A GENERAL NUMERICAL-SOLUTION OF COLLECTIVE QUADRUPOLE SURFACE MOTION APPLIED TO MICROSCOPICALLY CALCULATED POTENTIAL-ENERGY SURFACES

We present a numerical method based on finite elements capable of solving the general Hamiltonian for quadrupole surface motion including deformation-dependent masses and moments of inertia. We illustrate the power and accuracy of this method by comparing the resulting energies, B(E2)-values, and quadrupole moments to well-known analytical limits (Harmonic Oscillator, Wilets-Jean potential). We extend the deformation and spin regions accessible to previous solution methods which allows for a unified description of phenomena like, e.g., very strongly deformed states (beta-0 approximately 1.5) and the usual low-energy quadrupole excitations. Finally we apply this model to the microscopically calculated potential energy surfaces of Pt-138 and U-238 derived from the pseudo-symplectic model and calculate energies. B(E2)-, B(E4)- and quadrupole-values, comparing them to experimental data.