Coexistence in the even zinc isotopes

Abstract

A generalized two-state coexistence model developed to describe the $0^{+\mathcal{’}}$ to ground state cross-section ratios in the (p,t) and (t,p) reactions on even-even nuclei is applied to the zinc isotopes. We demonstrate that two-state mixing wave functions for the ground state and excited $0^{+}$ ’ state in ${}_{}{}^{\mathrm{A}}{}_{}{}^{}\mathrm{Zn}$ can quantitatively account for all σ${(0\mathrm{}}^{+\mathcal{’}}$)/σ (g.s.) ratios in Zn(p,t) and Zn(t,p). Finally, we couple these $0^{+}$ wave functions with a set of two-state mixing $2^{+}$ wave functions to describe the E2 transition-rate data in ${}_{}{}^{68}{}_{}{}^{}\mathrm{Zn}$.