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arXiv 2112.09563nucl-th
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远离$β$稳定线的核能级密度

Nuclear level densities away from line of $β$-stability

T. Ghosh, B. Maheshwari, Sangeeta, G. Saxena, B. K. Agrawal

摘要:

研究了在给定质量数的情况下,$β$稳定同位素$Z_{0}$周围的总核能级密度和能级密度参数随质子数$(Z)$的变化.我们进行我们的分析,质量范围$A=40$到180使用的NLD从常用的数据库获得的单粒子能量从两个不同的微观质量模型。这些NLD包括微观结构效应,如集体增强,配对和壳层校正,没有表现出反向抛物线趋势,如先前预测的那样在$Z_{0}$处有一个强峰。我们还利用宏微观质量模型的单粒子能量计算了NLD。一旦集体效应和配对效应被忽略,NLD和相应的能级密度参数的倒抛物线趋势变得有点明显。然而,因子,统治的$(Z-Z_{0})$的依赖性的水平密度参数,导致倒抛物线的趋势,被发现是小的一个数量级。我们进一步发现NLD的$(Z-Z_{0})$依赖性对壳效应非常敏感。

英文摘要:

The variation of total nuclear level densities (NLDs) and level density parameters with proton number $(Z)$ are studied around the $β$-stable isotope, $Z_{0}$, for a given mass number. We perform our analysis for a mass range $A=40$ to 180 using the NLDs from popularly used databases obtained with the single-particle energies from two different microsopic mass-models. These NLDs which include microscopic structural effects such as collective enhancement, pairing and shell corrections, do not exhibit inverted parabolic trend with a strong peak at $Z_{0}$ as predicted earlier. We also compute the NLDs using the single-particle energies from macroscopic-microscopic mass-model. Once the collective and pairing effects are ignored, the inverted parabolic trends of NLDs and the corresponding level density parameters become somewhat visible. Nevertheless, the factor that governs the $(Z-Z_{0})$ dependence of the level density parameter, leading to the inverted parabolic trend, is found to be smaller by an order of magnitude. We further find that the $(Z-Z_{0})$ dependence of NLDs is quite sensitive to the shell effects.

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