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The role of discrete (or point-group) symmetries in alpha-cluster nuclei is discussed in the framework of the algebraic cluster model which describes the relative motion of the alpha-particles. Particular attention is paid to the discrete…

Nuclear Theory · Physics 2016-06-22 Roelof Bijker

The nuclear equation of state is explored with the constrained HFB approach for self conjugate nuclei. It is found that beyond a certain low, more or less universal density, those nuclei spontaneously cluster into A/4 alpha particles with A…

Nuclear Theory · Physics 2015-06-17 Michel Girod , Peter Schuck

In this contribution, we present the cluster shell model which is analogous to the Nilsson model, but for cluster potentials. Special attention is paid to the consequences of the discrete symmetries of three alpha-particles in an…

Nuclear Theory · Physics 2020-01-08 R. Bijker , A. H. Santana-Valdés

The elastic scattering cross section measured at energies $E\lesssim 10$ MeV/nucleon for some light heavy-ion systems having two identical cores like $^{16}$O+$^{12}$C exhibits an enhanced oscillatory pattern at the backward angles. Such a…

Nuclear Theory · Physics 2021-07-22 Nguyen Tri Toan Phuc , Nguyen Hoang Phuc , Dao. T. Khoa

Quartetting ($\alpha$-like clustering) occurs in low density matter ($\le 0.03$ fm$^{-3}$) which exists, e.g., at the surface of nuclei. It is of interest for the $\alpha$ preformation to calculate the $\alpha$ decay of heavy nuclei such as…

Nuclear Theory · Physics 2017-08-02 G. Röpke , P. Schuck , C. Xu , Z. Ren , M. Lyu , B. Zhou , Y. Funaki , H. Horiuchi , A. Tohsaki , T. Yamada

For natural parity states of several odd-A nuclei a comparison of shell model calculations in the full pf configuration space with the Nilsson diagram and particle-rotor predictions shows that prolate strong coupling applies at low…

Nuclear Theory · Physics 2011-07-19 F. Brandolini , C. A. Ur

Properties of the lowest $0^{+}$ states of $^{12}\mathrm{C}$ are calculated to study the role of three-body interactions in the $\alpha$-cluster model. An additional short-range part of the local three-body potential is introduced to…

Nuclear Theory · Physics 2009-11-11 S. I. Fedotov , O. I. Kartavtsev , A. V. Malykh

Cluster structures and monopole transitions in positive parity states of $^{16}$O were investigated based on the generator coordinate method calculation of an extended $^{12}$C+$\alpha$ cluster model. The ground and excited states of a…

Nuclear Theory · Physics 2015-06-16 Yoshiko Kanada-En'yo

The structures, the electromagnetic transitions, and the beta decay strengths of exotic nuclei are investigated within an extended cluster model. We start by deriving an effective nuclear Hamiltonian within the $S_2$ correlation operator.…

Nuclear Theory · Physics 2017-08-23 M. Tomaselli , T. Kühl , D. Ursescu , S. Fritzsche

The possibility of the $^8$He and $^{9}$Li clusters in atomic nuclei is discussed. Until now most of the clusters in the conventional models have been limited to the closures of the three-dimensional harmonic oscillators, such as $^4$He,…

Nuclear Theory · Physics 2020-09-02 Naoyuki Itagaki , Tokuro Fukui , Junki Tanaka , Yuma Kikuchi

We investigate emission of bremsstrahlung photons during scattering of $\alpha$-particles off nuclei. For that, we construct bremsstrahlung model for $\alpha$-nucleus scattering, where a new formalism for coherent and incoherent…

Nuclear Theory · Physics 2019-07-19 Sergei P. Maydanyuk , Peng-Ming Zhang , Li-Ping Zou

Within a five-particle model (three $\alpha$-particles plus two nucleons), the structure functions of mirror nuclei $^{14}$C and $^{14}$O are studied. Using the variational approach with Gaussian bases, the energies and wave functions are…

Nuclear Theory · Physics 2016-11-24 B. E. Grinyuk , D. V. Piatnytskyi

The alpha cluster states of 16C are investigated by using the antisymmetrized molecular dynamics. It is shown that two different types of alpha cluster states exist: triangular and linear-chain states. The former has an approximate…

Nuclear Theory · Physics 2015-06-23 T. Baba , Y. Chiba , M. Kimura

$0s$-orbit $\Lambda$ states in $p$-shell double-$\Lambda$ hypernuclei ($^{\ \,A}_{\Lambda\Lambda}Z$), $^{\ \,8}_{\Lambda\Lambda}\textrm{Li}$, $^{\ \,9}_{\Lambda\Lambda}\textrm{Li}$, $^{10,11,12}_{\ \ \ \ \ \Lambda\Lambda}\textrm{Be}$,…

Nuclear Theory · Physics 2018-04-04 Yoshiko Kanada-En'yo

Understanding the role of multi-nucleon correlations in the structure of light nuclei is at the forefront of modern nuclear science. In this letter, we present a quantitative benchmark study of alpha-cluster correlations in the ground…

The state-of-the-art ab initio nuclear many-body approaches with modern nuclear forces are challenged by the recent experimental measurement of the monopole form factor of the $0^+_1\rightarrow 0^+_2$ transition in the $\alpha$ particle…

Nuclear Theory · Physics 2025-10-17 P. Yin , A. M. Shirokov , H. Li , B. Zhou , X. Zhao , S. Bacca , J. P. Vary

$^{20}$Ne has been known as a typical example of a nucleus with $\alpha$ cluster structure ($^{16}$O+$\alpha$ structure). However according to the spherical shell model, the spin-orbit interaction acts attractively for four nucleons outside…

Nuclear Theory · Physics 2016-01-27 N. Itagaki , H. Matsuno

We focus upon the raison d'etre of the alpha-chain states on the basis of the fully microscopic framework, where the Pauli principle among all the nucleons is fully taken into account. Our purpose is to find out the limiting number of alpha…

Nuclear Theory · Physics 2018-09-05 Akihiro Tohsaki , Naoyuki Itagaki

The response of a nucleus composed of nucleons and confined quarks is calculated in a non-relativistic cluster model and is shown to be a convolution of responses of, respectively, a nucleus with interacting point-nucleons and of a nucleon…

Nuclear Theory · Physics 2011-04-15 S. A. Gurvitz , A. S. Rinat

The antisymmetrized quasi-cluster model (AQCM) is a method to describe a transition from the alpha-cluster wave function to the jj-coupling shell model wave function. In this model, the cluster-shell transition is characterized by only two…

Nuclear Theory · Physics 2015-07-10 N. Itagaki , H. Matsuno , T. Suhara
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