# Quadrupole shape dynamics in view from a theory of large amplitude collective motion

Source: [Quadrupole shape dynamics in view from a theory of large amplitude collective motion](<https://www.sota2.com/research/paper/68fa312c1e209131ce87c4df>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:53:42.999Z

Authors: M. Matsuo, N. Hinohara, K. Sato, K. Matsuyanagi, T. Nakatsukasa, K. Yoshida

Published: 2014-01-06T08:26:23.000Z

## Abstract

Low-lying quadrupole shape dynamics is a typical manifestation of large amplitude collective motion in finite nuclei. To describe the dynamics on a microscopic foundation, we have formulated a consistent scheme in which the Bohr collective Hamiltonian for the five dimensional quadrupole shape variables is derived on the basis of the time-dependent Hartree-Fock-Bogoliubov theory. It enables us to incorporates the Thouless-Valatin effect on the shape inertial functions, which has been neglected in previous microscopic Bohr Hamiltonian approaches. Quantitative successes are illustrated for the low-lying spectra in $^{68}$Se, $^{30-34}$Mg and $^{58-64}$Cr, which display shape-coexistence, -mixing and -transitional behaviors.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1401.1010>)

[PDF](<https://arxiv.org/pdf/1401.1010.pdf>)
