Cranking in Isospace

The response of isovector and isoscalar pairing to generalized rotation in isospace is studied. Analytical expressions for non-selfconsistent solutions for different limiting cases of the model are derived. In particular, the connections between gauge relations among pairing gaps and the position of the isocranking axis are investigated in $N$=$Z$ nuclei. The two domains of collective and non-collective rotation in space are generalized to isospace. The amplitudes for pair-transfer of T=0 and T=1 pairs are also calculated. It is shown that the structure of the T=0 state in odd-odd nuclei prevents any enhancement of pairing transfer also in the presence of strong T=0 correlations. The energy differences of the T=0 and T=1 excitations in odd-odd nuclei are qualitatively reproduced by Total Routhian Surface calculations