610 articles – 3052 Notices  [english version]
 HAL : in2p3-00548569, version 1
 arXiv : 1012.3794
 Simplified modeling of cluster-shell competition in $^{20}$Ne and $^{24}$Mg
 (2010)
 We investigate properties of the Generator Coordinate Method (GCM) on a collective basis of Antisymmetrized Quasi-Cluster (AQC) states to describe the cluster-shell competition in $^{20}$Ne and $^{24}$Mg due to the spin-orbit interaction. By introducing a single additional parameter in the antisymmetrized-cluster basis function, a continuous transformation of the $\alpha$ cluster(s) into independent nucleons can be described. We apply this GCM trial wave function to study in details the transition from cluster states $[ ^{16}$O+$\alpha ]$ and $[ ^{16}$O+$\alpha + \alpha]$ to shell model (SM) states $[ ^{16}$O+${\rm 4N} ]$ and $[ ^{16}$O+${\rm 8N} ]$, respectively. An optimal value of the strength of the spin-orbit interaction is deduced by reproducing level spacing in $^{20}$Ne. A possible connection to the group theoretical understanding of the cluster-shell configuration transition is also discussed.
 Thème(s) : Physique/Physique Nucléaire Théorique
 Lien vers le texte intégral : http://fr.arXiv.org/abs/1012.3794
 in2p3-00548569, version 1 http://hal.in2p3.fr/in2p3-00548569 oai:hal.in2p3.fr:in2p3-00548569 Contributeur : Michel Lion <> Soumis le : Lundi 20 Décembre 2010, 09:46:43 Dernière modification le : Lundi 20 Décembre 2010, 10:43:43