Theoretical Calculation of the Binding Energy ofO16

Abstract

The second-order perturbation procedure of Bolsterli and Feenberg is applied to the ground state of ${\mathrm{O}}^{16}$. The two-body interaction operator employed has a Serber exchange character with repulsive core and tensor component, determined to give a reasonable fit to the properties of ${\mathrm{H}}^2$, ${\mathrm{H}}^3$, ${\mathrm{He}}^3$, and ${\mathrm{He}}^4$ to the accuracy of the perturbation procedure. The resulting eigenstate for ${\mathrm{O}}^{16}$ is found to have energy eigenvalue -129.2 Mev and rms radius 2.33×${10}^{-13\mathrm{}}$ cm. Coulomb forces are neglected. Components in the wave function different from the zero-order shell-model state are found to have a statistical weight of about 18%.