Regular Article –Theoretical Physics
Three- configurations of the second state in C
Department of Physics, Hokkaido University, 060-0810, Sapporo, Japan
2 Department of Physics, Osaka Metropolitan University, 558-8585, Osaka, Japan
3 Nambu Yoichiro Institute of Theoretical and Experimental Physics (NITEP), Osaka Metropolitan University, 558-8585, Osaka, Japan
4 RIKEN Nishina Center, 351-0198, Wako, Japan
5 Departamento de Física Atómica, Molecular y Nuclear, Facultad de Física, Universidad de Sevilla, Apartado 1065, 41080, Sevilla, Spain
6 Dipartimento di Fisica e Astronomia “G.Galilei”, Università degli Studi di Padova, via Marzolo 8, 35131, Padua, Italy
7 INFN-Sezione di Padova, via Marzolo 8, 35131, Padua, Italy
Accepted: 6 February 2023
Published online: 25 February 2023
We investigate geometric configurations of (He nucleus) clusters in the second state of C, which has been discussed as a rotational band member of the second state, the Hoyle state. The ground and excited and states are described by a three- cluster model. The three-body Schrödinger equation with orthogonality conditions is accurately solved by the stochastic variational method with correlated Gaussian basis functions. To analyse the structure of these resonant states in a convenient form, we introduce a confining potential. The two-body density distributions together with the spectroscopic information clarify the structure of these states. We find that main configurations of both the second and states are acute-angled triangle shapes originating from the Be() configuration. However, the components in the second state become approximately 2/3 because the Be subsystem is hard to excite, indicating that the state is not an ideal rigid rotational band member of the Hoyle state.
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