Nucleon-transfer sum rules have been assessed via a consistent reanalysis of cross-section data from neutron-adding ($d,p$) and -removing ($d,t$) reactions on well-deformed isotopes of Gd, Dy, Er, Yb, and W, with $92\le N\le 108$, studied at the Niels Bohr Institute in the 1960s and 1970s. These are complemented by new measurements of cross sections using the ($d,p$), ($d,t$), and ($p,d$) reactions on a subset of these nuclei. The sum rules, defined in a Nilsson-model framework, are remarkably consistent. A single overall normalization is used in the analysis, which appears to be sensitive to assumptions about the reaction mechanism, and in the case of sums using the ($d,t$) reaction, differs from values determined from reactions on spherical systems.

中文翻译：

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变形核中核子转移和规则的一致性

核子转移总和规则已通过对中子添加（$d，p$）和-删除（$d，Ť$）对Gd，Dy，Er，Yb和W的变形同位素的反应 $92\le ñ\le 108$于1960年代和1970年代在尼尔斯·波尔研究所（Niels Bohr Institute）学习。这些通过使用（$d，p$），（$d，Ť$）， 和 （$p，d$）对这些核子集的反应。在Nilsson模型框架中定义的求和规则非常一致。在分析中使用单个整体归一化，这似乎对有关反应机理的假设敏感，并且在使用（$d，Ť$）反应，不同于根据球面系统反应确定的值。