Nuclear Structure Studies in the Zinc Isotopes with Stripping Reactions

Abstract

The ($d, p$) reactions on ${\mathrm{Zn}}^{64}$, ${\mathrm{Zn}}^{66}$, ${\mathrm{Zn}}^{67}$, and ${\mathrm{Zn}}^{68}$ were studied with ∼90-keV resolutions and analyzed with distorted-wave Born approximation calculations. About 20 levels from each of these reactions are identified and assigned to shell-model states. Sum rules are applied to estimate the degree of the filling of these. The results for this and locations of the "centers of gravity" of the shell-model levels are compared with results for isotonic nuclei, and with pairing theory. Measurements on ($d, t$) reactions are also included; among other things, they indicate that the 39th and 40th neutrons go predominantly into $g_{\frac{9}{2}}$ rather than $p_{\frac{1}{2}}$ states.