玻尔-莫特森集体哈密顿量的微观推导及其在四极形状动力学中的应用
核理论
2016-07-01 v1
摘要
我们讨论了从小振幅到大振幅区域的低频四极振动的性质。我们考虑了完整的五维四极动力学，包括恢复破缺对称性的三维转动以及轴对称和非轴对称的形状涨落。假设自洽平均场的时间演化由五对集体坐标和集体动量决定，我们微观推导了玻尔和莫特森的集体哈密顿量，该哈密顿量描述低频四极动力学。我们表明五维集体薛定谔方程能够描述表现为形状共存/混合现象的大幅四极形状动力学。我们总结了大振幅集体运动微观理论的现代概念，它是玻尔-莫特森集体哈密顿量微观推导的基础。
引用
@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}
}
备注
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