29Si(d,3He)28Al reaction at 29 MeV.

Abstract

The $^{29}\mathrm{Si}$(d${,}^{3}$He${)}^{28}$Al reaction has been investigated at 29 MeV incident energy. Observations using a split-pole magnetic spectrograph have been made of 55 levels of $^{28}\mathrm{Al}$ in the range of excitation energy between 0 and 6.7 MeV. Most of them have been identified with $^{28}\mathrm{Al}$ levels which have been previously observed by other techniques. The spectroscopic factors have been obtained for 23 of these levels through distorted-wave Born approximation analyses of measured angular distributions. The levels at ${\mathit{E}}_{\mathit{x}}$=3.105 and 3.762 MeV have been definitely assigned ${\mathit{J}}^{\mathrm{\ensuremath{\pi}}}$=${1}^{+}$ and ${0}^{+}$, respectively. Four levels which are populated through the pickup of a ${\mathit{l}}_{\mathit{p}}$=1 proton have been observed at ${\mathit{E}}_{\mathit{x}}$=4.998, 5.406, 6.021, and 6.652 MeV. The excitation energies and spectroscopic factors for positive-parity states were compared with the results of a recent, complete sd-shell space, shell-model calculation. This comparison led to the identification of 21 shell-model levels with experimental levels. This comparison seems accurate enough to make very likely the ${\mathit{J}}^{\mathrm{\ensuremath{\pi}}}$=${3}^{+}$ assignment for the levels at ${\mathit{E}}_{\mathit{x}}$=2.988 and 4.597 MeV which were previously assigned ${\mathit{J}}^{\mathrm{\ensuremath{\pi}}}$=(1,3${)}^{+}$.