超越相对论平均场近似(III):五维集体哈密顿量
Beyond the relativistic mean-field approximation (III): collective Hamiltonian in five dimensions
摘要:
相对论性能量密度泛函的框架进行了扩展,包括相关的恢复打破对称性和集体变量的波动。一个新的实现开发的解决方案的五个维度的集体哈密顿四极振动和旋转自由度的本征值问题,与参数确定的约束自洽相对论平均场计算三轴形状。该模型进行了测试,在一系列的说明性计算的势能面和由此产生的集体激发光谱和跃迁几率的链的偶-偶钆同位素。
英文摘要:
The framework of relativistic energy density functionals is extended to include correlations related to restoration of broken symmetries and fluctuations of collective variables. A new implementation is developed for the solution of the eigenvalue problem of a five-dimensional collective Hamiltonian for quadrupole vibrational and rotational degrees of freedom, with parameters determined by constrained self-consistent relativistic mean-field calculations for triaxial shapes. The model is tested in a series of illustrative calculations of potential energy surfaces and the resulting collective excitation spectra and transition probabilities of the chain of even-even gadolinium isotopes.
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