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Related papers: Be-$\alpha$ correlations in the linear-chain struc…

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We present a new picture that the $\alpha$-linear-chain structure for ${^{12}{\rm C}}$ and ${^{16}{\rm O}}$ has one-dimensional $\alpha$ condensate character. The wave functions of linear-chain states which are described by superposing a…

Nuclear Theory · Physics 2015-06-17 T. Suhara , Y. Funaki , B. Zhou , H. Horiuchi , A. Tohsaki

We searched for the $\alpha$ condensed state in $^{13}$C by measuring the $\alpha$ inelastic scattering at $E_{\alpha} = 388$ MeV at forward angles including 0 degrees. We performed the distorted-wave Born-approximation calculation with the…

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 discuss an algebraic treatment of alpha-cluster nuclei based on the introduction of a spectrum generating algebra for the relative motion of the alpha-clusters. Particular attention is paid to the discrete symmetry…

Nuclear Theory · Physics 2017-11-02 Roelof Bijker

Background: A recent inelastic alpha-scattering experiment [Phys. Rev. Lett. 129, 102701 (2022)] found $0^+$ resonances in $^{24}$Mg on and above the $^{12}$C+$^{12}$C break-up threshold. It has been conjectured that the states have a…

Nuclear Theory · Physics 2023-12-14 J. Cseh , G. Riczu , D. G. Jenkins

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

In ballistic open quantum systems one often observes that the resonances in the complex-energy plane form a clear chain structure. Taking the open 3-disk system as a paradigmatic model system, we investigate how this chain structure is…

Disordered Systems and Neural Networks · Physics 2014-04-01 T. Weich , S. Barkhofen , U. Kuhl , C. Poli , H. Schomerus

High-energy nuclear collisions have opened a new experimental method to reveal collective behavior in nuclear ground states through the lens of many-body correlations of nucleons. Using ab initio lattice and variational calculations of…

Nuclear Theory · Physics 2025-12-23 Jean-Paul Blaizot , Giuliano Giacalone , Alessandro Lovato

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 excited states of Be-12, Be-14 and B-15 have been studied with a method of antisymmetrized molecular dynamics. In the predicted excited states we find novel molecule-like structures with very exotic clusters such as 6He+8He in Be-14 and…

Nuclear Theory · Physics 2008-11-26 Y. Kanada-En'yo

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…

Nuclear Theory · Physics 2023-09-29 A. H. Santana-Valdés , R. Bijker

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

Measurements of the helium-cluster breakup and neutron removal cross sections for neutron-rich Be isotopes A=10-12,14 are presented. These have been studied in the 30 to 42 MeV/u energy range where reaction measurements are proposed to be…

Nuclear Experiment · Physics 2015-06-26 N. I. Ashwood , M. Freer

We explore possible observable signatures of $\alpha$ clustering of light nuclei in ultra-relativistic nuclear collisions involving ${}^{7,9}$Be, ${}^{12}$C, and ${}^{16}$O. The clustering leads to specific spatial correlations of the…

Nuclear Theory · Physics 2018-03-28 Maciej Rybczyński , Milena Piotrowska , Wojciech Broniowski

The resonance structure in $^{11}$C is particularly of interest with regard to the astrophysical $^{7}$Be($\alpha$, $\gamma$) reaction, relevant at high temperature, and to the $\alpha$-cluster structure in $^{11}$C. The measurement was to…

In this contribution, we present evidence for the occurrence of triangular symmetry in cluster nuclei. We discuss the structure of rotational bands for 3-alpha and 3-alpha+1 configurations with triangular D(3h) symmetry by exploiting the…

Nuclear Theory · Physics 2021-02-03 R. Bijker , A. H. Santana-Valdés

The purpose of this article is the study of the symmetries in a circular and linear harmonic oscillator chains system, and consequently use them as a means to find the eigenvalues of these configurations. Furthermore, a hidden…

Mathematical Physics · Physics 2023-10-03 Edoardo Spezzano , Alberto Iommi

In this paper, we will briefly review the recent progress on neutron correlations and clustering in neutron-rich nuclei from quasi-free scattering experiments. The quasi-free ($p$, $pn$) reaction was measured for Borromean nuclei $^{11}$Li,…

Nuclear Experiment · Physics 2025-01-22 Zaihong Yang , Yuki Kubota

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 $D_{3h}$…

Nuclear Theory · Physics 2019-12-12 J. Casal , L. Fortunato , A. Vitturi , E. G. Lanza

The structure of the isodoublet hypernuclei, $^{10}_{\Lambda}$B and $^{10}_{\Lambda}$Be within the framework of an $\alpha +\alpha +\Lambda +N$ four-body cluster model is studied. Interactions between the constituent subunits are determined…

Nuclear Theory · Physics 2012-08-03 Emiko Hiyama , Yasuo Yamamoto