Electromagnetic properties of isomers inPb210

The lifetimes and magnetic moments of the $J^{\pi }=8^{+} \mathrm{and} 6^{+}$ isomers in ${}_{}{}^{210}{}_{}{}^{}\mathrm{Pb}$ have been measured using the gamma-ray perturbed angular distribution technique. The levels were populated with the ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}$(t,p)${}_{}{}^{210}{}_{}{}^{}\mathrm{Pb}$ reaction. The $g$ factors of the $8^{+}$ and $6^{+}$ states are found to be -0.312(8) and -0.312(15), respectively. The magnetic moment, $\mu =-1.42\mathrm{}\left(7\right)\mathrm{}$ ${\mathrm{\mu }}_{\mathrm{n}}$, is deduced for the $2g\frac{9}{2}$ neutron orbital. Mean lifetimes are 290(25) ns for the $8^{+}$ state and 71(9) ns for the $6^{+}$ state. We find $〈g\frac{9}{2}\parallel M\left(E2\mathrm{}\right)\mathrm{}\parallel g\frac{9}{2}〉=-39\mathrm{}\left(2\right)\mathrm{}e$ ${\mathrm{fm}}^2$ and an effective charge of $0.88\left(5\right)\mathrm{}e$ for the $2g\frac{9}{2}$ neutron orbital.