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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

The study of the hyperfine (hfs) anomaly in neutron rich nuclei can give a very specific and unique way to study the neutron distribution and the clustering structure. We study the sensitivity of the hfs anomaly to the clustering effects in…

Nuclear Theory · Physics 2015-06-26 Y. L. Parfenova , Ch. Leclercq-Willain

This article comprises three sections. Section 2 starts with a review of ab initio no-core shell model calculations by Monte Carlo Shell Model. Alpha clustering arises for 8,10,12Be and 12C with Daejeon16 and JISP16 interactions, even in…

Nuclear Theory · Physics 2026-04-09 Takaharu Otsuka , Alexander Volya , Naoyuki Itagaki

The algebraic cluster model is is applied to study cluster states in the nuclei 12C and 16O. The observed level sequences can be understood in terms of the underlying discrete symmetry that characterizes the geometrical configuration of the…

Nuclear Theory · Physics 2017-11-02 Roelof Bijker

Geometric configurations of three-$\alpha$ particles in the ground- and first-excited $J^\pi=0^+$ states of $^{12}$C are discussed within two types of $\alpha$-cluster models which treat the Pauli principle differently. Though there are…

Nuclear Theory · Physics 2021-07-21 H. Moriya , W. Horiuchi , J. Casal , L. Fortunato

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

It is shown that the hole in the centre of $ ^{3}H $, $ ^{3}He $ and $ ^{4}He $, the neutron halos in nuclei, the $ \alpha - $ and other clustering effects in nuclei and the nuclear molecules all basically arise due to the same underlying…

Nuclear Theory · Physics 2007-05-23 Afsar Abbas

When two heavy ions near the Fermi energy collide, a warm and low-density region can form in which fragments appear. This region is mainly dominated by proton (p) and alpha particles. In such an environment, the alphas interact with each…

Nuclear Experiment · Physics 2019-04-24 S. Zhang , A. Bonasera , M. Huang , H. Zheng , G. Zhang , Z. Kohley , L. Lu , Y. G. Ma , S. J. Yennello

We employ the constrained density functional theory to investigate cluster phenomena for the $^{12}$C nucleus. The proton and neutron densities are generated from the placement of three $^{4}$He nuclei (alpha particles) geometrically. These…

Nuclear Theory · Physics 2023-06-28 A. S. Umar , K. Godbey , C. Simenel

What is the origin of nuclear clustering and how does it emerge from the nuclear interaction? While there is ample experimental evidence for this phenomenon, its theoretical characterization directly from nucleons as degrees of freedom…

Nuclear Theory · Physics 2020-10-20 K. Fossez

We investigate the existence of weakly coupled gas-like states comprised of three $\alpha$ particles around an $^{16}$O core in $^{28}$Si. We calculate the excited states in $^{28}$Si using the multi-configuration mixing method based on the…

Nuclear Theory · Physics 2015-06-05 T. Ichikawa , N. Itagaki , Y. Kanada-En'yo , Tz. Kokalova , W. von Oertzen

We study the $\alpha + \alpha + {}^{3}$He cluster structure of ${}^{11}$C within the microscopic cluster model. The calculations essentially reproduce the energy spectra for both negative and positive parity states, particularly the…

Nuclear Theory · Physics 2025-02-12 Ying-Yu Cao , De-Ye Tao , Bo Zhou , Yu-Gang Ma

Pentagon and triangle shapes in Si-28 and C-12 are discussed in relation with nuclear density wave. In the antisymmetrized molecular dynamics calculations, the $K^\pi=5^-$ band in Si-28 and the $K^\pi=3^-$ band in C-12 are described by the…

Nuclear Theory · Physics 2015-03-19 Yoshiko Kanada-En'yo , Yoshimasa Hidaka

Cluster structures of excited $^{10}$Be states are investigated with a hybrid model of dineutron condensate wave functions and $^6$He+$\alpha$ cluster wave functions. Two kinds of cluster states are theoretically suggested a few MeV above…

Nuclear Theory · Physics 2015-06-11 Fumiharu Kobayashi , Yoshiko Kanada-En'yo

The neutron--$^9$Li interaction and the corresponding low-energy $^{10}$Li spectrum are decisive for the properties of $^{11}$Li described as a three-body system (n+n+$^{9}$Li). We compute structure and breakup properties of $^{11}$Li as…

Nuclear Theory · Physics 2009-11-07 E. Garrido , D. V. Fedorov , A. S. Jensen

$^{17}$C has three states below the $^{16}$C + $n$ threshold with quantum numbers $J^P=3/2^+,1/2^+,5/2^+$. These states have relatively small neutron separation energies compared to the neutron separation and excitation energies of…

Nuclear Theory · Physics 2018-12-05 Jonas Braun , Hans-Werner Hammer , Lucas Platter

The wave function of the second $0^+$ state of $^{12}$C which was obtained long time ago by solving the microscopic 3$\alpha$ problem is shown to be almost completely equivalent to the wave function of the 3$\alpha$ condensed state which…

Nuclear Theory · Physics 2009-11-10 Y. Funaki , A. Tohsaki , H. Horiuchi , P. Schuck , G. Röpke

The structures of the ground and excited states of 12Be were studied with antisymmetrized molecular dynamics. The ground state was found to be a state with a developed 2-alpha core with two neutrons occupying the intruder orbits. The energy…

Nuclear Theory · Physics 2009-11-10 Yoshiko Kanada-En'yo , Hisashi 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

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