Simple relations for nuclear moments. Pt. 1

Various relations for nuclear g-factors are extended, applied and discussed in view of recent experimental data. It is shown that the additivity relation can be used such that most of the corrections to the g-factor are accounted for. The isoscalar and isovector parts of the g-factor are studied in the mass region A<=55 under the assumption of pure jn configurations. For the isoscalar part the discrepancies with experiment are compatible with those for large shell-model calculations. Good results are obtained for the isovector part of the g-factor of ground states in mirror nuclei if both Gamow-Teller matrix elements, extracted from experimental ft values with an effective coupling constant ratio for Fermi and Gamow-Teller transitions, and assumptions on the seniority of the wave functions are used. (orig.)