Spectroscopic-Factor Ratios for States of the SameI−πfrom (d, p) Reactions at Different Energies

In a previous study, ratios of spectroscopic factors from ($d, p$) reactions for $l=4\mathrm{}$ transitions to various ${\frac{7}{2}}^{+}$ states were found to vary strongly with bombarding energy in the Pd isotopes. As this represents a breakdown in basic one-nucleon-transfer theory, the possibility that this breakdown extends to $l=0\mathrm{}$ and $l=2\mathrm{}$ transitions was investigated in these isotopes. Measurements of ratios of spectroscopic factors for various transitions were made at 8-, 12-, and 17-MeV bombarding energies. The results at the three energies agree within experimental error, which indicates that the theory does not break down for these transitions. Differences in angular distributions for transitions with the same ($n, l, j$) to different nuclear states were noted in three cases. There is evidence that the ratio of cross sections for $d_{\frac{5}{2}}$ and $d_{\frac{3}{2}}$ excitations may vary much more between 8 and 12 MeV than is predicted by distorted-wave Born-approximation calculations.