Abstract
Static magnetic dipole moments of several axially symmetric rare earth nuclei are computed for the first time in the projected Hartree-Fock approximation using the density matrix expansion effective Hamiltonian. Good agreement with experiment is found for even-even nuclei. Results for odd-$A$ nuclei show sensible discrepancies with known experimental values. These discrepancies are primarily attributed to the lack of spin polarization in the present Hartree-Fock wave functions. An estimate of spin polarization effects is also given.NUCLEAR STRUCTURE $^{159}\mathrm{Tb}$, $^{154}\mathrm{Sm}$, $^{156}\mathrm{Gd}$, $^{165}\mathrm{Ho}$, $^{166,167}\mathrm{Er}$, $^{174,176}\mathrm{Yb}$, $^{175}\mathrm{Lu}$, $^{180}\mathrm{Hf}$, $^{181}\mathrm{Ta}$; calculated static $M1$ moments. Angular momentum projected Hartree-Fock approximation.
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