Signature and angular momentum in 3d-cranked HFB states

In terms of the exact angular momentum projection, properties of the three dimensional cranked HFB (3d-CHFB) states are analyzed quantitatively in the context of the relation between the signature of an intrinsic symmetry and the parity of angular momentum, (−1)I. We found that the tilted states have favorable features to describe states involved with high-K quantum number and/or odd total angular momentum I. This implies that 3d-CHFB can describe properly the backbending phenomena like a “t-band and g-band” crossing, which is suggested in N=106 isotones.