Coexistence in Ge isotopes and two-neutron transfer

Generalized two-state model wave functions are used to fit the cross section ratio $\frac{\sigma \left(0_2^{+}\right)}{\sigma (\mathrm{g}.\mathrm{s}.\mathrm{})}$ for two-nucleon transfer reactions, in particular, ${}_{}{}^{70,72,74}{}_{}{}^{}\mathrm{Ge}$(t,p) and ${}_{}{}^{72,74,76}{}_{}{}^{}\mathrm{Ge}$(p,t). We fit these ratios with just one parameter which is restricted to lie within a narrow range. We also are able to calculate the ground state and $0_2^{+}$ state wave functions for ${}_{}{}^{68}{}_{}{}^{}\mathrm{Ge}$ and ${}_{}{}^{78}{}_{}{}^{}\mathrm{Ge}$.