Inelastic Scattering of 42-MeV Alpha Particles fromK39andV51

Abstract

The results of a study of the inelastic scattering of 42-MeV $\alpha$ particles from the odd nuclei ${\mathrm{K}}^{39}$ and ${\mathrm{V}}^{51}$ are compared with the predictions of the shell model and the weak-coupling collective model. The results of a variety of other experiments are correlated with the present results whenever possible in order to test the predictions of the two models. Some success is found for various states with each model, and, in particular, the 3.60- and 3.90-MeV states of ${\mathrm{K}}^{39}$ are assigned spins of ${\frac{9}{2}}^{-}$ and ${\frac{7}{2}}^{-}$ on the basis of the weak-coupling model, while spins of ${\frac{3}{2}}^{-}$ and ${\frac{5}{2}}^{-}$ are suggested for two states near 4.14 MeV. Good agreement with the data for ${\mathrm{V}}^{51}$ is found by using the shell-model prediction with the $L=2\mathrm{}$ cross sections enhanced by a factor of 4.