Spectroscopic sum rules for nuclear transfer

The single-particle structure of nuclei remains a subject of considerable experimental and theoretical interest. Much of the information on this subject comes from experiments in which a nucleon is transferred to or from a given nucleus to make states of adjacent nuclei. Such data can be examined critically using sum rules, and the authors describe various non-energy-weighted sum rules for one-nucleon transfers and their applications. For completeness, they include a section on the analogous two-nucleon transfer sum rules. They show how exact spin-dependent sum rules can be used in informative analyses of one-nucleon transfer data on odd-mass nuclei, and how they can be combined with properties of nuclear structure to yield approximate sum rules applicable to a subset of the data.