Proximity potential for deformed, oriented nuclei: Gentle fusion and hugging fusion

The proximity potential is obtained in the form of the generalized pocket formula for a collision between any two symmetric or asymmetric mass, deformed and noncoplanar (including also the case of coplanar) nuclei, having the fixed orientations theta(1) and theta(2) and any azimuthal angle phi(=0(degrees)-90(degrees)). The method is applied first to some illustrative axially symmetric noncoplanar nuclei with the known gentle- and hugging-fusion configurations (theta(1)=theta(2)=90(degrees),phi=90(degrees)). The very general case of noncoplanar nuclei having any orientation and azimuthal angles is also discussed. Application of the method to a specific reaction that has been used in experiments for synthesizing a superheavy nucleus is also made.