Two-dimensional nuclear inertia: Analytical relationships

The components of the nuclear inertia tensor, functions of the separation distance R and of the radius of the light fragment R₂, B_RR(R,R₂), B_RR2(R,R₂), and B_R2R2(R,R₂) are calculated within the Werner-Wheeler approximation, by using the parametrization of two intersected symmetric or asymmetric spheres. Analytical relationships are derived. When projected to a path R₂=R₂(R), the reduced mass is obtained at the touching point. The two one-dimensional parametrizations with R₂=const, and the volume V₂=const previously studied, are found to be particular cases of the present more general approach. Illustrations for the cold fission, cluster radioactivity, and α decay of ²⁵²Cf are given.