anomaly
The triple- reaction rate
-decay summary
• Selection rules pick out specific states among possibly many (spin + isospin)• Particles from breakup of unbound states fed in the decay emitted from rest• Point source • Thin host -> reduced energy loss
• Certain states cannot be produced• Time structure of events can be very peaked• Yield is often very limited• Very restricted access to beam
10B(3He,p3)
Peaks in p-spectrum State in 12CPeaks in -spectrum State in 9B
10B(3He,p3)
10Be(3He,n3)...
E
Ep
Ep1966
6Li(6Li,3)
• Reaction mechanism• FSI Coulomb effects
E
E
1968
9Be (3He,3)
• Reaction mechanism• FSI Coulomb effects
8Be (0+)
E
E
1965
13C(3He,4)
Also : 7Li (d,n), 10Be(3He,n), 6Li (3He,p)
E
E
1965
Summary• To study exotic short lived nuclei new effective detector arrays have been developed• New analysis methods
• A number of reactions suitable for tandems exist which were last visited >30 years ago.
• Huge potential for extracting interesting and very relevant information on light nuclei.