Microscopic model for the collective enhancement of nuclear level densities

Jie-Cheng Zhao, T. Nikšić, D. Vretenar
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引用次数: 3

Abstract

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.
核能级密度集体增强的微观模型
基于能量密度泛函的框架,提出了一种计算核能级密度的微观方法。本征能级密度由考虑核变形的有限温度自洽平均场(SCMF)计算得到的单准粒子谱计算得到,并通过选择能量密度泛函(EDF)和配对相互作用来指定。总能级密度是通过将本征密度与相应的集体能级密度卷积来计算的,由五维四极子或四极子加八极子集体哈密顿量的特征态决定。哈密顿量的参数(惯性参数,集体势)一致地由使用相同的EDF和配对相互作用的变形约束的SCMF计算确定。将该模型应用于$^{94,96,98}$Mo、$^{106,108}$Pd、$^{106,112}$Cd、$^{160,162,164}$Dy、$^{166}$Er和$^{170,172}$Yb的NLD计算,并与现有数据进行比较。结果表明,固有能级密度的集体增强,从相应的集体哈密顿量的本征态一致地计算出来,导致总的nld与整个测量值的能量范围内的数据非常一致。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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