In this work, we calculate the level density parameter for several nuclei by deploying the semiclassical trace formula for spherically symmetric harmonic oscillator potential with spin-orbit interactions, which describes the quantum shell effects in terms of the classical periodic orbits. With the usage of recently proposed Laplace like formula of level density parameter by Canbula et al., the effects of collective rotations and vibrations as well as deformations in nuclei are incorporated. The comparison of our results with the experimental ones show a good agreement. Later on, the study is also extended to the calculation of nuclear level density and survival probability in several superheavy nuclei (SHN).

中文翻译：

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原子核集体增强的半经典能级密度参数

在这项工作中，我们通过部署具有自旋轨道相互作用的球对称谐振子势的半经典轨迹公式来计算几个原子核的能级密度参数，该公式根据经典周期轨道描述了量子壳层效应。使用最近由 Canbula 提出的 Laplace 类水平密度参数公式等。，结合了集体旋转和振动以及原子核变形的影响。我们的结果与实验结果的比较显示出很好的一致性。后来，该研究还扩展到计算几个超重核（SHN）中的核能级密度和存活概率。