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

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### Nucleon transfer reaction in low-energy a+6He 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

Introduction

g.s.

- Cluster structure (N=Z)

8Be = 2a, 12C = 3a, 20Ne = a+16O

- Clusters + Valence neutrons

Be = 2a+Xn : Molecular Orbital

C = 3a+Xn : Linear chain, D3h Symmetry

N. Itagaki et al.

Ne = a+16O+Xn : l=3 deformation

W. von. Oertzen

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

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.

a+6He collisions

R. Raabe et al.

10Be=a +6He

12Be=6He+6He

Our approach ( 10Be=a+a+n+n )

- 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-Kato’s method (KHK)

( Incident and exit channels )

A.O.

M.O.

ｰi W(R)

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

Generalized Two-center Cluster Model ( II )

- Total wave function
- YJp= SS SKnf(n,S,K) FJpK(n,S)
- = SS GJp(S)
- Eigenvalue Problem

<FJpK(n,R) | H – E | YJp> = 0

- Adiabatic Energy Surfaces

<FJpK(n,S) | H – E(S) | GJp(S)> = 0

( H = S t i + S v ij )

Adiabatic energy surfaces (Volkov No2. + G3RS)

- Red Dots

[ a + 6He ( I ) ] LJ

a + 6He(01+)

- Blue Dots

[5He(I1) + 5He (I2)]LJ

Results of GTCM + AGC + KHK for 10Be(0+)

(a + 6He) + (5He + 5He) :

6He→01+,21+,02+,22+, 5He→3/2-,1/2-

a+6He(01+) → a+6He(21+)

Coupled ch. In adiabatic basis for 10Be(0+)

a+6He g.s. Elastic scattering

Adiabatic process is dominant.

Coupled ch. In adiabatic basis for 10Be(1-)

a+6He g.s. Elastic scattering

Non-adiabatic transition strongly occurs.

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.

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