Studies ofMg25,Mg26, andMg27Nuclei With (d, p) Reactions

By irradiating ${\mathrm{Mg}}^{24}$, ${\mathrm{Mg}}^{25}$, and ${\mathrm{Mg}}^{26}$ targets with 15-MeV deuterons, the proton spectra have been measured at four angles up to high excitation energies of the residual nuclei, and as a result many new levels of ${\mathrm{Mg}}^{25}$, ${\mathrm{Mg}}^{26}$, and ${\mathrm{Mg}}^{27}$ have been identified in the region above the neutron separation energy. The 3.969-MeV level of ${\mathrm{Mg}}^{25}$ and the two unresolved levels of ${\mathrm{Mg}}^{27}$ at 3.76 MeV and 3.78 MeV have angular distributions characteristic of $l=3\mathrm{}$ angular-momentum transfer rather than of $l=2\mathrm{}$. Detailed consideration has been given to the low-lying levels and to the applicability of the distorted-wave Born-approximation (DWBA) method in calculating the single-particle cross sections. From stripping cross sections and related spectroscopic factors, evidence has been obtained that the low-lying levels of ${\mathrm{Mg}}^{26}$ and ${\mathrm{Mg}}^{27}$ may be considered as members of rotational bands, analogous to those of ${\mathrm{Mg}}^{24}$ and ${\mathrm{Mg}}^{25}$, respectively.