论文标题
核水平密度集体增强的微观模型
Microscopic model for the collective enhancement of nuclear level densities
论文作者
论文摘要
基于能量密度功能的框架，开发了用于计算核水平密度（NLD）的微观方法。固有水平的密度是从有限温度的自一并且平均场（SCMF）计算中获得的单质量粒子光谱计算的，该计算考虑了核变形，并通过选择能量密度功能（EDF）和配对相互作用来指定。总水平密度是通过将固有密度与相应的集体水平密度进行的，该密度由五维四维四极管或四极加八杆元组集体集体汉密尔顿的特征性确定。使用相同的EDF和配对相互作用来确定哈密顿量（惯性参数，集体电位）的参数（惯性参数，集体电位）。该模型适用于$^{94,96,98} $ MO，$^{106,108} $ pd，$^{106,112} $ cd，$^{160,162,164} $^{160,162,164} $^{166} $^{166} $ er，以及$^170,172}的计算。结果表明，从相应的集体汉密尔顿人的本征状计算的固有水平密度的集体增强导致总NLD与在测量值的整个能量范围内非常吻合的总NLD。
A microscopic method for calculating nuclear level densities (NLD) is developed, based on the framework of energy density functionals. Intrinsic level densities are computed from single-quasiparticle spectra obtained in a finite-temperature self-consistent mean-field (SCMF) calculation that takes into account nuclear deformation, and is specified by the choice of the energy density functional (EDF) and pairing interaction. The total level density is calculated by convoluting the intrinsic density with the corresponding collective level density, determined by the eigenstates of a five-dimensional quadrupole or quadrupole plus octupole collective Hamiltonian. The parameters of the Hamiltonian (inertia parameters, collective potential) are consistently determined by deformation-constrained SCMF calculations using the same EDF and pairing interaction. The model is applied in the calculation of NLD of $^{94,96,98}$Mo, $^{106,108}$Pd, $^{106,112}$Cd, $^{160,162,164}$Dy, $^{166}$Er, and $^{170,172}$Yb, in comparison with available data. It is shown that the collective enhancement of the intrinsic level density, consistently computed from the eigenstates of the corresponding collective Hamiltonian, leads to total NLDs that are in excellent agreement with data over the whole energy range of measured values.
