Investigation ofd−sShell Nuclei with (d,He3) Reactions

The possibility of studying nuclear structure by ($d$, ${\mathrm{He}}^3$) reactions with 15-MeV deuterons has been investigated and cross sections for transitions to low-lying states measured on a variety of nuclei (${\mathrm{O}}^{16}$, ${\mathrm{F}}^{19}$, ${\mathrm{Al}}^{27}$, ${\mathrm{P}}^{31}$, ${\mathrm{S}}^{32}$, ${\mathrm{Cl}}^{35}$, ${\mathrm{Ca}}^{40}$, ${\mathrm{Ni}}^{58}$, ${\mathrm{Cu}}^{63}$). Using distorted wave Born calculations, the spectroscopic factors have been extracted and some information obtained on the properties of the low-lying states. The ground states of ${\mathrm{O}}^{16}$, ${\mathrm{P}}^{31}$, ${\mathrm{S}}^{32}$, ${\mathrm{Cl}}^{35}$, and ${\mathrm{Ca}}^{40}$ are found to be essentially well described by the shell model. In the ${\mathrm{S}}^{32}$ ground state an admixture of about 13% of ${s_{\frac{1}{2}}}^2{d_{\frac{3}{2}}}^2$ configuration has been established. The first excited state of ${\mathrm{Si}}^{30}$ ($E=2.24\mathrm{}$ MeV, $J=2^{+}$) and the second excited state of ${\mathrm{P}}^{31}$ ($E=2.23\mathrm{}$ MeV, $J={\frac{5}{2}}^{+}$) appear as $d_{\frac{5}{2}}$ hole states. The ratio of spectroscopic factors shows that the ${\mathrm{Mg}}^{26}$ ground state ($J=0^{+}$) and excited state at 1.83 MeV ($J=2^{+}$) are rotational levels of a $K=0\mathrm{}$ band. The probability of finding the deuteron ground state within the ${\mathrm{He}}^3$ ground...