https://doi.org/10.1140/epja/s10050-023-00947-3
Regular Article –Theoretical Physics
Three-
configurations of the second
state in
C
1
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
a
moriya@nucl.sci.hokudai.ac.jp
Received:
12
December
2022
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.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.