https://doi.org/10.1140/epja/s10050-025-01499-4
Review
Progress in the studies of cluster resonances by antisymmetrized molecular dynamics
1
Department of Computer Science, Fukuyama University, 729-0292, Fukuyama, Japan
2
Information Processing Center, Kitami Institute of Technology, 090-8507, Kitami, Japan
3
National Institute of Technology (KOSEN), Matsue College, 690-8518, Matsue, Japan
4
RIKEN Nishina Center, 351-0198, Wako, Japan
5
Department of Physics, Kyoto University, 606-8502, Kyoto, Japan
a
taniguchi-y@fukuyama-u.ac.jp
Received:
22
October
2024
Accepted:
2
January
2025
Published online:
6
February
2025
This review reports recent advancements in the study of cluster resonances using Antisymmetrized Molecular Dynamics (AMD). Cluster states, appearing as resonances above the particle-decay threshold, are crucial for understanding exotic cluster structures and reactions. A critical aspect of these studies is the calculation of the reduced width amplitude (RWA), which has been challenging due to the complexity of nucleon exchange between clusters. We introduce two novel methods for the computation of the RWA; the Laplace expansion and norm overlap methods. They have enabled more precise and computationally efficient calculations of RWA. We introduce their successful applications to key astrophysical nuclear reactions, such as 
and 
fusion processes, which play a vital role in stellar environments. Furthermore, we explore how these methods have advanced the study of exotic cluster structures, including the linear chain of 
clusters and the 
cluster in light nuclei.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
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.
