Abstract
The results of precise measurements of the energies of the and muonic x-ray transitions of , , , , , , , , , , , , , , , and , are reported. Using a highly linear digitally stabilized Ge(Li) spectrometer system, the absolute energies and energy shifts between nuclei were measured with total errors of approximately 40-60 eV (110 eV for ). The data were analyzed in terms of the Barrett moments of the nuclear charge distributions from which the equivalent nuclear radii and the isotopic and isotonic differences were computed. Particular attention was given to higher-order corrections of the energies of the muonic states. Appropriate quantum-electrodynamical corrections were calculated to all significant orders. Nuclear polarization corrections for multipole interactions up to and including were computed for each isotope. The isotone shifts for even isotopes show a strong shell closure effect at , which is quite independent of the neutron number. The isotope shifts between even nuclei decrease smoothly and uniformly with increasing from to and are essentially independent of . This unexpected behavior suggests that the added neutrons interact with the entire proton core rather than with the valence protons. The isotope shift results show a pronounced odd-even staggering effect, which, however, is somewhat smaller than theoretical predictions. The isotone series -- , which is just below the shell closure, shows strong odd-even staggering, whereas the series - - and -- just above exhibit only a very small staggering effect. A comparison of the experimental data of the rms radii with the results of spherically constrained Hartree-Fock calculations shows good agreement for all four Zn isotopes and the heavier Ni isotopes (, , ), but poor agreement for the Fe isotopes and .
NUCLEAR STRUCTURE, MOMENTS , , , ; measured muonic x-ray spectra; deduced nuclear charge parameters, isotope and isotone shifts. Calculated quantum-electrodynamic and nuclear-polarization corrections. Compared charge parameters with Hartree-Fock calculations.
- Received 12 April 1976
DOI:https://doi.org/10.1103/PhysRevC.14.731
©1976 American Physical Society