Solution of the Hartree-Fock-Bogoliubov equations at high angular frequency

We consider solutions to some of the difficulties which arise when Hartree-Fock-Bogoliubov equations are solved at high angular frequency. These are mainly associated with the fact that then instead of particles always decoupling in pairs, may do so singly and hence lead to quasi-particle wavefunctions containing an odd number of particle components in the quasiparticle wave function. These solutions then also lead to a satisfactory, reliable and fast method for connecting the upper and lower branches of the moment of inertia versus square of the angular frequency curve, and usually reproduce the typical S-shape of the curve. We also show the importance of higher (> 0) particle-particle channel coupled angular momentum of the nucleon-nucleon potential for the rotational spectrum of deformed nuclei at high angular momentum. Some unsolved problems and peculiar cases which arise during the solution of Hartree-Fock-Bogoliubov equations are mentioned in the end, which may be a reflection on the unsatisfactory nature of the present method of obtaining higher angular momentum rotational bands.