Hyperfine Anomaly in Eu Isotopes and the Universiability of the Moskowitz–Lombardi Formula

Abstract

A method for determining the hyperfine anomaly, without using the nuclear magnetic moments, is used on a series of unstable isotopes of Eu. The large number of experimental data in Eu makes it possible to extract the hyperfine anomaly for a number of unstable isotopes. Calculations of the Bohr–Weisskopf effect and hence the hyperfine anomaly are performed using the particle-rotor formalism. The result from the calculations and experiments is compared with other theoretical calculations and the empirical Moskowitz–Lombardi formula. The results show that the Moskowitz–Lombardi formula is not universal.

Precision measurement of the magnetic octupole moment in $^{45}$Sc as a test for state-of-the-art atomic- and nuclear-structure theory

“…The hyperfine anomaly, only measured for a handful of radioactive isotopes (see e.g. [10][11][12][13][14]), would shed light on the distribution of magnetisation inside the nuclear volume [15,16]. In addition to the M1 and E2 moments, µ and Q respectively, the M3 magnetic octupole moment Ω is in principle accessible using existing techniques for radioactive isotopes.…”