NUCLEAR MOLECULAR POTENTIALS BASED ON A SYMPLECTIC MICROSCOPIC MODEL

The symplectic model for single nuclei is extended to nuclear molecules. We construct the microscopic Hamiltonian. Rather than solving the Schrodinger equation in the microscopic space, we map the Hamiltonian to a potential in a phenomenological space with parameters related to the internuclear distance, deformation of the individual nuclei, and relative orientations. As examples we construct the potentials of the systems C-12-C-12 and O-16-O-16 and compare them to potentials obtained by other standard methods. The parameters of the potentials are fixed by experimental data of the individual nuclei. No further parameters are adjusted in the derivation of the internuclear potential. Using the microscopic model we obtain a better understanding of the structure of molecular potentials. (C) 1995 Academic Press, Inc.