Validity of the Generalized Density Matrix Method for Microscopic Calculation of Collective/Bosonic Hamiltonian

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.

References in corpus (2)

• Generalized Density Matrix Revisited: Microscopic Approach to Collective Dynamics in Soft Spherical Nuclei
• Equivalent Representations of Collective Hamiltonian and Implication on Generalized Density Matrix Method

Cited by in corpus (3)

• A Number-Conserving Theory for Nuclear Pairing
• Accuracy of the new pairing theory and its improvement
• $2\nu \beta \beta$-decay to first $2^{+}$ state with partial isospin symmetry restoration from spherical QRPA calculations