B(E2;0g.s.+→21+)in18Neand isospin purity inA=18nuclei

Abstract

The ${0}_{\mathrm{g}.\mathrm{s}.}^{+}\ensuremath{\rightarrow}{2}_{1}^{+}$ excitation in the proton-rich nucleus ${}^{18}\mathrm{Ne}$ has been studied via intermediate energy heavy-ion scattering with a beam of this radioactive isotope. The observed $\ensuremath{\gamma}$-ray yields have been combined with coupled channels calculations of the inelastic scattering reactions to obtain the electromagnetic matrix element ${B(E2;0}_{\mathrm{g}.\mathrm{s}.}^{+}\ensuremath{\rightarrow}{2}_{1}^{+}).$ This result is combined with the corresponding results in the mirror nucleus ${}^{18}\mathrm{O}$ and the $T=1$ states in the $N=Z$ nucleus ${}^{18}\mathrm{F}$ as a test of isospin purity.