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We propose an improved version of Antisymmetrized Quasi-Cluster Model (AQCM) to describe a smooth transition from the $\alpha$-cluster wave function to the $jj$-coupling shell model wave function and apply it to the ground state of…

Nuclear Theory · Physics 2015-06-15 Tadahiro Suhara , Naoyuki Itagaki , József Cseh , Marek Płoszajczak

The antisymmetrized quasi-cluster model (AQCM) was proposed to describe {\alpha}-cluster and $jj$-coupling shell models on the same footing. In this model, the cluster-shell transition is characterized by two parameters; $R$ representing…

Nuclear Theory · Physics 2017-07-14 H. Matsuno , N. Itagaki

$^{20}$Ne has been known as a typical example of a nucleus with $\alpha$ cluster structure ($^{16}$O+$\alpha$ structure). However according to the spherical shell model, the spin-orbit interaction acts attractively for four nucleons outside…

Nuclear Theory · Physics 2016-01-27 N. Itagaki , H. Matsuno

We investigate properties of the Generator Coordinate Method (GCM) on a collective basis of Antisymmetrized Quasi-Cluster (AQC) states to describe the cluster-shell competition in $^{20}$Ne and $^{24}$Mg due to the spin-orbit interaction.…

Nuclear Theory · Physics 2011-01-28 N. Itagaki , J. Cseh , M. Płoszajczak

Many preceding works have shown in $^{11}$Li the presence of the halo structure comprised of the weakly bound two neutrons around $^9$Li, and it is intriguing to see how this halo structure changes when another $^9$Li approaches. In this…

Nuclear Theory · Physics 2021-02-10 Naoyuki Itagaki , Tokuro Fukui , Junki Tanaka , Yuma Kikuchi

Cluster dynamics and single-particle correlation are simultaneously treated for the description of the ground state of ${}^{12} \mathrm{C} $. The recent development of the antisymmetrized quasi cluster model (AQCM) makes it possible to…

Nuclear Theory · Physics 2021-04-06 Naoyuki Itagaki , Tomoya Naito

Alpha clustering in nuclei is considered with the quartet model (QM) where four valence nucleons (the quartet) move on the top of the core (daughter) nucleus. In the QM approach, it is assumed that the intrinsic wave function of the quartet…

Nuclear Theory · Physics 2019-03-27 Dong Bai , Zhongzhou Ren , Gerd Röpke

In this paper, we extend the framework of improved version of simplified method to take into account the tensor contribution ($i$SMT) and propose AQCM-T, tensor version of antisymmetrized quasi cluster model (AQCM). Although AQCM-T is…

Nuclear Theory · Physics 2018-11-21 H. Matsuno , Y. Kanada-En'yo , N. Itagaki

The possibility of the $^{14}$C cluster being a basic building block of medium mass nuclei is discussed. Although $\alpha$ cluster structures have been widely discussed in the light $N\approx Z$ mass region, the neutron to proton ratio…

Nuclear Theory · Physics 2020-03-18 N. Itagaki , A. V. Afanasjev , D. Ray

We investigate the degree of $\alpha$ ($^4$He nucleus) clustering in the ground-state density profiles of $^{44}$Ti and $^{52}$Ti. Two types of density distributions, shell- and cluster-model configurations, are generated fully…

Nuclear Theory · Physics 2022-11-09 W. Horiuchi , N. Itagaki

Background: Whether or not the $\alpha$ ($^4$He nucleus) clustering exists in the medium-mass region of nuclear systems is a fundamental and intriguing question. However, the recent analysis of the $\alpha$ knockout reaction on $^{48}$Ti…

Nuclear Theory · Physics 2024-03-05 M. Okada , W. Horiuchi , N. Itagaki

We propose a simple quartet condensation model (QCM) which describes with very high accuracy the isovector pairing correlations in self-conjugate nuclei. The quartets have an alpha-like structure and are formed by collective isovector…

Nuclear Theory · Physics 2015-06-04 N. Sandulescu , D. Negrea , J. Dukelsky , C. W. Johnson

In this contribution we review the algebraic cluster model (ACM) for $\alpha$-cluster nuclei with $A=4k$ nucleons and its extension to the cluster shell model (CSM) for $A=4k+x$ nuclei. Particular attention is paid to the question to what…

Nuclear Theory · Physics 2025-09-12 Roelof Bijker , Omar Alejandro Díaz Caballero

The alpha-cluster states of $^{22}$Ne are studied within the framework of the semimicroscopic algebraic cluster model (SACM). The band structure, energy spectrum as well as E2 and E1 transitions are calculated and are compared with the…

Nuclear Theory · Physics 2015-06-16 G. Lévai

A modified version of the Multicluster Dynamic Model of nuclei is proposed to construct completely antisymmetrized wave functions of multicluster systems. An overlap kernel operator is introduced to renormalize the total wave function after…

Nuclear Theory · Physics 2007-05-23 R. A. Eramzhyan , G. G. Ryzhikh , Yu. M. Tchuvil'sky

Alpha($^{4}$He)-cluster models have often been used to describe light nuclei. Towards the application to multi-cluster systems involving heavy clusters, we study the relative wave functions of the $\alpha+^{16}$O and $\alpha+^{40}$Ca…

Nuclear Theory · Physics 2018-08-01 T. Arai , W. Horiuchi , D. Baye

We apply tensor version of antisymmetrized quasi cluster model (AQCM-T) to 4He and 8Be while focusing on the NN correlations in alpha clusters. We adopt the NN interactions including realistic ones containing a repulsive core for the…

Nuclear Theory · Physics 2018-08-08 N. Itagaki , H. Matsuno , Y. Kanada-En'yo

The consequences of some symmetries of the three-alpha system are discussed. In particular, the recent description of the low-energy spectrum of the 12C nucleus in terms of the Algebraic Cluster Model (ACM) is compared to that of the…

Nuclear Theory · Physics 2016-04-13 J. Cseh , R. Trencsényi

Alpha clustering is an important dynamic in nuclear physics, with growing interest to its study in heavy nuclei in recent years. Theoretically, the microscopic cluster models taking nucleons as relevant degrees of freedom have been widely…

Nuclear Theory · Physics 2025-02-20 Zhen Wang , Dong Bai , Zhongzhou Ren

Background: The $^{44}$Ti nucleus has been known to have a $^{40}$Ca+$\alpha$ cluster structure, and inversion doublet structure has been observed; however, $\alpha$ cluster structure tends to be washed out when the breaking of the $\alpha$…

Nuclear Theory · Physics 2022-07-13 Chikako Ishizuka , Hiroki Takemoto , Yohei Chiba , Akira Ono , Naoyuki Itagaki
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