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 ^12C+ ^12C and ^12C+ ^16O 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 α clusters and the ^6He cluster in light nuclei.

Extreme nuclear deformations provide great insight into the geometric formation of quantum many-body systems. In this work, the $4\alpha+2n$ linear chain is assessed in $^{18}$O. We predict excitation energies, moment-of-inertia, $\alpha$-, and $^{9}$Be-decay widths by using the antisymmetrized molecular dynamics. We show that the $K^\pi=3^-$ linear-chain states may be verified by the head-on $^{9}{\rm Be}+{}^{9}{\rm Be}$ collision experiments.

The linear-chain (LC) structure provides significant insights into quantum many-body systems with geometric configurations. In this study, 4?? + 2n LC was assessed in 18O. The excitation energies, moment of inertia, and ??- and 9Be-decay widths of the LC states were predicted using antisymmetrized molecular dynamics. We predict that there are two 4?? LC bands, K?? = 0+ and K?? = 3???, which exhibit different decay properties. We demonstrate that the K?? = 3??? LC states can be verified by the head-on 9Be + 9Be collision experiments because their states exhibited large decay widths in the 9Be + 9Be channel.

Data compilation activity in the nuclear physics has been continued for over 40 years. In addition to neutron data for safe operation of nuclear reactors, utilization of charged particle nuclear reaction data has been promoted in various fields such as science, engineering and medical appellations. The complied data are classified into two categories. One is obtained from the experimental observation and the other is the evaluation deduced from the theoretical investigation combined with the model of reaction mechanism. The nuclear reaction data is compiled from the published scientific articles including the bibliographic information in addition to the experimental one, and the data is published on the website of the organization for the data compilation. In this work, we propose that the process of the data compilation is performed on a new environment for the scientific collaboration, which is called the Unified Research Management System (URMS), and aim to make the current compilation flow correspond to the services on URMS.

The linear-chain states of14C are studied by using the antisymmetrized molecular dynamics. The calculated properties of the linear-chain states were compared with the observed data. The results for the π-bond linear-chain states reasonably agree with the observation. It is also shown that the linear-chain states decay to the excited states of10Be. Hence, we regard that this unique decay pattern is a strong evidence of the linear-chain formation.