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The $0^{+}$ states of $^{12}\mathrm{C}$ are considered within the framework of the microscopic three-$\alpha$-cluster model. The main attention is paid to accurate calculation of the width of the extremely narrow near-threshold $0^+_2$…

Nuclear Theory · Physics 2009-11-10 S. I. Fedotov , O. I. Kartavtsev , V. I. Kochkin , A. V. Malykh

Structures of excited states in $^{11}$B are investigated with a method of $\beta$-$\gamma$ constraint antisymmetrized molecular dynamics in combination with the generator coordinate method. Various excited states with developed cluster…

Nuclear Theory · Physics 2015-06-04 Tadahiro Suhara , Yoshiko Kanada-En'yo

We investigated cluster and toroidal aspects of isoscalar dipole excitations in $^{12}$C based on the shifted basis antisymmetrized molecular dynamics combined with the generator coordinate method, which can describes 1p-1h excitations and…

Nuclear Theory · Physics 2018-01-10 Yoshiko Kanada-En'yo , Yuki Shikata , Horiyuki Morita

$\alpha$-cluster excited states in $^{32}$S are investigated with an extended $^{28}$Si+$\alpha$ cluster model, in which the $^{28}$Si core deformation and rotation, and the $\alpha$-cluster breaking are incorporated. In the GCM calculation…

Nuclear Theory · Physics 2016-04-20 Yuta Yoshida , Yoshiko Kanada-En'yo , Fumiharu Kobayashi

The electric monopole ($E0$) transition strength $\rho^2$ for the transition connecting the third 0$^+$ level, a "superdeformed" band head, to the "spherical" 0$^+$ ground state in doubly magic $^{40}$Ca has been determined via $e^+e^-$…

We study the structures of the unstable Be isotopes with the theoretical method of antisymmetrized molecular dynamics. It is found that various structures of the excited states appear in the low-energy region of neutron-rich Be nuclei.…

Nuclear Theory · Physics 2009-11-07 Y. Kanada-En'yo , H. Horiuchi , A. Dote

Knowledge of the low-lying monopole strength in $\mathrm{^{12}C}$, the Hoyle state in particular, is crucial for our understanding of both the astrophysically important $3\alpha$ reaction and of $\alpha$-particle clustering. The…

The complex optical potential and inelastic form factor given by the folding model for the $\alpha+^{12}$C scattering are used to calculate the ($\alpha,\alpha'$) cross sections for the known isoscalar states of $^{12}$C in an elaborate…

Nuclear Theory · Physics 2015-06-18 Do Cong Cuong , Dao T. Khoa , Yoshiko Kanada-En'yo

The existence of the $0_3^+$ and $0_4^+$ states around 10 MeV excitation energy in ${^{12}{\rm C}}$ is confirmed by a fully microscopic 3$\alpha$ cluster model. Firstly, a GCM (generator coordinate method) calculation is performed by…

Nuclear Theory · Physics 2016-11-09 Bo Zhou , Akihiro Tohsaki , Hisashi Horiuchi , Zhongzhou Ren

We have investigated structures of the ground and excited states of $^{16}\textrm{O}$ with the method of variation after spin-parity projection in the antisymmetrized molecular dynamics model combined with the generator coordinate method of…

Nuclear Theory · Physics 2017-09-13 Yoshiko Kanada-En'yo

Isoscalar dipole transitions are a distinctive fingerprint of cluster structures. A {1^-} resonance at 7.27(10) MeV, located just below the {\alpha}-emission threshold, has been observed in the deuteron inelastic scattering reactions off…

We discuss strength of monopole excitation of the ground state to cluster states in light nuclei. We clarify that the monopole excitation to cluster states is in general strong as to be comparable with the single particle strength and…

Nuclear Theory · Physics 2011-03-23 Taiichi Yamada , Yasuro Funaki , Hisashi Horiuchi , Kiyomi Ikeda , Akihiro Tohsaki

We studied the ground and excited states of $^{12}$C based on variational calculations after spin-parity projection in a framework of antisymmetrized molecular dynamics(AMD). The calculations systematically reproduce various experimental…

Nuclear Theory · Physics 2016-08-16 Y. Kanada-En'yo

We have studied gas-like states of $\alpha$ clusters around an $^{16}$O core in $^{24}$Mg based on a microscopic $\alpha$-cluster model. This study was performed by introducing a Monte Carlo technique for the description of the THSR…

Nuclear Theory · Physics 2011-07-04 T. Ichikawa , N. Itagaki , T. Kawabata , Tz. Kokalova , W. von Oertzen

Properties of the lowest $0^{+}$ states of $^{12}\mathrm{C}$ are calculated to study the role of three-body interactions in the $\alpha$-cluster model. An additional short-range part of the local three-body potential is introduced to…

Nuclear Theory · Physics 2009-11-11 S. I. Fedotov , O. I. Kartavtsev , A. V. Malykh

To clarify the effects of $\alpha$-cluster breaking on 3$\alpha$ cluster structures in $^{12}$C, we investigate $^{12}$C using a hybrid model that combines the Brink-Bloch cluster model with the $p_{3/2}$ subshell closure wave function. We…

Nuclear Theory · Physics 2015-06-23 Tadahiro Suhara , Yoshiko Kanada-En'yo

The persistence of $\alpha+\alpha+t$ cluster configuration in the ground state of $^{11}$B is discussed. The $\alpha$ particles emitted from excited states of $^{12}$C could be utilized for cancer treatment, where the cluster states are…

Nuclear Theory · Physics 2022-02-16 Naoyuki Itagaki , Tomoya Naito , Yuichi Hirata

We investigate properties of the Generator Coordinate Method (GCM) on a collective basis of Antisymmetrized Quasi-Cluster (AQC) states to describe the cluster-shell competition in $^{20}$Ne and $^{24}$Mg due to the spin-orbit interaction.…

Nuclear Theory · Physics 2011-01-28 N. Itagaki , J. Cseh , M. Płoszajczak

We investigate geometric configurations of $\alpha$ ($^4$He nucleus) clusters in the second $J^\pi=2^+$ state of $^{12}$C, which has been discussed as a rotational band member of the second $0^+$ state, the Hoyle state. The ground and…

Nuclear Theory · Physics 2023-03-22 H. Moriya , W. Horiuchi , J. Casal , L. Fortunato

In this contribution, I will discuss two topics related to the clustering of atomic nuclei. The first is dual character of the ground state. Recently, it was pointed out that the ground states of atomic nuclei have dual character of shell…

Nuclear Theory · Physics 2016-12-12 M. Kimura