Core excitation in14C and two-proton pickup

Abstract

In two-proton pickup from ${}^{14}$C, the calculated cross-section ratio for the first two 0${}^{+}$ states of ${}^{12}$Be depends on the configuration mixing in these two states and on the amount of core excitation in the ground state (g.s.) of ${}^{14}$C. Using the ${}^{12}$Be wave functions that are reasonably well known, I have calculated this ratio as a function of the core excitation in ${}^{14}$C(g.s.). A measurement of this ratio should allow an independent determination of the ${}^{14}$C mixing---previously estimated to be about 12$%$.