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arXiv · 1204.6420

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

L. Y. Jia·V. G. Zelevinsky
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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.

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L. Y. Jia, V. G. Zelevinsky. 2012-04-28. Validity of the Generalized Density Matrix Method for Microscopic Calculation of Collective/Bosonic Hamiltonian. https://doi.org/10.1103/physrevc.86.014315

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