Surface delta interaction in the g_7/2-d_5/2 model space

Using an attractive surface delta interaction we obtain wave functions for 2 neutrons (or neutron holes) in the g_7/2-d_5/2 model space. If we take the single particle energies to be degenerate we find that the g factors for I=2, 4 and 6 are all the same G(J)=g_l, the orbital g factor of the nucleon. For a free neutron g_l=0, so in this case all 2 particles or 2 holes' g factors are equal to zero. Only the orbital part of the g-factors contributes - the spin part cancels out. We then consider the effects of introducing a single energy splitting between the 2 orbits. We make a linear approximation for all other n values.