Nucleon transfer reaction in low-energy a 6He collisions and continuum structures of 10Be

1
Nucleon transfer reaction in low-energy a6He
collisions and continuum structures of 10Be
Unified studies from the nuclear structures and
the nuclear reactions

• M. Ito, K. Yabana
• Institute of Physics, University of Tsukuba
• K. Kato
• Div. of Phys., Grad. Sc. of Sci., Hokkaido Univ
• K. Ikeda
• Institute of physical and chemical research, RIken

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Introduction
Ex.
g.s.

• Cluster structure (NZ)
• 8Be 2a, 12C 3a, 20Ne a16O
• Clusters Valence neutrons
• Be 2aXn Molecular Orbital
• C 3aXn Linear chain, D3h Symmetry
• N. Itagaki et al.
• Ne a16OXn l3 deformation
• W. von. Oertzen

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Dynamics in the Two cores XN system
ER, G
Collisions
s (E), ds/dW
Decays
Res.
Breakup
Excitations
Nuclear Reactions
G.S.
Should be combine !!
Nuclear Structures
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Be isotopes ( a a n n . )

• Low-lying states Molecular Orbital

10Be (p-)2
12Be (p-)2 (s)2
p-
s
Clustering !!

• Resonant states 6He or 8He ??

• Be ? He He
• M. Freer et al.
• Saito et al.
• a6He collisions
• R. Raabe et al.

10Bea 6He
12Be6He6He
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Our approach ( 10Beaann )

• Description of the internal and asymptotic states
• Generalized Two-center Cluster Model (GTCM)
• Resonance parameters in compound system
• Absorbing-kernels in Generator Coordinate
  (AGC)
• ( Absorbing Boundary Condition )
• Reaction cross section
• Kohn-Hulthen-Katos method (KHK)
• ( Incident and exit channels )

A.O.
M.O.
?i W(R)
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Our Model ( 10Be a a n n )
I x L J
L
PJpMK
OR
I
Mol. Orb.
Weak coupling



PJpMK

...

0Pi (ix,y,z)
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Generalized Two-center Cluster Model ( I )

• Basis function
• FJpK(n,S) PJpMK A fL(a) fR(a) c(n) S
• f(a) a particle, (0s)4 in H.O.
• c(n) Neutrons ( Left or Right, 0px,0py,0pz )

S
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Generalized Two-center Cluster Model ( II )

• Total wave function
• YJp SS SKn f(n,S,K) FJpK(n,S)
• SS GJp(S)
• Eigenvalue Problem
• lt FJpK(n,R) H E YJp gt 0
• Adiabatic Energy Surfaces
• lt FJpK(n,S) H E(S) GJp(S) gt 0

( H S t i S v ij )
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Adiabatic energy surfaces (Volkov No2. G3RS)

• Red Dots

a 6He ( I ) LJ
a 6He(01)

• Blue Dots

5He(I1) 5He (I2) LJ
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Results of GTCM AGC for 10Be(0)
Energy spectra ( Jp 0 )
Adiabatic surfaces (Jp 0)
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Results of GTCM AGC KHK for 10Be(0)
(a 6He) (5He 5He) 6He?01,21,02,22,
5He?3/2-,1/2-
a6He(01) ? a6He(21)
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Crossing of adiabatic surfaces in 10Be
Jp 1- (Pseudo Crossing)
Jp 0 (Gradual Coupling)
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Coupled ch. In adiabatic basis for 10Be(0)
a6He g.s. Elastic scattering
Adiabatic process is dominant.
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Coupled ch. In adiabatic basis for 10Be(1-)
a6He g.s. Elastic scattering
Non-adiabatic transition strongly occurs.
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Summary and Conclusion

• 1. Studies on Clustering and the valence nucleons
• It is very interesting and important to study
  the nuclear structures and their enhancements in
  reactions.
• 2. GTCM AGC KHK
• It is possible to study from the point of
  view of
• the nuclear reaction and structures.
• 3. Applications to 10Be ? Systematic studies !!
• Excitation of 03 and 04 ? Intrinsic
  structures
• 1- ? Non-adiabatic process is dominant due to
  
• the appearance of a 6He clusters.