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Related papers: Deformation and cluster structures in $^{12}$C stu…

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The $^{4}$He nucleus is a well bound and highly correlated four-nucleon system that is also found in form of $\alpha$-clusters as substructure in nuclear many-body systems. The standard single-particle shell model cannot represent these…

Nuclear Theory · Physics 2023-03-08 W. Horiuchi , N. Itagaki

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

3$\alpha$-cluster structures and monopole transitions of $0^+$ states in $^{12}$C and $^{14}$C were investigated with $3\alpha$- and $^{10}$Be+$\alpha$-cluster models. A gas-like $3\alpha$ state and a bending-chain $3\alpha$ state were…

Nuclear Theory · Physics 2016-09-07 Yuta Yoshida , Yoshiko Kanada-En'yo

The 2$\alpha+t$ cluster structure in $^{11}$B is investigated by the microscopic generator coordinate method (GCM) with the Brink cluster wave functions. With a proper choice of the parameters of the effective interaction, the calculated…

Nuclear Theory · Physics 2018-12-05 Bo Zhou , Masaaki Kimura

According to microscopic calculations with antisymmetrized molecular dynamics, we studied cluster features in stable and unstable nuclei. A variety of structure was found in stable and unstable nuclei in the $p$-shell and $sd$-shell…

Nuclear Theory · Physics 2015-06-26 Y. Kanada-En'yo , M. Kimura , H. Horiuchi

The excited state of the 12C nucleus known as the "Hoyle state" constitutes one of the most interesting, difficult and timely challenges in nuclear physics, as it plays a key role in the production of carbon via fusion of three alpha…

Nuclear Theory · Physics 2012-12-20 Evgeny Epelbaum , Hermann Krebs , Timo Lähde , Dean Lee , Ulf-G. Meißner

We calculate the low-lying spectrum of the $^{16}$O nucleus using an $\alpha$-cluster model which includes the important tetrahedral and square configurations. Our approach is motivated by the dynamics of $\alpha$-particle scattering in the…

Nuclear Theory · Physics 2017-03-15 C. J. Halcrow , C. King , N. S. Manton

We propose a method to optimize the multi-Slater determinants of the antisymmetrized molecular dynamics (AMD) in the linear combination form and apply it to the neutron-rich $^{10}$Be nucleus. The individual Slater determinants and their…

Nuclear Theory · Physics 2024-01-29 Takayuki Myo , Mengjiao Lyu , Qing Zhao , Masahiro Isaka , Niu Wan , Hiroki Takemoto , Hisashi Horiuchi

Cluster structures of $^{14}$C were investigated with a method of antisymmetrized molecular dynamics (AMD) combined with a $3\alpha+nn$ cluster model while focusing on the monopole excitations and linear-chain $3\alpha$ band. Variation…

Nuclear Theory · Physics 2020-01-29 Yoshiko Kanada-En'yo , Kazuyuki Ogata

The $^{12}$C nucleus with $N$=6 and $Z$=6 is a doubly closed-shell nucleus in a toroidal potential. In the description of the ground state and the Hoyle state of $^{12}$C in the resonating group method or the generator coordinate method, a…

Nuclear Theory · Physics 2019-09-19 Cheuk-Yin Wong , Andrzej Staszczak

The energy spectrum of the $^{12}C$ nucleus with $(J^{\pi}, T)=(0^+,0)$ and $(2^+,0)$ is investigated in the framework of the multicluster dynamical model by using a deep $\alpha \alpha$-potential with forbidden states in the S and D waves.…

Nuclear Theory · Physics 2008-11-26 E. M. Tursunov

Background: Cluster states in $^{13}$N are extremely difficult to measure due to the unavailability of $^{9}$B+$\alpha$ elastic scattering data. Purpose: Using $\beta$-delayed charged-particle spectroscopy of $^{13}$O, clustered states in…

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

The cluster states in $^{13}{\rm C}$ are investigated by antisymmetrized molecular dynamics. By investigating the spectroscopic factors, the cluster configurations of the excited states are discussed. It is found that the $1/2^+_2$ state is…

Nuclear Theory · Physics 2020-03-04 Y. Chiba , M. Kimura

We investigate structure of the excited $0^+$ states of $^{24}$Mg populated by isoscalar monopole transition from the ground state on the basis of antisymmetrized molecular dynamics calculation with Gogny D1S interaction. The calculated…

Nuclear Theory · Physics 2015-02-24 Y. Chiba , M. Kimura

The fermionic molecular dynamics approach uses Gaussian wave packets as single-particle basis states. Many-body basis states are Slater determinants projected on parity, angular momentum and total linear momentum. The wave-packet basis is…

Nuclear Theory · Physics 2015-06-11 Thomas Neff

The formation of the excited states $^{12}$C(0$^+_2$) and $^{12}$C(3$^-$) is investigated in the dissociation of $^{12}$C $\to$ 3$\alpha$ and $^{16}$O $\to$ 4$\alpha$ at the energy of 3.65 GeV per nucleon in the nuclear emulsion. The…

Nuclear Experiment · Physics 2025-12-16 A. A. Zaitsev , P. I. Zarubin

We study the ground and the first excited $0^{+}$ states of two mirror nuclei $^{14}$C and $^{14}$O within a five-cluster model (three alpha-particles and two extra nucleons) with the use of high accuracy variational approach with Gaussian…

Nuclear Theory · Physics 2022-12-20 B. E. Grinyuk , D. V. Piatnytskyi , V. S. Vasilevsky

We have examined the hypothesis by Bijker and Iachello who asserted that 12C has an internal structure with three alpha particles arranged in a triangular shape, leading to the formation of the ground rotational band consisting of 0+, 2+,…

Nuclear Theory · Physics 2024-04-02 Masaaki Kimura , Yasutaka Taniguchi

The structures of excited states in $^{34}$S are investigated using the antisymmetrized molecular dynamics and generator coordinate method (GCM). The GCM basis wave functions are calculated via energy variation with a constraint on the…

Nuclear Theory · Physics 2015-06-22 Yasutaka Taniguchi