Effects of the isoscalar and isovector interaction on the ground-state magnetic moments of odd-mass Ce137-145 nuclei

Abstract

A systematic study of the magnetic properties of deformed odd-neutron Ce137-145 isotopes using the microscopic quasiparticle phonon nuclear model (QPNM) has been presented. The QPNM includes residual spin-spin interaction in both isoscalar and isovector channels. The analysis shows that in the isoscalar channel contributions to the magnetic moment coming from the neutron and proton systems practically cancel out each other. On the other hand, in the isovector channel, the coherent contribution coming from the quasiparticle-phonon interactions leads to a spin polarization (core polarization), which is important for determination of the quenched spin gyromagnetic factors (g(s)). The quenched spin gyromagnetic factors so called g(s)(eff) have been found to range from g(s)(eff) = 0.55g(s)(free) to g(s)(eff) = 0.75g(s)(free) in the odd-mass Ce137-145 isotopic chain, which is similar to its phenomenological value (g(s)(eff) between 0.6g(s)(free) and 0.7g(s)(free)). By taking into consideration the core polarization effects, the available experimental data are satisfactorily reproduced with an accuracy of 0.01 mu(N)-0.1 mu(N).