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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

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

In order to explore the 4 \alpha-particle condensate state in 16O, we solve a full four-body equation of motion based on the 4 \alpha OCM (Orthogonality Condition Model) in a large 4 \alpha model space spanned by Gaussian basis functions. A…

Nuclear Theory · Physics 2008-11-26 Y. Funaki , T. Yamada , H. Horiuchi , G. Roepke , P. Schuck , A. Tohsaki

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

The Tohsaki-Horiuchi-Schuck-Roepke (THSR) wave function has been successfully used for the studies of gas-like nature of alpha clusters in various nuclei including the so-called Hoyle state of 12C and four alpha states of 16O. In standard…

Nuclear Theory · Physics 2018-10-17 N. Itagaki , H. Matsuno , A. Tohsaki

The existence of a rotational band with the $\alpha$+$^{12}$C($0_2^+$) cluster structure, in which three $\alpha$ particles in $^{12}$C($0_2^+$) are locally condensed, is demonstrated near the four-$\alpha$ threshold of $^{16}$O in…

Nuclear Theory · Physics 2015-03-18 S. Ohkubo , Y. Hirabayashi

We investigate the existence of weakly coupled gas-like states comprised of three $\alpha$ particles around an $^{16}$O core in $^{28}$Si. We calculate the excited states in $^{28}$Si using the multi-configuration mixing method based on the…

Nuclear Theory · Physics 2015-06-05 T. Ichikawa , N. Itagaki , Y. Kanada-En'yo , Tz. Kokalova , W. von Oertzen

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

The $\alpha$-particle condensate in nuclei is a novel state described by a product state of $\alpha$'s, all with their c.o.m. in the lowest 0S orbit. We demonstrate that a typical $\alpha$-particle condensate is the Hoyle state…

Nuclear Theory · Physics 2015-05-27 T. Yamada , Y. Funaki , H. Horiuchi , G. Roepke , P. Schuck , A. Tohsaki

The states with $J^\pi=0^+$, $2^+$, and $4^+$ of $^{12}$C with excitation energies less than about 15 MeV are investigated with the alpha condensate wave function with spatial deformation and by using the method of ACCC (analytic…

Nuclear Theory · Physics 2009-11-10 Y. Funaki , A. Tohsaki , H. Horiuchi , P. Schuck , G. Roepke

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

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

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

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 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

The $\alpha$ condensation in the ${}^{12}C$, ${}^{16}O$ and ${}^{20}Ne$ nuclei is investigated within an analytical solvable model. It is found that the calculated ratio of the ground state energies of the Hoyle state of ${}^{12}C$ and the…

Nuclear Theory · Physics 2025-01-17 Bao-Xi Sun

At low densities, with decreasing temperatures, in symmetric nuclear matter alpha-particles are formed, which eventually give raise to a quantum condensate with four-nucleon alpha-like correlations (quartetting). Starting with a model of…

Nuclear Theory · Physics 2008-11-26 Y. Funaki , H. Horiuchi , G. Röpke , P. Schuck , A. Tohsaki , T. Yamada

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 existence of the $0_3^+$ and $0_4^+$ states around 10 MeV excitation energy in ${^{12}{\rm C}}$ is confirmed by a fully microscopic 3$\alpha$ cluster model. Firstly, a GCM (generator coordinate method) calculation is performed by…

Nuclear Theory · Physics 2016-11-09 Bo Zhou , Akihiro Tohsaki , Hisashi Horiuchi , Zhongzhou Ren

The onset of quartetting, i.e. alpha-particle condensation, in symmetric nuclear matter is studied with the help of an in-medium modified four nucleon equation. It is found that at very low density quartetting wins over pairing, because of…

Nuclear Theory · Physics 2008-09-04 Y. Funaki , T. Yamada , H. Horiuchi , G. Röpke , P. Schuck , A. Tohsaki
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