(p, t) Reactions onSc45andCa44and the Weak-Coupling Core-Excitation Model

From a study of the ($p, t$) reaction on ${}_{}{}^{45}{}_{}{}^{}\mathrm{Sc}$ and ${}_{}{}^{44}{}_{}{}^{}\mathrm{Ca}$, $J^{\pi }$ of the 1.41-MeV state in ${}_{}{}^{43}{}_{}{}^{}\mathrm{Sc}$ is inferred to be ${\frac{7}{2}}^{-}$. It is found that both the absolute cross sections and angular distribution shapes for this transition are almost identical with those for the transition to the 1.84-MeV $0_2^{+}$ state in ${}_{}{}^{42}{}_{}{}^{}\mathrm{Ca}$ (as are the corresponding ground-state transitions). It is suggested that the 1.41-MeV state in ${}_{}{}^{43}{}_{}{}^{}\mathrm{Sc}$ consists primarily of the $0_2^{+}$ excited state of the ${}_{}{}^{42}{}_{}{}^{}\mathrm{Ca}$ core with an $f_{\frac{7}{2}}$ proton weakly coupled to it, just as ${}_{}{}^{43}{}_{}{}^{}\mathrm{Sc}$(g.s.) consists mainly of ${}_{}{}^{42}{}_{}{}^{}\mathrm{Ca}$(g.s.) plus an $f_{\frac{7}{2}}$ proton.