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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

The nonlocalized clustering approach is generalized to 8-11Be isotopes with isospin dependent spin-orbit potential. A new form of the Tohsaki-Horiuchi-Schuck-R\"opke (THSR) wave function is introduced to provide a correct description for…

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

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…

The 4-alpha condensate state for ^{16}O is discussed with the THSR (Tohsaki-Horiuchi-Schuck-Roepke) wave function which has alpha-particle condensate character. Taking into account a proper treatment of resonances, it is found that the…

Nuclear Theory · Physics 2014-11-20 Y. Funaki , T. Yamada , A. Tohsaki , H. Horiuchi , G. Roepke , P. Schuck

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…

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

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…

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

New concept of clustering is discussed in $\Lambda$ hypernuclei using a new-type microscopic cluster model wave function, which has a structure that constituent clusters are confined in a container, whose size is a variational parameter and…

Nuclear Theory · Physics 2016-06-21 Y. Funaki , T. Yamada , E. Hiyama , B. Zhou , K. Ikeda

We have studied gas-like states of $\alpha$ clusters around an $^{16}$O core in $^{24}$Mg based on a microscopic $\alpha$-cluster model. This study was performed by introducing a Monte Carlo technique for the description of the THSR…

Nuclear Theory · Physics 2011-07-04 T. Ichikawa , N. Itagaki , T. Kawabata , Tz. Kokalova , W. von Oertzen

Certain aspects of the recently proposed antisymmetrised alpha particle product state wave function, or THSR alpha cluster wave function, for the description of the ground state in 8Be, the Hoyle state in 12C, and analogous states in…

Nuclear Theory · Physics 2015-05-14 Y. Funaki , H. Horiuchi , W. von Oertzen , G. Roepke , P. Schuck , A. Tohsaki , T. Yamada

Consistent description of 12C and 16O has been a long standing problem of microscopic alpha cluster models, where the wave function is fully antisymmetrized and the effective interaction is applied not between alpha clusters but between…

Nuclear Theory · Physics 2017-02-01 N. Itagaki

$^{20}$Ne can be considered as a double-magic $^{16}$O core nucleus surrounded by four nucleons, the constituents of an $\alpha$-like quartet. Similar to other nuclei ($^{212}$Po, $^{104}$Ti, etc.) with a quartet on top of a double-magic…

Nuclear Theory · Physics 2024-02-14 G. Röpke , C. Xu , B. Zhou , Z. Z. Ren , Y. Funaki , H. Horiuchi , M. Lyu , A. Tohsaki , T. Yamada

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

In order to study the nucleon-nucleon pairing effects in clustering nuclei, we formulate a superposed Tohsaki-Horiuchi-Schuck-Roepke (THSR) wave function, which includes both molecular-orbit and pairing configurations explicitly. With this…

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

The excited states in ${^{12}{\rm C}}$ are investigated by using an extended version of the so-called Tohsaki-Horiuchi- Schuck-R\"opke (THSR) wave function, where both the $3\alpha$ condensate and ${^{8}{\rm Be}} + \alpha$ cluster…

Nuclear Theory · Physics 2015-08-12 Y. Funaki

The contribution of the tensor interaction in Hartree-Fock calculations for closed shell nuclei is studied. The investigation is done neglecting the spin-orbit component of the force. As expected from nuclear matter estimates we find that…

Nuclear Theory · Physics 2022-03-02 Giampaolo Co' , Antonio M. Lallena

Background: Two new $J^\pi=0^+$ states are recently observed around a few MeV above the Hoyle state (the second $0^+$ state in 12C). The characters of them are only poorly discussed in theory and are still mysterious. Purpose: I give for…

Nuclear Theory · Physics 2016-09-07 Yasuro Funaki
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