Intermediate coupling shell model for Be⁹

Abstract

Energy levels, nuclear moments, and relative deuteron reaction cross sections are calculated for Be⁹ 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 a/K=1.7 for the intermediate coupling parameter of Inglis and at K=1.33 Mev for the Slater integral parameter. The 2.43-Mev state, in particular, is predicted to be 5/2-. The observed magnetic moment is fitted either in extreme jj coupling or once again at a/K=1.7. Certain relative cross sections in the reactions B¹⁰(n, d)Be⁹ and B¹⁰(p, d)B⁹ are calculated and found to be in agreement with experiment.