Abstract

Abstract We study an effect of the expansion of the core nucleus to the radius of 23 O and 24 O. In order to clarify the importance of the expansion of the core, we perform two calculations; an m -scheme approach of the cluster-orbital shell model for O 16 + X n systems and a simplified model approach for core + n and core + 2 n systems. We calculate the energy and r.m.s. radius of oxygen isotopes by using these two approaches and discuss the effect of the expansion of the 16 O-core and the relation to the presence of valence neutrons. Furthermore, we propose a new approach of a coupled-channel model including a particle–hole excitation in the 16 O-core and the motion of the valence neutron.

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