Nuclear shell model — UPSC Physics Optional CSE 2013 Paper II

Write down the nucleonic configuration of {}^{7}\mathrm{Li}, {}^{12}\mathrm{C}, {}^{17}\mathrm{O} and {}^{27}\mathrm{Al} in the ground state of the nuclear shell model and hence calculate the corresponding ground state angular momenta and parities. How do the observed ground state angular momenta and parities agree with those predicted on the basis of shell model?