Intrinsic g(K) factors of odd-mass Lu167-179 isotopes

Abstract

In this paper, g(K)-factors of the intrinsic magnetic moments and effective spin gyromagnetic factors (g(s)(eff)) of the Lu167-179 isotopes have been studied within the Tamm-Dancoff approximation (TDA) (Kuliev et al, Sov. J. Nucl. Phys. 9, 185 (1969)) by using a realistic potential such as Woods-Saxon potential for the first time. The effects of the spin-spin and spin-isospin interactions on magnetic moments were investigated. The results of the theoretical calculations are compared with the experimental data for related nuclei. The experimental values of g(K) and g(s)(eff) were computed from the observed magnetic moments (Georg et al, Eur. Phys. J. A3, 225 (1998)) using the spin matrix elements. The theoretical predictions for the g(K) factors exhibit good agreement with the experimental g(K) factors with increasing mass number A of the lutetium isotopes. The strongest influence of the neutron-proton spin interaction occurs at q = -1. Sufficient agreement between the calculated and the experimental values of g(K) is obtained for kappa = (45/A) MeV and q = -1.