In nuclear theory, there is always a quest for possible extensions of the nuclear landscape and extending our knowledge to the limits of nuclear existence. In this study, we examine the stability and structural properties of a wide range of nuclei in super- and ultra-heavy region in a phenomenological semi-microscopic approach. we calculated the shell correlation energy, residual pairing correction energy, two-nucleon separation energy and two-nucleon energy gap for 3670 even–even nuclei along β-stability line and two-neutron driplines in the ranges 70 ≤ Z ≤ 274 with 80 ≤ N ≤ 548 and 70 ≤ Z ≤ 212 with 126 ≤ N ≤ 548, respectively. To assure reliability and confidence of the new results in the ultra-heavy region, we extended the search space to include heavy and super-heavy nuclei. We report 83 double magic nuclei and address the predominance of proton and neutron magic numbers. Our calculations reproduced known results on nuclear magicity and present strong evidences on islands of stability and magic numbers in super- and ultra-heavy regions. We also address shifts in nuclear magicity along the nuclear landscape close to the β-stability line and close to the neutron rich regions.

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关于核魔法的新结果和核领域的可能扩展

在核理论中，总是存在对核领域可能扩展的探索，并将我们的知识扩展到核存在的极限。在这项研究中，我们以现象学半显微方法检查了超重和超重区域中各种核的稳定性和结构特性。我们计算了 3670 个偶数核的壳相关能、剩余配对校正能、双核子分离能和双核子能隙β-范围内的稳定线和两个中子滴线70 ≤ Z ≤ 274和80 ≤ ñ ≤ 548和70 ≤ Z ≤ 212和126 ≤ ñ ≤ 548， 分别。为了确保超重区域新结果的可靠性和可信度，我们将搜索空间扩展到包括重核和超重核。我们报告了 83 个双魔核并解决了质子和中子魔数的优势。我们的计算重现了关于核魔力的已知结果，并为超重和超重区域的稳定性岛和魔数提供了强有力的证据。我们还解决了核魔力在核领域附近的变化β-稳定线和靠近中子丰富的区域。