Surface delta interaction in the g7/2 − d5/2 model space

Using an attractive surface delta interaction we obtain wave functions for 2 neutrons (or neutron holes) in the g7/2−d5/2g7/2−d5/2 model space. If we take the single particle energies to be degenerate we find that the g   factors for I=2,4I=2,4 and 6 are all the same G(J)=glG(J)=gl, the orbital g   factor of the nucleon. For a free neutron gl=0gl=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.