Speaker
Mr
Gianluca Stellin
(Helmholtz Institut für Strahlen- und Kernphysik (HISKP) - Universität Bonn)
Description
The breaking of rotational symmetry on the lattice for bound eigenstates of the two lightest alpha conjugate nuclei is explored. Moreover, a macroscopic alpha-cluster model is used for investigating the general problems associated with the representation of a physical many-body problem on a cubic lattice. In view of the descent from the 3D rotation group to the cubic group symmetry, the role of the squared total angular momentum operator in the classification of the lattice eigenstates in terms of SO(3) irreps is discussed. In particular, the behaviour of the average values of the latter operator, the Hamiltonian and the inter-particle distance as a function of lattice spacing and size is studied by considering the 0+, 2+, 4+ and 6+ (artificial) bound states of 8Be and the lowest 0+, 2+ and 3− multiplets of 12C. Some preliminary results of the analysis of the 16O spectrum, subject of an incoming paper, are going to be shortly presented.
Summary
The poster that I intend to propose is going to be based on the publication "Breaking and restoration of rotational symmetry in the low-energy spectrum of light alpha-conjugate nuclei on the lattice I: 8Be and 12C" (cf. ArXiv:1806.06109). Besides, also some more recent results concerning the analysis of the spectrum of the 16O nucleus on the lattice are going to be outlined. In case the "poster-mode" is not any more available, the overall contribution can be transposed into a 15-20 minutes presentation.
Primary author
Mr
Gianluca Stellin
(Helmholtz Institut für Strahlen- und Kernphysik (HISKP) - Universität Bonn)
