Energy Levels inV47,49,51andMn51,53,55from (He3,d) Reactions

Abstract

The ${\mathrm{Ti}}^{46,48,50}({\mathrm{He}}^{3}, d){\mathrm{V}}^{47,49,51}$ and ${\mathrm{Cr}}^{50,52,54}({\mathrm{He}}^{3}, d){\mathrm{Mn}}^{51,53,55}$ reactions are studied with high resolution at 10- and 9.5-MeV incident energies, respectively. The $l$ values and spectroscopic factors are extracted by means of the distorted-wave Born-approximation calculations. A systematic study of the ${p}_{\frac{3}{2}}$ centroid energies, of the ${d}_{\frac{3}{2}}$ and ${s}_{\frac{1}{2}}$ proton hole states, and of the splitting of the ${p}_{\frac{3}{2}}$ spectroscopic strength is presented. These quantities, and also the individual energy spectra, are compared with the expectations of the shell model and the Coriolis strong-coupling model. It is concluded that the shell model adequately describes these nuclei, while the Coriolis strong-coupling model fails to explain the observed splitting of the ${p}_{\frac{3}{2}}$ spectroscopic strength.