Systematics of some 3-dimensional α-cluster configurations in 4N nuclei from 16O to 44Ti

Zhang, J.; Rae, W.D.M.; Merchant, A. C.

doi:10.1016/0375-9474(94)90137-6

Cited by 68 publications

(51 citation statements)

References 24 publications

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“…Even better agreement is recognized with Brink-model results [39][40][41]. These studies gave also eight shape isomers, and seven of them are in a one-to-one correspondence with our results.…”

Section: Sisupporting

confidence: 87%

Extreme quadrupole deformation and clusterization

Darai

Cseh

Adamian

et al. 2012

EPJ Web of Conferences

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Abstract. We discuss a simple symmetry-adapted method for the determination of the shape isomers, and for the study of their possible fragmentation. In other words the connection between the quadrupole (collective) and dipole (cluster) degrees of freedom is considered in terms of an easily applicable, yet microscopic method. The energetics is taken into account by the double-folding method. Special attention is focused on those cases in which the theoretical predictions have a direct comparison with experimental observation.

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Section: Sisupporting

confidence: 87%

Extreme quadrupole deformation and clusterization

Darai

Cseh

Adamian

et al. 2012

EPJ Web of Conferences

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“…Energy levels for this configuration can be analyzed with Eq. (16). A comparison with data in 8 Be [74] is shown in Fig.…”

Section: Dumbbell Configurationmentioning

confidence: 89%

“…The occurrence of T d symmetry in 16 O was emphasized by Robson [13,14] in the 1970s and more recently revisited in [40,41]. Energy levels have been analyzed with Eq.…”

Section: Tetrahedral Configurationmentioning

confidence: 99%

“…Form factors in 16 O have also been extensively investigated. In the rigid case, the form factors are given by Eq.…”

Section: Equilateral Triangle Configurationmentioning

confidence: 99%

“…(28), (32) and (36). A comparison with data for 8 Be, 12 C and 16 O is shown in Table 4. In this table, the experimental value for 8 Be was estimated using the Greens function Monte Carlo method (GFMC) [78].…”

Section: Electromagnetic Transition Ratesmentioning

confidence: 99%

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Cluster structure of light nuclei

Bijker

Iachello

2020

Progress in Particle and Nuclear Physics

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We review recent studies of the cluster structure of light nuclei within the framework of the algebraic cluster model (ACM) for nuclei composed of k α-particles and within the framework of the cluster shell model (CSM) for nuclei composed of k α-particles plus x additional nucleons. The calculations, based on symmetry considerations and thus for the most part given in analytic form, are compared with experiments in light cluster nuclei. The comparison shows evidence for Z 2 , D 3h and T d symmetry in the even-even nuclei 8 Be (k = 2), 12 C (k = 3) and 16 O (k = 4), respectively, and for the associated double groups Z ′ 2 and D ′ 3h in the odd nuclei 9 Be, 9 B (k = 2, x = 1) and 13 C (k = 3, x = 1), respectively. configurations for nuclei composed of k α-particles, here referred as kα nuclei.In particular, the suggested configurations of the ground state were, for k = 2 a dumbbell configuration with Z 2 symmetry ( 8 Be), for k = 3 an equilateral triangle with D 3h symmetry ( 12 C) and for k = 4 a tetrahedron with T d symmetry ( 16 O), as shown in Fig. 1. Brink's suggestion stimulated a considerable amount of work in an attempt to derive cluster properties from the shell model, especially by the Japanese school [8][9][10][11] and from mean field theories [12]. Also, the cluster structure of specific nuclei was extensively investigated, as for example in 16 O [13,14], and Brink's model was applied to a wide range of cluster nuclei from 12 C to 44 Ti in [15,16]. A review of cluster models up to 2006 can be found in [17], and more recent ones in [18] and [19].In recent years, there has been considerable renewed interest in the structure of α-cluster nuclei, especially for the nucleus 12 C [20]. The observation of new rotational states built on the ground state [21-24] and the Hoyle state [25-27] has stimulated a large effort to understand the structure of 12 C ranging from studies based on Antisymmetric Molecular Dynamics (AMD) [28], Fermion Molecular Dynamics (FMD) [29], BEC-like cluster model [30], ab initio no-core shell model [31-33], lattice EFT [34-36], no-core symplectic model [37] and the Algebraic Cluster Model (ACM) [38][39][40][41]. In the first part of this paper, we review the ACM as applied to kα nuclei with k = 2, 3, 4.An important question is the extent to which cluster structures survive the addition of nucleons (protons and neutrons). We refer to nuclei composed of k α-particles plus x nucleons as kα + x nuclei. This question has also been addressed in the past, especially in the case of the Be isotopes seen as 8 Be + x nucleons, with a variety of methods [42][43][44][45][46][47] culminating, in the 1970's, in the extensive work of Okabe, Abe and Tanaka [48, 49] using the Linear Combination of Atomic Orbitals (LCAO) method and its generalizations. In recent years, FMD [50-53] and AMD [54-56] calculations have provided very detailed and accurate microscopic descriptions of the Be isotopes with large overlap with the Brink model [7]. In another seminal development, Von Oertzen [57-60] hasdiscussed the ...

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Collective Clusterization in Nuclei and Excited Compound Systems: The Dynamical Cluster-Decay Model

Gupta

2010

Clusters in Nuclei

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Systematics of some 3-dimensional α-cluster configurations in 4N nuclei from 16O to 44Ti

Cited by 68 publications

References 24 publications

Extreme quadrupole deformation and clusterization

Extreme quadrupole deformation and clusterization

Cluster structure of light nuclei

Collective Clusterization in Nuclei and Excited Compound Systems: The Dynamical Cluster-Decay Model

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