Non-empirical Description of Nuclear Collective Motion with Optimized Basis for Generator Coordinate Method (Springer Theses)

This book introduces a novel method to extend the generator coordinate method (GCM) framework by simultaneously determining the weights and the Slater determinants based on the variational principle.Collective motions-a characteristic feature of quantum many-body systems-represent coherent motion of the constituent particles, arising from many-body correlations.In atomic nuclei, various types of collective motion exist, including rotational motion and surface vibrations, as well as phenomena such as giant resonances, shape coexistence, and nuclear fission.Developing theories that describe these collective motions based on the dynamics of individual nucleons is one of the major goals in theoretical nuclear physics, and GCM is a standard approach for this purpose.By incorporating the present extension, the space spanned by the Slater determinants (the collective subspace) becomes optimal for the ground states of the systems. This new approach, referred to as the optimized GCM (OptGCM), i