用电多极跃迁分析超对称变换$α$ -核势
Analysing supersymmetric transformed $α$-nucleus potentials with electric-multipole transitions
摘要：
α（$^{4}$ He）团簇模型常被用来描述轻核。为了应用于包含重团簇的多团簇体系，我们研究了由相移等效势产生的$α+^{16}$ O和$α+^{40}$ Ca体系的相对波函数.一般来说，集团之间的潜力是深容纳几个冗余的束缚态，应该以适当的方式删除。为了避免这样一个复杂的计算，我们产生了一个浅奇异的潜力，通过使用超对称变换从原来的深势。通过变换的相对波函数的变化用电多极跃迁来量化，电多极跃迁根据其多极性对波函数给出不同的径向灵敏度。尽管原始势和变换势给出了完全相同的相移，但一些观测量被不利地修改。提出了一种获得理想超对称势的可能途径。
英文摘要：
Alpha($^{4}$He)-cluster models have often been used to describe light nuclei. Towards the application to multi-cluster systems involving heavy clusters, we study the relative wave functions of the $α+^{16}$O and $α+^{40}$Ca systems generated from phase-shift-equivalent potentials. In general, a potential between clusters is deep accommodating several redundant bound states which should be removed in an appropriate way. To avoid such a complicated computation, we generate a shallow-singular potential by using supersymmetric transformations from the original deep potential. Changes in the relative wave functions by the transformations are quantified with electric-multipole transitions which give a different radial sensitivity to the wave function depending on their multipolarity. Despite the fact that the original and transformed potentials give exactly the same phase shift, some observables are unfavorably modified. A possible way to obtain a desired supersymmetric potential is proposed.
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