Proton single-particle states in [sup 21,23]Na through the ([ital d],[ital n]) reaction

Proton single-particle states in [sup 21,23]Na were studied through the ([ital d],[ital n]) reaction on [sup 20,22]Ne at [ital E][sub [ital d]]=25 MeV. Angular distributions of the emitted neutrons leading to the final states up to [ital E][sub [ital x]]=15 MeV were measured. Spectroscopic information has been obtained from an analysis with the adiabatic deuteron breakup approximation, where [ital s]-wave deuteron breakup effects have been included. Proton unbound transitions were analyzed by means of Vincent and Fortune's method. It was found that the observed proton single-particle states in [sup 21,23]Na exhausted almost all the strength for the 2[ital s]1[ital d] shell. The distributions of the 2[ital s]1[ital d] strength were reasonably reproduced by recent 2[ital s]1[ital d] shell model calculations. The occupation probabilities and single-particle energies of the proton orbits near Fermi levels in the ground states of [sup 20,22]Ne were deduced in a framework of combined analysis of the stripping and pickup data on the same target nucleus.