(d, p) Reactions in the Pb Isotopes and Their Interpretation

$Q$ values and differential cross sections have been measured for nuclear states excited by the ${\mathrm{Pb}}^{206}(d, p){\mathrm{Pb}}^{207}$, ${\mathrm{Pb}}^{207}(d, p){\mathrm{Pb}}^{208}$, and ${\mathrm{Pb}}^{208}(d, p){\mathrm{Pb}}^{209}$ reactions. The known properties of the ${\mathrm{Pb}}^{206}$ ground state, the low-lying states of ${\mathrm{Pb}}^{207}$, and the ${\mathrm{Pb}}^{208}$ ground state are used to confirm the possibility of a stripping interpretation for these reactions. This interpretation is used to suggest possible assignments for the other observed states in ${\mathrm{Pb}}^{207}$ and ${\mathrm{Pb}}^{209}$; in particular, the ground state of ${\mathrm{Pb}}^{209}$ is consistent with a $g_{\frac{9}{2}}$ assignment. The first excited state of ${\mathrm{Pb}}^{209}$ does not seem to behave like a single-particle state.