Localizedlwindow from partial fusion reactions accompanied by proton, deuteron, and triton emission

A high and localized spin population associated with partial fusion reactions has been established through the measurement of $\gamma$-ray multiplicity in coincidence with fast forward $p$, $d$, or $t$ produced by 167-MeV ${}_{}{}^{14}{}_{}{}^{}\mathrm{N}$ on ${}_{}{}^{154}{}_{}{}^{}\mathrm{Sm}$. The average $\gamma$ multiplicities are constant ($M_{\gamma }=31\mathrm{}$) for all the yrast transitions up to spin $26\hslash$ in ${}_{}{}^{158}{}_{}{}^{}\mathrm{Er}$, which implies that no spins up to $26\hslash$ were populated initially. The deduced average angular momentum transferred is $63\hslash$, which is comparable to the critical angular momentum $l_{\mathrm{cr}}$ predicted for the fusion of ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$ and ${}_{}{}^{154}{}_{}{}^{}\mathrm{Sm}$. The mass distribution of the residual nuclei is appreciably narrower than that for compound nuclear reactions, and this gives another indication of the narrow $l$ window.