Intermediate Coupling Shell Model forBe9

Abstract

Energy levels, nuclear moments, and relative deuteron reaction cross sections are calculated for ${\mathrm{Be}}^9$ using a Rosenfeld central and a one-particle spin-orbit interaction. The level structure and the magnetic dipole moment are sensitive functions of the magnitude of the spin-orbit interaction. The best fit to the experimentally found spectrum is given at a value $\frac{a}{K}=1.7\mathrm{}$ for the intermediate coupling parameter of Inglis and at $K=1.33\mathrm{}$ Mev for the Slater integral parameter. The 2.43-Mev state, in particular, is predicted to be $\frac{5}{2}-$. The observed magnetic moment is fitted either in extreme $\mathrm{jj}$ coupling or once again at $\frac{a}{K}=1.7\mathrm{}$. Certain relative cross sections in the reactions ${\mathrm{B}}^{10}(n, d){\mathrm{Be}}^9$ and ${\mathrm{B}}^{10}(p, d){\mathrm{B}}^9$ are calculated and found to be in agreement with experiment.