Formulating the interacting boson model by mean-field methods
Formulating the interacting boson model by mean-field methods
复制标题
DOI：
10.1103/physrevc.81.044307
复制
发表时间：
2010-04
影响因子：
3.1
通讯作者：
K. Nomura;N. Shimizu;T. Otsuka
中科院分区：
文献类型：
--
作者：
K. Nomura;N. Shimizu;T. Otsuka
在一般情况下的低四极集体的相互作用玻色子模型（IBM）的哈密顿量确定微观。在假设反映核力和泡利原理的多核子引起的表面形变可以用玻色子模拟的前提下，将Skyrme力作用下的平均场模型的势能面映射到相应的IBM模型的势能面上，导出了IBM哈密顿量的相互作用强度.这些相互作用强度是随着价核子数的变化而逐渐变化的。通过对粒子数和角动量的精确处理，计算了能量本征值和波函数。我们展示了如何以及该方法的工作原理，以钐同位素为例，一个典型的球形变形的形状相变是成功地再现。我们表明，物理相关的IBM相互作用强度可以确定明确地使用小波分析。此外，通过对角化玻色子哈密顿量，量子力学关联效应可以包括在本征能量中，从而正确地再现了这些核的基本性质。本方法适用于其他几个同位素链，Ba，Ru，Pd，W和Os，在比较的实验数据。我们指出我们的结果的relevancemore »最近提出的临界点对称。给出了在实验未探测的区域（如核图上的{sup 208}Pb的右下角）的重丰中子奇异核的能谱和B（E2）比的预测值。«少
The interacting boson model (IBM) Hamiltonian is determined microscopically for general cases of low-lying quadrupole collectivity. Under the assumption that the multinucleon-induced surface deformations, which reflect nuclear forces and the Pauli principle, can be simulated by bosons, the interaction strengths of the IBM Hamiltonian are derived by mapping the potential energy surface of the mean-field model with Skyrme force onto the corresponding one of the IBM. These interaction strengths turn out to change gradually as functions of valence nucleon numbers. The energy eigenvalues and the wave functions are calculated with the exact treatment of the particle number and the angular momentum. We demonstrate how well the method works by taking Sm isotopes as an example, where a typical spherical-deformed shape-phase transition is reproduced successfully. We show that the physically relevant IBM interaction strengths can be determined unambiguously by the use of wavelet analysis. In addition, by the diagonalization of the boson Hamiltonian, quantum-mechanical correlation effects can be included in the eigenenergies, by which the basic properties of these nuclei are properly reproduced. The present method is applied to several other isotopic chains, Ba, Xe, Ru, Pd, W, and Os, in comparison to the experimental data. We point out the relevancemore » of our results to the recently proposed critical-point symmetries. The predicted spectra and the B(E2) ratios are presented for heavy neutron-rich exotic nuclei in experimentally unexplored regions such as the right-lower corner of {sup 208}Pb on the nuclear chart.« less