Multishell shell model for heavy nuclei

Performing a shell-model calculation for heavy nuclei has been a long-standing problem in nuclear physics. Here, we propose one possible solution. The central idea of this proposal is to combine the advantages of two existing models, the projected shell model (PSM) and the fermion dynamical symmetry Model (FDSM), to construct a multishell shell model. The PSM is an efficient method of coupling quasiparticle excitations to the high-spin rotational motion, whereas the FDSM contains a successful truncation scheme for the low-spin collective modes from the spherical to the well-deformed region. The new shell model is expected to describe simultaneously the single-particle and the low-lying collective excitations of all known types, yet keeping the model space tractable even for the heaviest nuclear systems.