Statistical model of nuclide shell structure

Chen Dayou
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Abstract

This thesis, after a systematic and in-depth analysis of known nuclides, pro-poses a new model of nuclides’ shell structure and offers a table of the shell structures of 935 nuclides. With this theoretic approach, the thesis studies the shell combination with a bias towards the statistical analysis of nuclide structures. This thesis distinguishes between the basic models of nuclides and gives 7criteria for nu-clide binding, the maximal nucleonic number of each shell (ΔAi ), combination of proton and neutron (p/n) and graphs of the nuclide growth. Based on magnetic moment, it also conducts a quantitative analysis of p/n on the shell. The nuclide structure has the characteristic of a shell and on every shell the combination of proton and neutron features clear regularity. Among the 263 elements from 11 H to 263106 Sg the serial number of the most outside shell in structure are 7, and nuclides 262105 Ha and 263106 Sg are respectively even A and odd A 7 shells. It is not a coincidence but a reflection of the nuclide shell structure. The thesis uses the result of a statistical analysis to confirm the existence of “the magic Number” and reveals the fact that the magic number” is a reflection of p/n on nuclide shell, particularly on the outer shells. The statistical analysis reveals that the nuclide stability and its way of decay are dependent on the nucleonic combination on the most outside shell and the matching between full-filled and semi-full filled p/n, thus unveiling the general law governing the stability and decay of nuclides.
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核素壳层结构统计模型
本文在对已知核素进行系统深入分析的基础上,提出了一种新的核素壳结构模型,并给出了935种核素的壳结构表。本文采用这种理论方法,偏重于核素结构的统计分析来研究壳层组合。本文对核素的基本模型进行了区分,给出了核素结合、各壳层最大核子数(ΔAi)、质子和中子组合(p/n)和核素生长图的7个判据。基于磁矩,定量分析了壳体上的p/n。核素的结构具有壳层的特征,在每个壳层上,质子和中子的组合具有明显的规律性。在11h ~ 263106 Sg的263个元素中,结构最外层序号为7,核素262105 Ha和263106 Sg分别为偶A壳层和奇a7壳层。这不是巧合,而是核素壳层结构的反映。本文用统计分析的结果证实了“幻数”的存在,揭示了“幻数”是p/n在核素壳层,特别是外层壳层上的反映。统计分析表明,核素的稳定性及其衰变方式取决于最外层的核子组合以及满填和半满填的p/n的匹配,从而揭示了核素稳定性和衰变的一般规律。
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