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The nonlocalized aspect of clustering, which is a new concept for self-conjugate nuclei, is extended for the investigation of the N{\not=}Z nucleus ${}^9$Be. A modified version of the THSR (Tohsaki-Horiuchi-Schuck-R\"opke) wave function is…

A container picture is proposed for understanding cluster dynamics where the clusters make nonlocalized motion occupying the lowest orbit of the cluster mean-field potential characterized by the size parameter $``B"$ in the THSR…

We explain various facets of the THSR (Tohsaki-Horiuchi-Schuck-R\"opke) wave function. We first discuss the THSR wave function as a wave function of cluster-gas state, since the THSR wave function was originally introduced to elucidate the…

Nuclear Theory · Physics 2019-09-06 Bo Zhou , Yasuro Funaki , Hisashi Horiuchi , Akihiro Tohsaki

We investigate the $\alpha$+\oo\ cluster structure in the inversion-doublet band ($K^\pi=0_{1}^\pm$) states of \nene\ with an angular-momentum-projected version of the Tohsaki-Horiuchi-Schuck-R\"{o}pke (THSR) wave function, which was…

Nuclear Theory · Physics 2013-07-02 Bo Zhou , Y. Funaki , H. Horiuchi , Zhongzhou Ren , G. Röpke , P. Schuck , A. Tohsaki , Chang Xu , T. Yamada

We investigate structure of $^{13}_\Lambda{\rm C}$ and discuss the difference and similarity between the structures of $^{12}{\rm C}$ and $^{13}_\Lambda{\rm C}$ by answering the questions if the linear-chain and gaslike cluster states,…

Nuclear Theory · Physics 2017-10-11 Y. Funaki , M. Isaka , E. Hiyama , T. Yamada , K. Ikeda

It is found that $\alpha$ cluster structure has the apparently opposing dual property of crystallinity and condensation simultaneously. The mathematical equivalence of the spatially localized Brink $\alpha$ cluster model in the generator…

Nuclear Theory · Physics 2020-12-08 S. Ohkubo

We extend the new concept of nonlocalized clustering to the nucleus 10Be with proton number Z=4 and neutron number N=6 (N=Z+2). The Tohsaki-Horiuchi-Schuck-R\"opke (THSR) wave function is formulated for the description of different…

$0s$-orbit $\Lambda$ states in $p$-shell double-$\Lambda$ hypernuclei ($^{\ \,A}_{\Lambda\Lambda}Z$), $^{\ \,8}_{\Lambda\Lambda}\textrm{Li}$, $^{\ \,9}_{\Lambda\Lambda}\textrm{Li}$, $^{10,11,12}_{\ \ \ \ \ \Lambda\Lambda}\textrm{Be}$,…

Nuclear Theory · Physics 2018-04-04 Yoshiko Kanada-En'yo

It is shown that the single $0^+$ THSR (Tohsaki-Horiuchi-Schuck-R\"{o}pke) wave function which is extended to include 2$\alpha$ correlation is almost completely equivalent to the 3$\alpha$ wave function obtained as the full solution of…

Nuclear Theory · Physics 2014-10-21 Bo Zhou , Yasuro Funaki , Akihiro Tohsaki , Hisashi Horiuchi , Zhongzhou Ren

In this article we review the present status of alpha clustering in nuclear systems. First of all, an important aspect is condensation in nuclear matter. Second, the alpha container model, recently been proposed by…

Nuclear Theory · Physics 2017-02-15 Peter Schuck , Yasuro Funaki , Hisashi Horiuchi , Gerd Roepke , Akihiro Tohsaki , Taiichi Yamada

Background: $\alpha+{^{12}{\rm C}}$ clustering in $^{16}{\rm O}$ has been of historical importance in nuclear clustering. In the last 15 years the $4\alpha$ condensate state has been proposed as a new-type cluster state. Purpose: The aim is…

Nuclear Theory · Physics 2018-02-28 Y. Funaki

We investigate properties of bound and resonance states in the $_{\Lambda}^{9}$Be nucleus. To reveal the nature of these states, we use a three-cluster $2\alpha+\Lambda$ microscopic model. The model incorporates Gaussian and oscillator…

Nuclear Theory · Physics 2021-04-22 Yu. A. Lashko , A. V. Nesterov , V. S. Vasilevsky

The first $3^-$ and $4^-$ states of $^{12}$C are studied in the present container model, in which the shift parameter is introduced to break the parity symmetry for projecting out the negative-parity states. Taking the limit as the shift…

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

This study introduces a quantum information perspective to analyze the internal structure of atomic nuclei, focusing on the quantum entanglement between $\alpha$ clusters in the 0$^+$ state of $^8$Be. A wave function based on angular…

Nuclear Theory · Physics 2026-01-27 Fei-Long Xu , Xi-Guang Cao , Yu-Gang Ma

The structure of the mirror nuclei $^9$Be and $^9$B is studied in a microscopic $\alpha+ \alpha+ n$ and $\alpha+ \alpha+ p$ three-cluster model using a fully antisymmetrized 9-nucleon wave function. The two-nucleon interaction includes…

Nuclear Theory · Physics 2008-11-26 K. Arai , Y. Ogawa , Y. Suzuki , K. Varga

An effective $\alpha$ particle equation is derived for cases where an $\alpha$ particle is formed on top of a doubly magic nucleus. As an example, we consider $^{212}$Po with the $\alpha$ on top of the $^{208}$ Pb core. We will consider the…

Nuclear Theory · Physics 2014-09-17 G. Röpke , P. Schuck , Bo Zhou , Y. Funaki , H. Horiuchi , Zhongzhou Ren , A. Tohsaki , Chang Xu , T. Yamada

$\alpha$ cluster structure in nuclei has been long understood based on the geometrical configuration picture. By using the spatially localized Brink $\alpha$ cluster model in the generator coordinate method, it is shown that the $\alpha$…

Nuclear Theory · Physics 2022-11-28 S. Ohkubo

Quartetting ($\alpha$-like clustering) occurs in low density matter ($\le 0.03$ fm$^{-3}$) which exists, e.g., at the surface of nuclei. It is of interest for the $\alpha$ preformation to calculate the $\alpha$ decay of heavy nuclei such as…

Nuclear Theory · Physics 2017-08-02 G. Röpke , P. Schuck , C. Xu , Z. Ren , M. Lyu , B. Zhou , Y. Funaki , H. Horiuchi , A. Tohsaki , T. Yamada

We analyze the $\alpha$-cluster wave functions in cluster states of $^8$Be and $^{20}$Ne by comparing the exact relative wave function obtained by the generator coordinate method (GCM) with various types of trial functions. For the trial…

Nuclear Theory · Physics 2014-11-11 Yoshiko Kanada-En'yo
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