Nuclear Structure Studies in the Tin Isotopes with (d, p) and (d, t) Reactions

The neutron single-particle states in the odd isotopes of tin are identified by ($d, p$) angular distribution studies. The cross sections for exciting these states by ($d, p$) and ($d, t$) reactions are measured, and the results are analyzed to give values of ${V_j}^2$ (in Kisslinger-Sorens$\stackrel{\mathrm{̇}}{\mathrm{o}}$n notation), the fraction by which each of the single-particle states is full, for each subshell in each isotope. These are used to calculate ${\epsilon }_j$, the unperturbed single-particle energies; the results are reasonably consistent. If the observed energies of single-particle states are used to predict the $V_j$, the agreement is generally good, but some discrepancies are noted and an explanation is offered.