Alpha-particle spectroscopic amplitudes and the su(3) model

Ichimura, M.; Arima, A.; Halbert, E.C.; Terasawa, T.

doi:10.1016/0375-9474(73)90272-8

Cited by 189 publications

(51 citation statements)

References 61 publications

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“…Please, note, that the microscopic definition of the spectroscopic factor (see e.g. [17]) is such, that even for a pure cluster state it is not necessarily 1. Thus, in short we can say that our reciprocal forbiddenness (S) is not identical, of course, with the microscopic spectroscopic factor, but it is related to it; in some sense it can be considered as its semimicroscopic approximation.…”

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confidence: 99%

Ternary clusterization and quadrupole deformation

et al. 2006

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The deformation-dependence of ternary clusterization of atomic nuclei is investigated. In particular, allowed and forbidden ternary clusterconfigurations are determined for the ground, superdeformed, and hyperdeformed states of some light and heavy nuclei, based on a microscopic (real and effective SU(3)) selection rule. The energetic stability of the clusterizations is also considered. The investigation of exotic nuclear shapes, e.g. superdeformed and hyperdeformed states is one of the most interesting topics in recent nuclear structure studies. The appearance of exotic cluster configurations (or exotic cluster decay) is another issue of utmost interest. The combination of these two problems brings us to an exciting question: what is the interrelation of these two phenomena, i.e. what are the possible clusterizations of nuclear states with exotic shapes. In the present Letter we address this question from the angle of the ternary clusterization. We apply methods which can be generalized to more complicated multicluster-configurations in a straightforward way.The basic concept of this work is that when we try to describe the composition of an atomic nucleus from smaller nuclei (clusters) then we take into account both of the two complementary natural laws, which govern this kind of phenomenon: the energy-minimum principle and the Pauli-exclusion principle. The crucial role of these two rules are obvious: energetically unfavored systems are not likely to appear, and when the building blocks are fermions, like the nucleons of the atomic nuclei, then they follow the exclusion principle. However, the exact role, or * Corresponding author.E-mail address: algora@atomki.hu (A. Algora).relative importance of these two aspects of clusterization among different circumstances are not completely understood yet; the present work is meant to be a contribution to this task. Much attention has been paid to the energetic preference of various cluster-configurations of a nucleus. The methods applied along this line are partly or completely empirical ones, using information gained from the experimental data. Furthermore, most of these works concentrate on the simplest, i.e. binary clusterizations, especially, when the energetic calculation involves (in addition to the experimental binding energies) intercluster potentials, like in the dinuclear system model [1], or in the local potential approach [2]. On the other hand the treatment of the exclusion-principle has to be done microscopically, therefore, apart from the light, or simplest heavy nuclei, it gives rise to large computational difficulties. Due to this fact no systematic studies has been done, and many of the experimentally interesting systems are untouched from this viewpoint.The main point of this Letter is to present a method for the approximative treatment of the exclusion principle, which can be applied both to binary [3] and to ternary (and even to multi) cluster-configurations. The results of these calculations can be combined with those on the energetic sta...

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Ternary clusterization and quadrupole deformation

et al. 2006

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“…Define the channel cluster form factor F , proportional to the overlap between the internal wave function of nucleus A and the internal wave functions of the nuclei A ′ and a, as [73] …”

Section: Introductionmentioning

confidence: 99%

“…The R-matrix reduced width amplitude γ λc for the breakup of a level λ of the nucleus A into A ′ and a in channel c is defined as [72,73] …”

Section: Introductionmentioning

confidence: 99%

New broadBe8nuclear resonances

Page¹

2005

Phys. Rev. C

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“…[2-4, 6, 10]) where cluster coefficients X nl and recoil factors R n are expressed analytically [3,13]. Here and below we use primes to denote WFs that do not depend on the redundant c.m.…”

Section: Formalismmentioning

confidence: 99%

“…In our work we approach the subject starting from the nuclear shell model which is a specific realization of the configuration interaction (CI) method that is broadly used in studies of quantum many-body systems. Shell-model microscopic approach to clustering has been extensively developed in the past [2][3][4][5][6][7][8][9]. The feasibility of solving the nuclear structure problem microscopically and exactly is an attractive feature of the CI.…”

Section: Introductionmentioning

confidence: 99%

Microscopic Theory of α-Particle Resonance Spectra

Tchuvil’sky¹,

Volya²

2015

Proceedings of the Conference on Advances in Radioactive Isotope Science (ARIS2014)

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The nuclear clustering problem is treated microscopically using the shell model configuration interaction approach. The approach, referred to as Cluster-Nucleon Configuration Interaction Model, is facilitated by the SU(3) symmetry of the cluster channels and by Orthogonality Condition Model. The spectroscopic factors for the 6 He+α channel for states of the radioactive nucleus 10 Be are computed. A number of states with pronounced α-clustering properties is predicted. The results are compared to the experimental data.

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Alpha-particle spectroscopic amplitudes and the su(3) model

Cited by 189 publications

References 61 publications

Ternary clusterization and quadrupole deformation

Ternary clusterization and quadrupole deformation

New broadBe8nuclear resonances

Microscopic Theory of α-Particle Resonance Spectra

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