The ground-state magnetic moments of odd-mass Hf isotopes

Abstract

In this paper the Quasiparticle-Phonon Nuclear Model (QPNM), based on QRPA (Quasiparticle Random Phase Approximation) phonons, has been utilized to investigate spin polarization effects on the groundstate magnetic properties such as intrinsic magnetic moment (g (K) ) and effective spin gyromagnetic factor (g (s) (eff.) ) of odd-mass deformed Hf165-179 isotopes with K > 1/2. Investigations of the spin polarization effects of the even core on the magnetic moments show that the spin gyromagnetic factors (g (s) ) of the nucleons in the nucleus differ noticeably from the corresponding values for free nucleons and that the spin-spin interactions play an important role in the re-normalization of g (s) factors of the odd-mass Hf165-179 isotopes. In addition, some theoretical predictions are presented for the magnetic moments of Hf-165, Hf-167, and Hf-169, whose ground state magnetic moments haven't been experimentally determined yet.