Coexistence of shell structure and cluster structure in 20 Ne
197837 pages
Published in:
- Nucl.Phys.A 303 (1978) 217-253
- Published: 1978
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Abstract: (Elsevier)
The coexistence of a shell-model aspect and an α-cluster aspect in 20 Ne is studied using a model space which is constructed by combining a (1s0d) 4 shell-model space and a microscopic 16 O core plus α-cluster model space. A method is given for calculating matrix elements of one- and two-body operators between basis states of this model space. We assume a microscopic Hamiltonian which involves a two-body effective interaction consisting of central, L - S and Coulomb potentials. The states below the α-decay threshold are obtained by diagonalizing the Hamiltonian, while for those above the threshold, the α- 16 O scattering phase shifts are calculated by solving a coupled scattering equation variationally under an appropriate boundary condition. Energy levels, reduced α-widths and B (E2) values are calculated and compared with experimental values. Three K π = 0 + bands built on 0 1 + (g.s.), 0 2 + (6.72 MeV) and 0 4 + (8.6 MeV) states and the first K π = 0 − band on the l 1 − state at 5.79 MeV are successfully described by the present model.References(57)
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