论文标题

基于相对论能量密度功能的镉同位素的形状共存和入侵状态的集体模型描述

Collective-model description of shape coexistence and intruder states in cadmium isotopes based on a relativistic energy density functional

论文作者

Nomura, K., Karakatsanis, K. E.

论文摘要

使用基于核密度功能理论的集体模型分析了均匀的$^{108-116} $ CD同位素的低能结构。光谱性特性是通过求解三轴四极杆集体汉密尔顿的,其参数由相对论性的Hartree-Bogoliubov方法中的约束自洽的平均场计算确定,该方法采用通用能量密度函数和配对力来确定。集体汉密尔顿人在平均场势能表面中基于中等变形的平衡最小值基于观察到的四极声子状态。此外,该计算产生了低洼的激发$ 0^+$频段和$γ$振动的频段,与局部最小值的变形局部能量与基态相关,并与这些频段作为入侵者频段的经验解释一致。通常,观察到的能量光谱,$ b(e2)$和$ρ^2(e0)$ values的复制相当不错。

Low-energy structure of even-even $^{108-116}$Cd isotopes is analyzed using a collective model that is based on the nuclear density functional theory. Spectroscopic properties are computed by solving the triaxial quadrupole collective Hamiltonian, with parameters determined by the constrained self-consistent mean-field calculations within the relativistic Hartree-Bogoliubov method employing a universal energy density functional and a pairing force. The collective Hamiltonian reproduces the observed quadrupole phonon states of vibrational character, which are based on the moderately deformed equilibrium minimum in the mean-field potential energy surface. In addition, the calculation yields a low-lying excited $0^+$ band and a $γ$-vibrational band that are associated with a deformed local minimum close in energy to the ground state, consistently with the empirical interpretation of these bands as intruder bands. Observed energy spectra, $B(E2)$, and $ρ^2(E0)$ values are, in general, reproduced reasonably well.

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