Abstract
The two-proton pickup reaction ($^{14}\mathrm{C}$, $^{16}\mathrm{O}$) on the even Mo isotopes was investigated at ${E}_{\mathrm{lab}}=71$ MeV. It was found that the ratio of the ground and first excite ${\mathrm{O}}^{+}$ state cross sections changes dramatically as neutrons are added to the $N=50$ shell. While the reaction $^{92}\mathrm{Mo}$($^{14}\mathrm{C}$, $^{16}\mathrm{O}$)$^{90}\mathrm{Zr}$ populates the ground state three times more strongly than the first excited ${\mathrm{O}}^{+}$ state, for the heaviest isotope $^{98}\mathrm{Zr}$, the excited ${\mathrm{O}}^{+}$ state has twice the population of the ground state. Attempts to explain the cross section ratios by means of distorted-wave Born approximation calculations, based on a complete Brody-Moshinsky decomposition of the two-proton cluster and spherical shell model wave functions, were not successful.NUCLEAR REACTIONS $^{92,100}\mathrm{Mo}$($^{14}\mathrm{C}$, $^{14}\mathrm{C}$)$^{92,100}\mathrm{Mo}$, ${E}_{\mathrm{lab}}=71$ MeV; measured $\ensuremath{\sigma}(\ensuremath{\theta})$; elastic and inelastic scattering; $^{92,94,96,98,100}\mathrm{Mo}$($^{14}\mathrm{C}$, $^{16}\mathrm{O}$)$^{90,92,94,96,98}\mathrm{Zr}$ reactions; optical model, DWBA calculations.
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