Cluster shell model: I. Structure of 9Be, 9B

Rocca, Valeria Della; Iachello, F.

doi:10.1016/j.nuclphysa.2018.02.003

Cited by 29 publications

(29 citation statements)

References 54 publications

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“…The rotational spectra of a dumbbell configuration can be analyzed with the energy formula [62] E rot (Ω, K,…”

Section: Energy Formulasmentioning

confidence: 99%

“…These contributions were derived in the laboratory frame by De Forest and Walecka [95]. They were converted to the intrinsic frame in [62], where explicit expressions are given. Since the cluster contribution is composed of spin-less α-particles, it is assumed that the cluster contribution F c applies only to the longitudinal form factors.…”

Section: Form Factors In Electron Scatterngmentioning

confidence: 99%

“…For these nuclei, microscopic approaches appear to produce cluster features correctly, although effective charges still need to be introduced in the analysis of electromagnetic transition rates in shell model based calculations [32]. A detailed comparison between the algebraic approach and microscopic approaches for 8 Be and 9 Be is given in [62]. Also for 12 C and 13 C (D 3h and D ′ 3h symmetry) extensive calculations exist, especially for 12 C. The AMD and FDM microscopic calculations produce results in quantitative agreement with the symmetry.…”

Section: Introductionmentioning

confidence: 99%

“…The observed level at 1.5 MeV is tentatively assigned as J P = 1/2 + and that at 4.8 MeV to 3/2 + in analogy with 9 Be. Reproduced from[62] with permission.…”

mentioning

confidence: 99%

“…B(EL) values in8 Be,12 C and16 O in e 2 fm 2L . Experimental data are taken from[78][79][80], and theoretical ACM results from[39,41,62].…”

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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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“…The rotational spectra of a dumbbell configuration can be analyzed with the energy formula [62] E rot (Ω, K,…”

Section: Energy Formulasmentioning

confidence: 99%

Section: Form Factors In Electron Scatterngmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…The observed level at 1.5 MeV is tentatively assigned as J P = 1/2 + and that at 4.8 MeV to 3/2 + in analogy with 9 Be. Reproduced from[62] with permission.…”

mentioning

confidence: 99%

“…B(EL) values in8 Be,12 C and16 O in e 2 fm 2L . Experimental data are taken from[78][79][80], and theoretical ACM results from[39,41,62].…”

mentioning

confidence: 99%

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Cluster structure of light nuclei

Bijker

Iachello

2020

Progress in Particle and Nuclear Physics

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Clusters in light nuclei: history and recent developments

Lombardo,

Dell’Aquila

2023

Riv. Nuovo Cim.

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In this review, we discuss recent advancements in the study of clustering phenomena occurring in light nuclei, and their influence on nuclear structure, dynamics, and astrophysics. In the introduction, we outline the historical steps leading to the concept of $$\alpha $$ α -clusterization in nuclei and provide a comprehensive description of the evolution of nuclear models capable to describe clustering aspects in nuclear systems and of the main experiments and discoveries leading to the development of this research field. We also describe some spectroscopic techniques that are used to establish the clustered nature of a given nuclear state. Some relevant experimental and theoretical findings recently reported both in experimental and theoretical works are discussed in the text. We put emphasis on recent achievements and remaining problems in the description of the structure of light isotopes, from helium to neon, including both self- and non-self-conjugate nuclei. Particular attention to the implication in the nuclear astrophysics context and to clustering effects in the dynamics of nuclear reactions is pursued all along the review.

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Cluster structure of 20Ne: Evidence for D3h symmetry

Bijker

Iachello

2021

Nuclear Physics A

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We study the cluster structure of 20 Ne and show that the available experimental data can be well described by a bi-pyramidal structure with D 3h symmetry. Strong evidence for the occurrence of this symmetry comes from the observation of all nine expected vibrational modes (3 singly degenerate and 3 doubly degenerate) and of six (singly degenerate) double vibrational modes. 20 Ne appears to be another example of the simplicity in complexity program, in which simple spectroscopic features arise out of a complex many-body system.

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Cluster shell model: I. Structure of 9Be, 9B

Cited by 29 publications

References 54 publications

Cluster structure of light nuclei

Cluster structure of light nuclei

Clusters in light nuclei: history and recent developments

Cluster structure of 20Ne: Evidence for D3h symmetry

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