Levels inK38from theCa40(d, α)reaction at 22.8 MeV

Abstract

Twenty levels in $^{38}\mathrm{K}$ up to an excitation energy of 10.26 MeV have been identified in a study of the $^{40}\mathrm{Ca}(d, \ensuremath{\alpha})^{38}\mathrm{K}$ reaction at an incident deuteron energy of 22.8 MeV. Differential cross sections were measured at forty-four angles in an angular range $11\ifmmode^\circ\else\textdegree\fi{}\ensuremath{\le}\ensuremath{\theta}\ensuremath{\le}165\ifmmode^\circ\else\textdegree\fi{}$. Distorted-wave Born approximation analysis has been performed for eight transitions using two-nucleon spectroscopic amplitudes derived from a full $\mathrm{sd}$ shell-model calculation. For other levels, distorted-wave Born approximation calculations were performed assuming simple two-nucleon configurations. The 7.32-MeV level is found to be populated by $L=0+2$ transfer and hence has ${J}^{\ensuremath{\pi}}={1}^{+}$. A newly identified level at 9.88 MeV is found to be excited by $L=2$ transfer and hence has ${J}^{\ensuremath{\pi}}={1}^{+}, {2}^{+}, or {3}^{+}$.NUCLEAR REACTIONS $^{40}\mathrm{Ca}(d, \ensuremath{\alpha})^{38}\mathrm{K}$, ${E}_{d}=22.8$ MeV, measured ${E}_{\ensuremath{\alpha}}$ and $\ensuremath{\sigma}(\ensuremath{\theta}, {E}_{\ensuremath{\alpha}})$, DWBA analysis, deduced levels, $L$ transfer.