coulomb breakup and pairing excitation of two-neutron halo nucleus 11 li niigata university s....
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Coulomb Breakup and Pairing Excitation
of Two-Neutron Halo Nucleus 11Li
Niigata University S . AoyamaRCNP T. MyoHokkaido Univeristy K. KatoRiken K. Ikeda
S. Aoyama, K. Kato, T. Myo and K. Ikeda, PTP 107(2002).
T. Myo, S. Aoyama, K. Kato and K. Ikeda, PLB576(2003).
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Neutron Halo Structure
neutronneutron
9Li-core
Neutron Halo
9Li+n subsystem ⇒ unbound
9Li+n+n ⇒ loosely bound
n+n subsystem ⇒unbound
Borromean system
B.V. Danilin et al. PRC43, 2835(1991)
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Complex Scaled Cluster Orbital Shell Model
9Li+n+nthreshold
4He+n+n: S. Aoyama, S. Mukai, K. Kato and K. Ikeda, PTP93 (1995).
Many higher orbits
Gamow Shell Model (Complex Scaled Shell Model)N. Michel, W. Nazarewicz, M. Ploszajczak , J. Okolowicz, PRC67(2003).R. ID Betan, R.J. Liotta, N. Sandulescu, T. Vertse, PRL89(2002).
E. Balslev and J.M. Combes, Commun. Math. Phys. 22(1971), 280.J. Aguilar and J.M. Combes, Commun. Math. Phys. 22(1971), 269.
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Proof of ECR for CSM was given in
Giraud and Kato, Ann. of Phys.308(2003).
Giraud et al., J. Phys. A37(2004).
Gamow Shell Model is also based on ECM.
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Core-n: Folding potential
n-n: Minnesota(u=0.95)
V-type T-type
Cluster Orbital Shel Model (Hybrid TV model )
+ψJM=φJM(V)+φJM(T)
・ wave function
・ Core+n+n Hamiltonian
・ potential
Gaussian-type potential
VFcore-n=Vcnt +Vls
S. Aoyama, K. Kato and K. Ikeda, PTP. Suppl. No.142 (2001).
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Energy Convergence of 3/2- state in 11Li
Channel of COSM (V-type)[1] (p1/2)2
[2] (p1/2)2+ (s1/2)2
[3] ・・・・・
Channel of ECM (T-type) l=L=S=0
9Li-n potential: HN1,δ= 0.245, δp= 0.0866n-n potential: Minnesota, u=0.95
V-type
V-type T-type
+
COSM
Hybrid -TV
S. Aoyama, K. Kato and K. Ikeda, PTP. Suppl. No.142 (2001)
28 shell-like orbits (l=14)
Shell-like bases can not accurately describe halo! !
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Partners of mixed configurations of (1s1/2)2 and (0p1/2)2 in 11Li
1s1/2
0p1/2
10Li
9Li+n threshold
Ground 3/2- state
11Li
9Li+n+nthreshold
(0p1/2)2+ (1s1/2)2 + ・・・
(1s1/2)2+ (0p1/2)2 + ・・・
Excited 3/2- state
loosely bound state
three-body resonance
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Pairing excited 9Li+n+n resonance
Calculations with the Hybrid TV model
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A peak is observed at 0~1MeV in the Coulomb (E1) breakup experiments.
⇒ Soft dipole resonance?
(E1 or 1- resonance)
Neutron Halo
9Li-core
Dipole oscillation
K. Ikeda, INS Report JHP-7(1988).
P.G. Hansen and B. Jonson , EPL4(1987).
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Separation of the Strength Function for Eλ-trandition
Complex scaled Hamiltonian
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In this calculation, we deveop COSM in order to include the core excitation.
No three-body resonant states which correspond to the soft dipole mode!
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Summary(1)As an excited resonance in 11Li, by using CSM, we predict the pairing type three-body resonance at low energy region (0~ 1MeV).
(2)For the peak of the E1 strength in 11Li, we understand that the experimental peak is considered to be from the 10Li+n breakup and the 9Li+n+n breakup rather than the three-body resonance.
Next problem
We will study new Riken data.