https://doi.org/10.1140/epja/s10050-024-01302-w
Regular Article - Theoretical Physics
Shape of 
1
RIKEN Nishina Center, Wako, 351-0198, Saitama, Japan
2
Department of Computer Science, Fukuyama University, 729-0292, Fukuyama, Hiroshima, Japan
3
Department of Information Engineering, National Institute of Technology (KOSEN), Kagawa College, 769-1192, Mitoyo, Kagawa, Japan
a
masaaki.kimura@ribf.riken.jp
Received:
8
January
2024
Accepted:
13
March
2024
Published online:
29
March
2024
We have examined the hypothesis by Bijker and Iachello who asserted that has an internal structure with three 
particles arranged in a triangular shape, leading to the formation of the ground rotational band consisting of 
, 
, 
, 
and 
states. Following this idea, we reconstructed the intrinsic shape of using experimental electron scattering data with minimal theoretical assumption. Our sole assumption was that the observed 
, 
, 
, and 
states share a common internal structure, forming a rotational spectrum. The reconstructed intrinsic density showed a beautiful triangular shape with three peaks implying cluster formation in the ground band.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. 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.
