论文标题
基于密度功能理论的相互作用玻色子模型中的振动
Pairing vibrations in the interacting boson model based on density functional theory
论文作者
论文摘要
我们提出了一种基于核密度功能理论的相互作用玻色子模型（IBM）框架中形状和配对的集体自由度之间耦合的方法。为了说明配对振动，引入了玻色子数非连接的IBM Hamiltonian。哈密顿量是通过基于通用能量密度和配对力的自洽均值计算解决方案来构建的，对轴对称性四极杆和配对固有变形的限制。通过将所得的四极对势能表面映射到玻色子冷凝水状态中玻色粒汉密尔顿的预期值中，确定了玻色子汉密尔顿的强度参数。对$^{122} $ XE执行说明性计算，并在对稀有地球$ n = 92 $ isotones的更系统的研究中进一步探讨了该方法。包含动态配对程度的自由度可以显着降低基于激发$ 0^+$状态的频段的能量。结果与光谱数据有定量一致，并且与使用集体汉密尔顿方法获得的结果一致。
We propose a method to incorporate the coupling between shape and pairing collective degrees of freedom in the framework of the interacting boson model (IBM), based on the nuclear density functional theory. To account for pairing vibrations, a boson-number non-conserving IBM Hamiltonian is introduced. The Hamiltonian is constructed by using solutions of self-consistent mean-field calculations based on a universal energy density functional and pairing force, with constraints on the axially-symmetric quadrupole and pairing intrinsic deformations. By mapping the resulting quadrupole-pairing potential energy surface onto the expectation value of the bosonic Hamiltonian in the boson condensate state, the strength parameters of the boson Hamiltonian are determined. An illustrative calculation is performed for $^{122}$Xe, and the method is further explored in a more systematic study of rare-earth $N=92$ isotones. The inclusion of the dynamical pairing degree of freedom significantly lowers the energies of bands based on excited $0^+$ states. The results are in quantitative agreement with spectroscopic data, and are consistent with those obtained using the collective Hamiltonian approach.
