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The reduced width amplitudes (RWA) and the spectroscopic factor (S-factor) of $\alpha$-cluster and valence neutron in $^{12}$Be are calculated by the generator coordinates method (GCM) with the cluster model. By fixing the distance between…

Nuclear Theory · Physics 2025-01-28 Zhilian Cai , Qing Zhao , Zaihong Yang , Masaaki Kimura , Bo Zhou , Seung-heon Shin

We use a microscopic multicluster model to investigate the structure of $^{10}$Be and of $^{11}$Be. These nuclei are described by $\alpha+\alpha+n+n$ and $\alpha+\alpha+n+n+n$ configurations, respectively, within the Generator Coordinate…

Nuclear Theory · Physics 2020-03-20 Pierre Descouvemont , Naoyuki Itagaki

Scrupulous theoretical study of 8Be nucleus states, both clustered and non-clustered, is performed over a wide range of the excitation energies. The quantities which characterize the degree of the alpha-clustering of these states:…

Nuclear Theory · Physics 2020-12-30 D. M. Rodkin , Yu. M. Tchuvil'sky

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

$\alpha$-decay always has enormous impetuses to the development of physics and chemistry, in particular due to its indispensable role in the research of new elements. Although it has been observed in laboratories for more than a century, it…

Nuclear Theory · Physics 2021-01-20 J. M. Dong , Q. Zhao , L. J. Wang , W. Zuo , J. Z. Gu

Study of radiative $\alpha$ capture on $^{12}$C, $^{12}$C($\alpha$,$\gamma$)$^{16}$O, in cluster effective field theory (EFT) is reviewed. A low energy EFT for $^{12}$C($\alpha$,$\gamma$)$^{16}$O at the Gamow-peak energy, $E_G=0.3$~MeV, is…

Nuclear Theory · Physics 2025-04-11 Shung-Ichi Ando

A microscopic $n\alpha$ cluster model was applied to $^{8}$Be, $^{12}$C, and $^{16}$O systems to investigate cluster motion in the ground state and radial excitation. In the microscopic calculation of $^{12}$C and $^{16}$O using the…

Nuclear Theory · Physics 2024-03-21 Yoshiko Kanada-En'yo , Nobuo Hinohara

Alpha-alpha scattering is discussed in terms of a chiral two pion exchange potential which turns out to be attractive and singular at the origin, hence demanding renormalization. When 8Be is treated as a resonance state a model independent…

Nuclear Theory · Physics 2008-11-26 E. Ruiz Arriola

The fusion of $\alpha$ and $^8$Be to produce a $^{12}$C nucleus is a crucial process in nucleosynthesis. In the laboratory, this process can only be studied theoretically as a $^8$Be target or projectile cannot be prepared experimentally.…

Nuclear Theory · Physics 2026-03-31 Teck-Ghee Lee , Orhan Bayrak , Cheuk-Yin Wong

An approximate but straight forward projection method to molecular many alpha-particle states is proposed and the overlap to the shell model space is determined. The resulting space is in accordance with the shell model, but still contains…

Nuclear Theory · Physics 2021-10-13 J. R. M. Berriel-Aguayo , P. O. Hess

What is the origin of nuclear clustering and how does it emerge from the nuclear interaction? While there is ample experimental evidence for this phenomenon, its theoretical characterization directly from nucleons as degrees of freedom…

Nuclear Theory · Physics 2020-10-20 K. Fossez

Background: Searching for alpha condensation around a core nucleus, a new class of nuclear clustering, is an interesting topic. Previous theoretical studies predicted 16O + 2$\alpha$ condensed states. However, in those studies, the strong…

Nuclear Theory · Physics 2025-05-09 Y. M. Htet , T. Oishi , M. Kimura , Q. Zhao , B. Zhou

A transfer reaction and cluster-decay experiment, $^{12}$C($^{16}$O,$^{24}$Mg$\rightarrow$$\alpha$+$^{20}$Ne)$\alpha$, was performed at a beam energy of 96 MeV. Both recoil and decay $\alpha$ particles were detected in coincidence, allowing…

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

A two-cluster microscopic model is applied to study elastic alpha-alpha scattering and resonance structure of $^{8}$Be. The model is an algebraic version of the Resonating Group Method, which makes use complete set of oscillator functions…

Nuclear Theory · Physics 2020-06-09 V. O. Kurmangaliyeva , N. Kalzhigitov , N. Takibayev , V. S. Vasilevsky

The allelomimesis clustering model is based on only two parameters: a local parameter $\alpha$ that represents the probability of nearest-neighbor copying and a global parameter $p$ that represents the fraction of unresponsive agents. The…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Dranreb Earl Juanico , Caesar Saloma

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

In model-based clustering and classification, the cluster-weighted model constitutes a convenient approach when the random vector of interest constitutes a response variable Y and a set p of explanatory variables X. However, its…

Methodology · Statistics 2013-07-23 Sanjeena Subedi , Antonio Punzo , Salvatore Ingrassia , Paul D. McNicholas

Relativistic energy density functional approaches are known to well describe nuclear states which involve alpha clusters. Here, alpha emitting nuclei are analysed through the behavior of the spatial localisation of nucleonic states,…

Nuclear Theory · Physics 2021-02-03 J. -P. Ebran , E. Khan , R. -D. Lasseri

The fragmentation of quasi-projectiles from the nuclear reaction 40Ca + 12C at 25 MeV/nucleon was used to produce alpha-emission sources. From a careful selection of these sources provided by a complete detection and from comparisons with…

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