The components of the nuclear inertia tensor, functions of the separation distance R and of the radius of the light fragment ${\mathit{R}}_2$, ${\mathit{B}}_{\mathit{RR}}$(R,${\mathit{R}}_2$), ${\mathit{B}}_{\mathit{RR}2}$(R,${\mathit{R}}_2$), and ${\mathit{B}}_{{\mathit{R}}_2{\mathit{R}}_2}$(R,${\mathit{R}}_2$) 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 ${\mathit{R}}_2$=${\mathit{R}}_2$(R), the reduced mass is obtained at the touching point. The two one-dimensional parametrizations with ${\mathit{R}}_2$=const, and the volume ${\mathit{V}}_2$=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 ${}_{}{}^{252}{}_{}{}^{}\mathrm{Cf}$ are given.

• Received 24 May 1995

DOI:https://doi.org/10.1103/PhysRevC.52.2636