Microscopic derivation of the Bohr-Mottelson collective Hamiltonian and its application to quadrupole shape dynamics
Abstract
We discuss the nature of the low-frequency quadrupole vibrations from small-amplitude to large-amplitude regimes. We consider full five-dimensional quadrupole dynamics including three-dimensional rotations restoring the broken symmetries as well as axially symmetric and asymmetric shape fluctuations. Assuming that the time-evolution of the self-consistent mean field is determined by five pairs of collective coordinates and collective momenta, we microscopically derive the collective Hamiltonian of Bohr and Mottelson, which describes low-frequency quadrupole dynamics. We show that the five-dimensional collective Schr\"odinger equation is capable of describing large-amplitude quadrupole shape dynamics seen as shape coexistence/mixing phenomena. We summarize the modern concepts of microscopic theory of large-amplitude collective motion, which is underlying the microscopic derivation of the Bohr-Mottelson collective Hamiltonian.
Keywords
Cite
@article{arxiv.1606.08547,
title = {Microscopic derivation of the Bohr-Mottelson collective Hamiltonian and its application to quadrupole shape dynamics},
author = {Kenichi Matsuyanagi and Masayuki Matsuo and Takashi Nakatsukasa and Kenichi Yoshida and Nobuo Hinohara and Koichi Sato},
journal= {arXiv preprint arXiv:1606.08547},
year = {2016}
}
Comments
62 pages, 6 figures, Review article, Invited Comment in Focus Issue of Physica Scripta to celebrate the 40-year anniversary of the 1975 Nobel Prize to A. Bohr, B. R. Mottelson and L. J. Rainwater (Phys. Scr. 91 (2016) 063014). arXiv admin note: text overlap with arXiv:1606.04717