A self-consistent quantal description of high-K states in the tilted-axis cranking model

A self-consistent and quantal description of high-$K$ bands is given in the framework of the tilted-axis cranking model. (With a $\theta=90^{\circ}$ tilt angle with respect to $x$-axis, this cranking model is equivalent to the $z$-axis cranking.) The numerical results of the HFB calculations in this framework are compared with experimental data for two quasi-particle excited bands with $K^{\pi}=6^+$ in $^{178}$W.