Microscopic Description of Anharmonic Gamma-Vibrations by Means of the Selfconsistent-Collective-Coordinate Method. I

Abstract

We investigate, in a fully microscopic way, the double gammavibrational states in l68Er by means of the selfconsistent-collective-coordinate (See) method proposed by Marumori, Maskawa, Sakata and Kuriyama. In applying the see method, we propose a new prescription to derive a quantized collective Hamiltonian. The collective potential is defined in terms of the Wigner transform of the quantized collective Hamiltonian. It is different from the potential defined by the energy expectation values with respect to the time-even Slater determinants, and we find that it acquires a much stronger tendency toward the triaxial equilibrium shape than the latter. Numerical calculations show that 168Er is situated just in the transitional region toward the triaxial equilibrium shape.