Microscopically derived potential-energy surfaces for the chain of Sm-isotopes

An extended method is presented to microscopically derive potential energy surfaces (PES) for quadrupole-deformed nuclei. The underlying microscopic theory is a symplectic model. Coherent states play a dominant role in the derivation and the Nilsson orbitals are used to extract level occupations. Taking into account the rearrangement in the occupation due to variations in the deformation and the resulting relative change in the zero-point energy, we obtain PESs for 148Sm, 150Sm and 152Sm without resorting to a fit to experimental data. The mass parameter is fitted to the first 6+ state, applying a calculation within the phenomenological geometric model. We achieve good qualitative agreement with the experiments. As special features we obtain an anharmonic oscillator for 148Sm, a PES with two minima for 150Sm and a rotational PES for 152Sm. ((orig.))