g factors of coexisting isomeric states in Pb-188

The $g$ factors of the ${12}^{+}$, ${11}^{\ensuremath{-}}$, and ${8}^{\ensuremath{-}}$ isomeric states in $^{188}\mathrm{Pb}$ were measured using the time-differential perturbed angular distribution method as $g({12}^{+})=\ensuremath{-}0.179(6)$, $g({11}^{\ensuremath{-}})=+1.03(3)$, and $g({8}^{\ensuremath{-}})=\ensuremath{-}0.037(7)$. The $g$ factor of the ${12}^{+}$ state follows the observed slight down-sloping evolution of the $g$ factors of the ${i}_{13/2}^{2}$ neutron spherical states with decreasing $N$. The $g$ factors of the ${11}^{\ensuremath{-}}$ and ${8}^{\ensuremath{-}}$ isomers proposed as oblate and prolate deformed states, respectively, were interpreted within the rotational model, using calculated and empirical $g$ factor values for the involved single-particle orbitals.