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Our present understanding of the structure of the Hoyle state in $^{12}$C and other near-threshold states in $\alpha$-conjugate nuclei is reviewed in the framework of the $\alpha$-condensate model. The $^{12}$C Hoyle state, in particular,…

Nuclear Experiment · Physics 2020-05-20 R. Smith , J. Bishop , J. Hirst , Tz. Kokalova , C. Wheldon

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

$\alpha$ particle condensation is a novel state in nuclear systems. We briefly review the present status on the study of $\alpha$ particle condensation and address the open problems in this research field: $\alpha$ particle condensation in…

Nuclear Theory · Physics 2010-04-28 Y. Funaki , M. Girod , H. Horiuchi , G. Roepke , P. Schuck , A. Tohsaki , T. Yamada

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 a dilute property of an $\alpha$ particle condensate can be seen in the Airy structure of nuclear rainbow and prerainbow scattering. The dilute property of the Hoyle state of $^{12}$C with a developed $\alpha$ cluster…

Nuclear Theory · Physics 2011-03-17 S Ohkubo , Y Hirabayashi

In order to discuss the spatial extention of the second 0+ state of 12C (Hoyle state), we analyze the inelastic form factor of electron scattering to the Hoyle state, which our 3 alpha condensate wave function reproduces very well like…

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

The excited state of the 12C nucleus known as the "Hoyle state" constitutes one of the most interesting, difficult and timely challenges in nuclear physics, as it plays a key role in the production of carbon via fusion of three alpha…

Nuclear Theory · Physics 2012-12-20 Evgeny Epelbaum , Hermann Krebs , Timo Lähde , Dean Lee , Ulf-G. Meißner

Alpha clustering and alpha condensation in lighter nuclei is presently strongly and increasingly discussed in the literature both from the experimental side as from the theoretical one. A discussion of the present status of the theory as…

Nuclear Theory · Physics 2015-06-15 P. Schuck

The fragmentation of quasi-projectiles from the nuclear reaction $^{40}$Ca+$^{12}$C at 25 MeV/nucleon was used to produce excited states candidates to $\alpha$-particle condensation. Complete kinematic characterization of individual decay…

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

The first $0^+$ resonant state of the $^{12}$C nucleus ${}^{12}$C$(0_2^+)$, so called the Hoyle state, is investigated in a three-$\alpha$-particle (3-$\alpha$) model. A wave function for the photodisintegration reaction of a $^{12}$C bound…

Nuclear Theory · Physics 2016-12-26 Souichi Ishikawa

A round up of the present status of the conjecture that n alpha nuclei form an alpha-particle condensate in excited states close to the n alpha threshold is given. Experiments which could demonstrate the condensate character are proposed.…

Nuclear Theory · Physics 2009-11-10 P. Schuck , H. Horiuchi , G. Röpke , 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

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

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

In the context of the search for triples of relativistic $\alpha$-particles in the Hoyle state, the analysis of available data on the dissociation of the nuclei ${}^{12}$C, ${}^{16}$O and ${}^{22}$Ne in the nuclear emulsion was carried out.…

Nuclear Experiment · Physics 2020-02-28 A. A. Zaitsev , P. I. Zarubin

The Hoyle state and other resonances in the continuum above the 3 alpha threshold in 12C are studied in a microscopic cluster model. Whereas the Hoyle state is a very sharp resonance and can be treated reasonably well in bound state…

Nuclear Theory · Physics 2015-06-22 Thomas Neff , Hans Feldmeier

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

I present an ab initio calculation of the spectrum of carbon-12, including also the famous Hoyle state. Its structure is discussed and a new interpretation of clustering in nuclear physics is given.

Nuclear Theory · Physics 2015-05-30 Ulf-G. Meißner

The fragmentation of quasi-projectiles from the nuclear reaction $^{40}Ca$+$^{12}C$ at 25 MeV/nucleon was used to produce excited states candidates to $\alpha$-particle condensation. The methodology relies on high granularity 4$\pi$…

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