Preliminary selection of candidates for shape isomerism from even-even nuclei with massesA<208

Abstract

This theoretical work represents the first stage in our efforts to establish an extensive list of nonfissile even-even nuclei located inside or near the valley of stability which might develop shape isomers. Our selection relies upon whether a secondary minimum takes place along an elongation axis in the potential energy surfaces of nuclei spread over the mass region $A<\mathrm{}208\mathrm{}$. These surfaces are determined through a joint use of the Hartree-Fock-Bogoliubov and Strutinsky methods. More than seventy nuclei located inside the region $40<A<\mathrm{}208\mathrm{}$ are suggested as possible candidates for shape isomerism.