Radiative Transition Widths in the1pShell

Abstract

The nuclear wave functions, obtained from a shell model with variable strength of spin-orbit coupling, are used to compute $M1\mathrm{}$ and $E2\mathrm{}$ transition widths. Comparison with experiment is made for ${\mathrm{Be}}^8$, ${\mathrm{B}}^{10}$, ${\mathrm{B}}^{11}$, and ${\mathrm{C}}^{12}$. The agreement is not nearly so good as was that obtained for energy level schemes. The pure $M1\mathrm{}$ transitions are in good agreement with experiment. The values computed for $E2\mathrm{}$ transition strengths are found to be generally low, though about the right order of magnitude. This suggests the need for adding some collective behavior to the model.