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.

中文翻译：

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集体增强核能级密度的微观模型

基于能量密度泛函的框架，开发了一种用于计算核能级密度（NLD）的微观方法。本征能级密度是根据在有限温度自洽平均场 (SCMF) 计算中获得的单准粒子谱计算得出的，该计算考虑了核变形，并通过选择能量密度函数 (EDF) 和配对相互作用来指定. 总能级密度是通过将固有密度与相应的集体能级密度进行卷积来计算的，该密度由五维四极或四极加八极集体哈密顿量的本征态确定。哈密​​顿量的参数（惯性参数、集体势）始终由变形约束 SCMF 计算使用相同的 EDF 和配对相互作用确定。该模型应用于计算 $^{94,96,98}$Mo, $^{106,108}$Pd, $^{106,112}$Cd, $^{160,162,164}$Dy, $^{166 }$Er 和 $^{170,172}$Yb，与现有数据进行比较。结果表明，根据相应集体哈密顿量的本征态一致计算的内在能级密度的集体增强导致总 NLD 与测量值的整个能量范围内的数据非常一致。