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arXiv · 1606.08547

Microscopic derivation of the Bohr-Mottelson collective Hamiltonian and its application to quadrupole shape dynamics

Kenichi Matsuyanagi·Masayuki Matsuo·Takashi Nakatsukasa·Kenichi Yoshida·Nobuo Hinohara·Koichi Sato
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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 Schrödinger 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.

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Kenichi Matsuyanagi, Masayuki Matsuo, Takashi Nakatsukasa, Kenichi Yoshida, Nobuo Hinohara, Koichi Sato. 2016-06-28. Microscopic derivation of the Bohr-Mottelson collective Hamiltonian and its application to quadrupole shape dynamics. https://doi.org/10.1088/0031-8949%2F91%2F6%2F063014

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