E(5), X(5), and prolate to oblate shape phase transitions in relativistic Hartree-Bogoliubov theory

Abstract

Relativistic mean field theory with the NL3 force is used to produce potential energy surfaces (PESs) for a series of isotopes suggested as exhibiting critical point symmetries. Relatively flat PESs are obtained for nuclei showing the E(5) symmetry, whereas in nuclei corresponding to the X(5) case, PESs with a bump are obtained. The PESs corresponding to the Pt chain of isotopes suggest a transition from prolate to oblate shapes at $^{186}\mathrm{Pt}$.