Nodal Lines in the Cranked HFB Overlap kernels

Norm overlap kernels of the cranked Hartree-Fock-Bogoliubov states are studied in the context of angular momentum projection. In particular, the geometrical distribution of nodal lines, i.e., one dimensional structures where the overlap kernels possess null value, is investigated in the three dimensional space defined by the Euler angles. It is important to know the distribution of these nodal lines when one attempts to determine the phase of norm overlap kernels.