Validity of the Generalized Density Matrix Method for Microscopic Calculation of Collective/Bosonic Hamiltonian
Nuclear Theory
2015-06-04 v1 Mesoscale and Nanoscale Physics
Abstract
Recently a procedure by generalized density matrix (GDM) is proposed for calculating a collective/bosonic Hamiltonian microscopically from the shell-model Hamiltonian. In this work we examine the validity of the method by comparing the GDM results with that of the exact shell-model diagonalization in a number of models. It is shown that the GDM method reproduces the low-lying collective states quite well, both for energies and transition rates, across the whole region going from vibrational to gamma-unstable and deformed nuclei.
Keywords
Cite
@article{arxiv.1204.6420,
title = {Validity of the Generalized Density Matrix Method for Microscopic Calculation of Collective/Bosonic Hamiltonian},
author = {L. Y. Jia and V. G. Zelevinsky},
journal= {arXiv preprint arXiv:1204.6420},
year = {2015}
}