AI 中文总结
该研究开发了基于RDFT的微观统计模型，结合BCS理论等计算NLD，以⁹⁸Sr为例探究形变效应的微观起源，其结果可合理描述实验NLD及中子共振间距。
AI 中文摘要
本文开发了一种基于相对论密度泛函理论（RDFT）的微观统计模型，用于计算核能级密度（NLD）。该方法采用从RDFT获得的自洽单粒子能级作为输入，在有限温度的巴丁-库珀-施里弗（BCS）理论框架内纳入对关联，并考虑转动和振动的集体增强效应。自旋截止参数由单粒子能级计算得出，从而自然保留了壳效应以及不同原子核的结构特征。以形状共存核⁹⁸Sr为代表示例，研究了形变效应对NLD的微观起源。此外，将计算得到的NLD与各种唯象模型、微观模型的结果以及可用实验数据进行了系统比较。结果表明，尽管不同模型间存在一定差异，但它们呈现出一致的整体演化趋势。同时，基于RDFT的微观统计方法能够对实验NLD以及s波、p波中子共振间距提供合理描述。
英文摘要
A microscopic statistical model based on the relativistic density functional theory (RDFT) is developed to calculate the nuclear level density (NLD). The approach employs self-consistent single-particle levels obtained from RDFT as input, incorporates pairing correlations within a finite-temperature Bardeen-Cooper-Schrieffer (BCS) theory, and accounts for rotational and vibrational collective enhancement effects. The spin cut-off parameter is calculated from the single-particle levels, thereby naturally retaining the shell effects and the structural characteristics of different nuclei. Using the shape-coexisting nucleus 98Sr as a representative example, the microscopic origin of the deformation effect on the NLD is investigated. In addition, the calculated NLDs are systematically compared with those from various phenomenological and microscopic models, as well as with available experimental data. The results indicate that although certain discrepancies exist among different models, they exhibit consistent overall evolutionary trends. Meanwhile, the RDFT-based microscopic statistical approach is capable of providing a reasonable description of the experimental NLDs as well as the s- and p-wave neutron resonance spacings.
Comments13 pages, 8 figures
Journal refPhysical Review C 114, 024345 (2026)
