Wave functions of the Q.Q interaction in terms of unitary 9-j coefficients

@article{Zamick2013WaveFO,
  title={Wave functions of the Q.Q interaction in terms of unitary 9-j coefficients},
  author={Larry. Zamick and Matthew Harper},
  journal={arXiv: Nuclear Theory},
  year={2013}
}
We obtain wave functions for 2 protons and 2 neutrons in the g_{9/2} shell expressed as column vectors with amplitudes D(J_{p},J_{n}). When we use a quadrupole-quadrupole interaction (Q.Q) we get, in many cases, a very strong overlap with wave functions given by a single set of unitary 9j coefficients --U9j= ((jj)^{2j} (jj^{J_{B}} \ (jj)^{J_{p}} (jj)^{J_{n}})^{I}. Here J_{B}=9 for even I T =0 states. For both even and odd T=1 states we take JB equal to 8 whilst for odd I, T=0 we take JB to be 7… 
1 Citations

Study of the Q.Q interaction

We perform shell model calculations using a quadrupole–quadrupole interaction (Q.Q). We show results in single j shell spaces and the full S-D shell. We show that one gets useful results with Q.Q in