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The algebraic molecular model is used in $^{12}$C to construct densities and transition densities connecting low-lying states of the rotovibrational spectrum, first and foremost those belonging to the rotational bands based on the ground…

核理论 · 物理学 2019-09-12 A. Vitturi , J. Casal , L. Fortunato , E. G. Lanza

The molecular algebraic model based on three and four alpha clusters is used to describe the inelastic scattering of alpha particles populating low-lying states in $^{12}$C and $^{16}$O. Optical potentials and inelastic formfactors are…

核理论 · 物理学 2021-02-03 J. Casal , L. Fortunato , E. G. Lanza , A. Vitturi

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…

核理论 · 物理学 2015-06-18 Do Cong Cuong , Dao T. Khoa , Yoshiko Kanada-En'yo

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…

核理论 · 物理学 2023-06-28 A. S. Umar , K. Godbey , C. Simenel

Form factors for $\alpha+{^{12}}$C inelastic scattering are obtained within two theoretical ($\alpha+\alpha+\alpha$) approaches: The hyperspherical framework for three identical bosons, and the algebraic cluster model assuming the $D_{3h}$…

核理论 · 物理学 2019-12-12 J. Casal , L. Fortunato , A. Vitturi , E. G. Lanza

$\alpha$-cluster correlations in the ground states of $^{12}$C and $^{16}$O are studied. Because of the $\alpha$ correlations, the intrinsic states of $^{12}$C and $^{16}$O have triangle and tetrahedral shapes, respectively. The…

核理论 · 物理学 2012-08-17 Yoshiko Kanada-En'yo , Yoshimasa Hidaka

A new method is introduced to study three-body clusters. Triangular configurations with ${\cal D}_{3h}$ point-group symmetry are analyzed. The spectrum, transition form factors and $B(E\lambda)$ values of $^{12}$C are investigated. It is…

核理论 · 物理学 2009-11-07 R. Bijker , F. Iachello

The alpha cluster states of 16C are investigated by using the antisymmetrized molecular dynamics. It is shown that two different types of alpha cluster states exist: triangular and linear-chain states. The former has an approximate…

核理论 · 物理学 2015-06-23 T. Baba , Y. Chiba , M. Kimura

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…

核理论 · 物理学 2026-04-09 Takaharu Otsuka , Alexander Volya , Naoyuki Itagaki

After recapitulating the procedure to find the bands and the states occurring in the $\mathcal{D}_{3h}$ alpha-cluster model of $^{12}$C in which the clusters are placed at the vertexes of an equilateral triangle, we obtain the selection…

核理论 · 物理学 2016-08-03 G. Stellin , L. Fortunato , A. Vitturi

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…

核理论 · 物理学 2020-01-29 Yoshiko Kanada-En'yo , Kazuyuki Ogata

We study the cluster structure of $^{12}$C and $^{13}$C in the framework of the cluster shell model. Simple relations are derived for ratios of longitudinal form factors as well as transition probabilities. It is shown that the available…

核理论 · 物理学 2023-09-29 A. H. Santana-Valdés , R. Bijker

$\alpha$ elastic and inelastic scattering on $^{12}$C is investigated with the coupled-channel calculation using microscopic $\alpha$-$^{12}$C potentials, which are derived by folding the Melbourne $g$-matrix $NN$ interaction with the…

核理论 · 物理学 2019-06-12 Yoshiko Kanada-En'yo , Kazuyuki Ogata

We present a microscopic dynamical study of the reactions involving three $^{4}$He clusters. We show that the much discussed triple-$\alpha$ linear chain configuration of $^{12}$C is formed with a certain lifetime and subsequently decays…

核理论 · 物理学 2014-11-20 A. S. Umar , J. A. Maruhn , N. Itagaki , V. E. Oberacker

$\alpha$-cluster correlations in the $0^+_1$ and $3^-_1$ states of $^{12}$C and $^{16}$O are studied using the method of antisymmetrized molecular dynamics, with which nuclear structures are described from nucleon degrees of freedom without…

核理论 · 物理学 2016-08-15 Yoshiko Kanada-En'yo , Yoshimasa Hidaka

Method: To examine signatures of this alpha-condensation, a compound nucleus reaction using 160, 280, and 400 MeV 16O beams impinging on a carbon target was used to investigate the 12C(16O,7a) reaction. This permits a search for…

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+,…

核理论 · 物理学 2024-04-02 Masaaki Kimura , Yasutaka Taniguchi

The electric quadrupole transitions between $0^+$, $2^+$, and $4^+$ states in $^{12}$C are investigated in a $3\alpha$ model. The three-body wave functions are obtained by means of the hyperspherical adiabatic expansion method, and the…

核理论 · 物理学 2015-06-11 E. Garrido , A. S. Jensen , D. V. Fedorov

We investigate ultrarelativistic collisions of the 12C nucleus with heavy targets and show that the harmonic flow measures based on ratios of cumulant moments are particularly suited to study the intrinsic deformation of the 12C wave…

核理论 · 物理学 2014-12-10 Piotr Bozek , Wojciech Broniowski , Enrique Ruiz Arriola , Maciej Rybczynski

Complex transition density can be constructed by a nuclear structure model with a complex basis and/or complex coefficient. In general, the complex transition density is converted to the real one with phase factor. In this study, we apply…

核理论 · 物理学 2022-05-26 T. Furumoto
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