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Related papers: Three-$\alpha$ configurations of the second $J^\pi…

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There is a deep astrophysical interest in the structure of $^{19}$F states close to the alpha decay threshold. The nuclear structure of these states is important for understanding of the development of $\alpha$ clustering in the $^{20}$Ne…

Nuclear Experiment · Physics 2022-02-02 A. Volya , V. Z. Goldberg , A. K. Nurmukhanbetova , D. K. Nauruzbayev , G. V. Rogachev

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

The multi-particle states and rotational properties of two-particle bands in $^{254}$No are investigated by the cranked shell model (CSM) with pairing correlations treated by a particle-number conserving (PNC) method. For the first time,…

Nuclear Theory · Physics 2020-03-19 Xiao-Tao He , Shu-Yong Zhao , Zhen-Hua Zhang , Zhong-Zhou Ren

Low-energy dipole excitations in ${}^{10}$Be were investigated based on the generator coordinate method with $\alpha + {}^6$He and $\alpha + \alpha + 2n$ cluster models. We obtained three $1^-$ states in $E_{x} < 15$~MeV, which show…

Nuclear Theory · Physics 2019-03-01 Yuki Shikata , Yoshiko Kanada-En'yo , Hiroyuki Morita

The root mean square radii of $^{20}$Ne in the short-lived excited states were experimentally deduced for the first time from the analyses of $\alpha$+$^{20}$Ne diffraction scattering. Differential cross sections of the elastic and…

Nuclear Experiment · Physics 2022-06-22 A. S. Demyanova , A. N. Danilov , S. A. Goncharov , V. I. Starastsin , T. I Leonova

Spherical harmonics form a complete orthonormal basis which allows any function on the sphere to be expanded. The nuclear shape of a given eigenstate can thus be described within Bohr's quasi-molecular model by a coordinate transformation…

Nuclear Theory · Physics 2026-05-19 José Nicolás Orce , Manfred Jason Jaftha

We have analyzed $^{3}$He scattering from $^{12}$C at 34.7 and 72 MeV in a coupled channel method with a double folding potential derived from the precise wave functions for the ground 0$^+$ state and $0_2^+$ (7.65 MeV) Hoyle state, which…

Nuclear Theory · Physics 2011-02-10 S. Ohkubo , Y. Hirabayashi

We study the ground and the first excited $0^{+}$ states of two mirror nuclei $^{14}$C and $^{14}$O within a five-cluster model (three alpha-particles and two extra nucleons) with the use of high accuracy variational approach with Gaussian…

Nuclear Theory · Physics 2022-12-20 B. E. Grinyuk , D. V. Piatnytskyi , V. S. Vasilevsky

The excited states of $^{13}$B were studied with a method of antisymmetrized molecular dynamics(AMD). The theoretical results suggest that the intruder states with large deformations construct the rotational bands, $K^\pi=3/2^-$ and…

Nuclear Theory · Physics 2007-06-26 Yoshiko Kanada-En'yo , Yusuke Kawanami , Yasutaka Taniguchi , Masaaki Kimura

Densities and transition densities are computed in an equilateral triangular alpha-cluster model for $^{12}$C, in which each $\alpha$ particle is taken as a gaussian density distribution. The ground-state, the symmetric vibration (Hoyle…

Nuclear Theory · Physics 2020-01-23 A. Vitturi , J. Casal , L. Fortunato , E. G. Lanza

Background: The triple-alpha process is a vital reaction in nuclear astrophysics, characterized by two consecutive reactions [$2\alpha\leftrightarrows{^{8}\rm{Be}}(\alpha,\gamma){^{12}\rm{C}}$] that drive carbon formation. The second…

We investigate to what extent a description of 12Be as a three-body system made of an inert 10Be-core and two neutrons is able to reproduce the experimental 12Be data. Three-body wave functions are obtained with the hyperspherical adiabatic…

Nuclear Theory · Physics 2008-11-26 C. Romero-Redondo , E. Garrido , D. V. Fedorov , A. S. Jensen

We examine the ground state of a Heisenberg model with arbitrary spin S on a one-dimensional lattice composed of diamond-shaped units. A unit includes two types of antiferromagnetic exchange interactions which frustrate each other. The…

Condensed Matter · Physics 2009-10-28 K. Takano , K. Kubo , H. Sakamoto

The possible bound state of the $c\bar{c}+n+^{10}$Be system, representing a hypothetical charmonium-nucleus configuration, is investigated. The analysis is conducted within a three-cluster framework, in which the binary subsystems are…

Nuclear Theory · Physics 2026-05-01 Faisal Etminan

Large scale shell model calculations, with dimensions reaching 10**9, are carried out to describe the recently observed deformed (ND) and superdeformed (SD) bands based on the first and second excited 0+ states of 40-Ca at 3.35-MeV and…

Nuclear Theory · Physics 2014-11-18 E. Caurier , J. Menendez , F. Nowacki , A. Poves

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

Method: Measuring excitation functions for $^{6}$He+$\alpha$ scattering, populating states in the excitation energy range from 4.5 MeV to 8 MeV in $^{10}$Be using a $^6$He rare-isotope beam and a thick helium gas target. Results: No new…

In this contribution, we present evidence for the occurrence of triangular symmetry in cluster nuclei. We discuss the structure of rotational bands for 3-alpha and 3-alpha+1 configurations with triangular D(3h) symmetry by exploiting the…

Nuclear Theory · Physics 2021-02-03 R. Bijker , A. H. Santana-Valdés

The complex optical potential and inelastic form factor given by the folding model for the $\alpha+^{12}$C scattering are used to calculate the ($\alpha,\alpha'$) cross sections for the known isoscalar states of $^{12}$C in an elaborate…

Nuclear Theory · Physics 2015-06-18 Do Cong Cuong , Dao T. Khoa , Yoshiko Kanada-En'yo

We investigate structure of the excited $0^+$ states of $^{24}$Mg populated by isoscalar monopole transition from the ground state on the basis of antisymmetrized molecular dynamics calculation with Gogny D1S interaction. The calculated…

Nuclear Theory · Physics 2015-02-24 Y. Chiba , M. Kimura