Abstract

High-energy inelastic electron scattering data for the first excited states in ${\mathrm{Be}}^{9}$ and ${\mathrm{C}}^{12}$ are analyzed from the standpoint of three nuclear models, the alpha-particle model, the Nilsson model, and the spherical shell model. It is found that the spherical shell model with an enhancement of the quadrupole charge distribution by a factor of 2 gives a good fit to the inelastic data as a function of the momentum transfer. The alpha-particle model and Nilsson models, although correctly giving the magnitude of the low momentum transfer data, fail to predict the high momentum transfer data. These models can be used to determine closely the size of the low-energy properties of these nuclei such as the quadrupole moments and gamma-ray lifetimes.

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