G. Lévai

Algebraic C12+12C cluster model of the Mg24 nucleus

A semimicroscopic algebraic [sup 12]C+[sup 12]C cluster model is applied to describe the structure of the [sup 24]Mg nucleus. The spectrum of the [ital T]=0 states is analyzed in terms of this configuration with [sup 12]C clusters allowed to occupy their 0[sup +](0.0 MeV), 2[sup +](4.439 MeV), and 4[sup +](14.038 MeV) states. About a hundred experimental levels below [ital E][sub [ital x]][congruent]16 MeV are assigned to model bands. A large number of observed reduced [ital E]2 transition probabilities are reproduced fairly well indicating the approximate realization of SU(3) dynamical symmetry. The spectrum of molecular resonances is also described reasonably well. [ital E]2 transitions within this region are found to be significantly weaker than what has been predicted by other models.

The Semimicroscopic Algebraic Cluster Model: I. — Basic concepts and relations to other models

SummaryThe basic concepts of the Semimicroscopic Algebraic Cluster Model, and its relation to other approaches are reviewed. Possible extensions to heavy nuclei and the connection to cold fission are also discussed.

Algebraic [sup 12]C+[sup 12]C cluster model of the [sup 24]Mg nucleus

A semimicroscopic algebraic [sup 12]C+[sup 12]C cluster model is applied to describe the structure of the [sup 24]Mg nucleus. The spectrum of the [ital T]=0 states is analyzed in terms of this configuration with [sup 12]C clusters allowed to occupy their 0[sup +](0.0 MeV), 2[sup +](4.439 MeV), and 4[sup +](14.038 MeV) states. About a hundred experimental levels below [ital E][sub [ital x]][congruent]16 MeV are assigned to model bands. A large number of observed reduced [ital E]2 transition probabilities are reproduced fairly well indicating the approximate realization of SU(3) dynamical symmetry. The spectrum of molecular resonances is also described reasonably well. [ital E]2 transitions within this region are found to be significantly weaker than what has been predicted by other models.

AlgebraicC12+12C cluster model of theMg24nucleus

A semimicroscopic algebraic [sup 12]C+[sup 12]C cluster model is applied to describe the structure of the [sup 24]Mg nucleus. The spectrum of the [ital T]=0 states is analyzed in terms of this configuration with [sup 12]C clusters allowed to occupy their 0[sup +](0.0 MeV), 2[sup +](4.439 MeV), and 4[sup +](14.038 MeV) states. About a hundred experimental levels below [ital E][sub [ital x]][congruent]16 MeV are assigned to model bands. A large number of observed reduced [ital E]2 transition probabilities are reproduced fairly well indicating the approximate realization of SU(3) dynamical symmetry. The spectrum of molecular resonances is also described reasonably well. [ital E]2 transitions within this region are found to be significantly weaker than what has been predicted by other models.