Cluster structure of 20Ne: Evidence for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msub><mml:mrow><mml:mi mathvariant="script">D</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mi>h</mml:mi></mml:mrow></mml:msub></mml:math> symmetry

Bijker, R.; Iachello, F.

doi:10.1016/j.nuclphysa.2020.122077

Cited by 18 publications

(14 citation statements)

References 44 publications

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“…On the other hand, the g-factors of the sd -shell nuclei up to 29 Si are obtained from USDB interaction [65], and some disagreement with the experimental data is detected only for the (3/2) + 1 and (5/2) + 1 states of 21 Ne [57]. The discrepancy is slightly filled by the ab-initio in-medium similarity renormalization group (IM-SRG) approach, yielding g = −0.443 and −0.140 for the two states, respectively.…”

Section: N = Z + 1 Nucleimentioning

confidence: 95%

“…Nevertheless, for the lowest-energy states, SMbased approaches as the cluster-orbital shell model (COSM) [87] seem to provide a rather faithful description [88,89]. Moreover, a recent CSM analysis of the whole low-energy spectrum and the electromagnetic multipole transition probabilities of 21 Ne [42] suggests, that particle and hole neutron states can coexist with the underlying 20 Ne core, thus exciting the internal degrees of freedom of one of the α-particles. The comparison with the experimental energies turns out to be favourable for the model, except for the missing K P = 1/2 + band starting at 17.34 MeV [42].…”

Section: N = Z + 1 Nucleimentioning

confidence: 99%

“…The intrinsic stability of the 4 He nucleus alongside with the energy gap of 20. 21 MeV with respect to the lowest single-particle excited state, makes the α-particle a candidate for a conglomerate of nucleons capable of surviving relatively unperturbed within the nuclear mean field, for a recent review see [2]. It is in fact well established that nuclear spectra are a result of the interplay between pairing and cluster correlations and the mean field generated by the individual nucleons [3].…”

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confidence: 99%

“…[11,12,13]). In particular, the adoption of the equilateral triangle (D 3h ) [14,15,16], the tetrahedron (T d ) and the triangular bipyramid (D 3h ) as basis-configuration for the inspection of the structure properties of the 12 C [17] and 16 O [18,19] within the Algebraic Cluster Model (ACM) [12,20] and of the 20 Ne [21] within a geometric macroscopic α-cluster model, respectively, has revived the interest for the subject in recent times (cf. refs.…”

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confidence: 99%

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Magnetic dipole moments as a strong signature for $α$-clustering in even-even self-conjugate nuclei

Stellin¹,

Speidel²,

Meißner³

2022

Preprint

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We investigate the magnetic dipole moments in even-even self-conjugate nuclei from 12 C to 44 Ti. For the latter, the measured gyromagnetic factors of excited states turn out to assume the same value of g ≈ +0.5 within statistical errors. This peculiar feature can be interpreted on the basis of collective excitations of α-clusters. Analogously, the behaviour of the same observable is studied for all isotopes obtained by adding one or two neutrons to the considered self-conjugate nuclei. It is found that for the N = Z + 1 isotopes the α-cluster structure hardly contributes to the observed negative g-factor value, corroborating molecular α-cluster models. The addition of a further neutron, however, restores the original α-cluster g-factors, except for the semi-magic isotopes, in which the deviations from g ≈ +0.5 can be associated with the relevant shell closures. Secondly, we analyze the same observable in the framework of a macroscopic α-cluster model on a finite lattice of side length L. We focus on the discretization effects induced in the magnetic dipole moments of the 2 + 1 and the 3 − 1 states of 12 C at different values of the lattice spacing a.

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Section: N = Z + 1 Nucleimentioning

confidence: 95%

Section: N = Z + 1 Nucleimentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Magnetic dipole moments as a strong signature for $α$-clustering in even-even self-conjugate nuclei

Stellin¹,

Speidel²,

Meißner³

2022

Preprint

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“…By using the cranking covariant density functional theory (CDFT), the rod-shaped carbon isotopes at high spins were studied [48,50,51]. The studies based on the algebraic model [52] and the antisymmetrized molecular dynamics (AMD) model [53] suggested that the α clustering can appear in the lowlying states of 12 C and other light even-even nuclei [54][55][56]. In order to study how the nuclei cluster and how the clustering influences the nuclear properties, we need theories that can describe both the excited states and the ground state, and include as many shape degrees of freedom as possible.…”

Section: Introductionmentioning

confidence: 99%

Angular momentum and parity projected multidimensionally constrained relativistic Hartree-Bogoliubov model

Wang,

2022

Preprint

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The nuclear deformations are of fundamental importance in nuclear physics. Recently we developed a multi-dimensionally constrained relativistic Hartree-Bogoliubov (MDCRHB) model, in which all multipole deformations respecting the V 4 symmetry can be considered self-consistently. In this work we extend this model by incorporating the angular momentum projection (AMP) and parity projection (PP) to restore the rotational and parity symmetries broken in the mean-field level. This projected-MDCRHB (p-MDCRHB) model enables us to connect certain nuclear spectra to exotic intrinsic shapes such as triangle or tetrahedron. We present the details of the method and an exemplary calculation for 12 C. We develop a triangular moment constraint to generate the triangular configurations consisting of three α clusters arranged as an equilateral triangle.

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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

Cited by 18 publications

References 44 publications

Magnetic dipole moments as a strong signature for $α$-clustering in even-even self-conjugate nuclei

Magnetic dipole moments as a strong signature for $α$-clustering in even-even self-conjugate nuclei

Angular momentum and parity projected multidimensionally constrained relativistic Hartree-Bogoliubov model

Clusters in light nuclei: history and recent developments

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