原子核集体转动-振动模型的微观推导，轴对称情形
核理论
2015-10-29 v4
摘要
我们推导了成功的 Bohr-Davydov-Faessler-Greiner 现象学流体动力学模型对于轴对称形变核集体转动-振动运动的微观版本。该推导不限于小振荡振幅。核薛定谔方程被正则变换到集体坐标，随后使用约束变分方法线性化。相关约束施加在波函数上而非粒子坐标上。该方法给出三个自洽、时间反演不变、推转类型的薛定谔方程，用于转动-振动和内部运动，以及一个自洽方程。对于谐振子平均场势，这些方程以封闭形式求解并应用于一些轴对称核的基态转动带。结果与测量数据比较。
引用
@article{arxiv.1502.07590,
title = {A microscopic derivation of nuclear collective rotation-vibration model, axially symmetric case},
author = {Parviz Gulshani},
journal= {arXiv preprint arXiv:1502.07590},
year = {2015}
}
备注
The Rev 4 version of the article revises the Rev 3 version to: (i) reduce the size of the article by deleting some of the equations in Sections 2 and 3, (ii) to clarify the physical interpretation of the results in Eqs. (25) and (26), and the comparison of the model to the other models in Section 4, and (iii) to the add the results of the model application to another heavy nucleus