Shell-model calculations with Woods-Saxon wave functions in O and Ca

Two-particle states of ¹⁸O and ⁴²Ca are calculated within the shell model. The nuclear cores are represented by Woods-Saxon potentials, and for the residual interaction, central forces of Yukawa and Gaussian types are used. The wave functions for the low-lying states except for the O₂⁺ and 2₂⁺ states in ⁴²Ca are obtained, and the calculated energy spectra are in good agreement with experiments. Also E2 transitions are calculated and compared with experimental results.