论文标题
基于核能密度功能的集体哈密顿量中形状和配对振动的耦合
Coupling of shape and pairing vibrations in a collective Hamiltonian based on nuclear energy density functionals
论文作者
论文摘要
基于相对论能量密度函数的四极集集体哈密顿量扩展到包括配对的集体坐标。除了四极形振动和旋转外，该模型还描述了配对振动以及形状和配对自由度之间的耦合。集体哈密顿量的参数取决于固有形状和配对变形的空间中约束的自洽相对论平均野外和Bardeen-Cooper-Schrieffer（RMF+BCS）计算。在对低能光谱和四个轴向对称$ n = 92 $稀土同酮的过渡速率的研究中，分析了形状和配对程度之间的耦合的影响。与标准四极集体集体哈密顿量获得的结果相比，动态配对的包含增加了惯性的力矩，降低了激发$ 0^+$状态的能量，并降低了E0型转变强度，与数据更好地一致。
The quadrupole collective Hamiltonian, based on relativistic energy density functionals, is extended to include a pairing collective coordinate. In addition to quadrupole shape vibrations and rotations, the model describes pairing vibrations and the coupling between shape and pairing degrees of freedom. The parameters of the collective Hamiltonian are determined by constrained self-consistent relativistic mean-field plus Bardeen-Cooper-Schrieffer (RMF+BCS) calculations in the space of intrinsic shape and pairing deformations. The effect of coupling between shape and pairing degrees of freedom is analyzed in a study of low-energy spectra and transition rates of four axially symmetric $N=92$ rare-earth isotones. When compared to results obtained with the standard quadrupole collective Hamiltonian, the inclusion of dynamical pairing increases the moment of inertia, lowers the energies of excited $0^+$ states and reduces the E0-transition strengths, in better agreement with data.
