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Possibilities for Nuclear Physics at the Madrid Tandem. 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?. Hans O. U. Fynbo Department of Physics and Astronomy University of Aarhus, Denmark. ?. Nuclear chart.
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Possibilities for Nuclear Physics at the Madrid Tandem • 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? Hans O. U. Fynbo Department of Physics and Astronomy University of Aarhus, Denmark
? 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) + c E,G Direct ? a+(bc) Sequential Energy (ab) + c Y : a+b+c X 12C* 8Be(2+)+a a+a+a 9B 8Be+p, 5Li+aa+a+p 12C* 8Begs+a a+a+a 31Cl*30S+p 29P+2p (ab) + c Break-up to Multi-particle Final States Initial state X : Some (nuclear) state Final state Y : Three (or more) particles
E,G Questions What is : • The mechanism • of the break-up? • -Sequential or • direct? • -Importance of • different channels • Relation to state • structure • E,G ? • -Often difficult to • Measure • Spin-parity? • - Selection rules • The structure • of the state? • -Cluster states • -Many-body states • Assymptotic • Spectra • -Observable • Energy and angular • correlations
15.9572 11B+p 15.11 1+ 14.08 4+ 13.35 2- 12.71 1+ 11.83 2- 10.84 10.27 1- 10.3 0,2+ 2+ 9.641 3- 0+ 7.6542 7.377 0+ 7.285 7.285 a+a+a a+a+a 12C 8Be+a Width Decay Structure
ISOL beam • Low energy isotope separated beam • Can be stopped in C-foil • Well-defined source Previous studies using this setup 31Ar 2p Nucl. Phys. A677 (2000) 38 9C 2p Nucl. Phys. A692 (2001) 427 12N 3a Under analysis R.R.Betts IL NOUVO CIMENTO 110A (1997) 975 • Modern segmented Si-Detectors • Large Solid Angle • detect all particles • High Segmentation • no summing • Modern segmented Si-Detectors • Large Solid Angle • detect all particles • High Segmentation • no summing
Region probed by b-decay 0+, 1+,2+ Region probed by delayed a-emission 12C from the b-decay of 12B Latest evaluation 1990
Dalitz plot E2 E3 E1 Dalitz plot for 3a Q h1= E1 /Q h2= (E1 +2 E2)/Q
Dalitz plot E2 E3 E1 The 12.71MeV state: Dalitz plots Phase space Data Simultaneous stepwise
Simultaneous Stepwise
a a-8Be a 8Be T a-a • Classical calculation • No ang.mom. Included • Need unphysical S PRL 20 (1968) 1178 a Coulomb interaction between 1st and 2nd emitted as neglected !!!!
2+ state Towards the Astrophysical Region 0+ state 0+ state including interference with ghost anomaly
b-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
Peaks in p-spectrum State in 12C Peaks in a-spectrum State in 9B 10B(3He,p3a)
10B(3He,p3a) Ea Ep 10Be(3He,n3a)... 1966 Ep
6Li(6Li,3a) Ea • Reaction mechanism • FSI Coulomb effects Ea 1968
8Be (0+) 9Be (3He,3a) Ea Ea • Reaction mechanism • FSI Coulomb effects 1965
13C(3He,4a) Ea Ea Also : 7Li (d,naa), 10Be(3He,naaa), 6Li (3He,paa) 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.