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.