Elsevier

Nuclear Physics A

Volume 303, Issues 1–2, 26 June–3 July 1978, Pages 217-253
Nuclear Physics A

Coexistence of shell structure and cluster structure in 20Ne

https://doi.org/10.1016/0375-9474(78)90052-0Get rights and content

Abstract

The coexistence of a shell-model aspect and an α-cluster aspect in 20Ne is studied using a model space which is constructed by combining a (1s0d)4 shell-model space and a microscopic 16O 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-16O 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 Kπ = 0+ bands built on 01+(g.s.), 02+(6.72 MeV) and 04+(8.6 MeV) states and the first Kπ = 0 band on the l1 state at 5.79 MeV are successfully described by the present model.

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