gamma-rigid solution of the Bohr Hamiltonian for the critical point description of the spherical to gamma-rigidly deformed shape phase transition

摘要

The gamma- rigid solution of the Bohr Hamiltonian with the beta-soft potential and 0 degrees <= gamma <= 30 degrees is worked out. The resulting model, called T(4), provides a natural dynamical connection between the X(4) and the Z(4) critical-point symmetries, which thus serves as the critical-point symmetry of the spherical to gamma-rigidly deformed shape phase transition. This point is further justified through comparing the model dynamics with those of the interacting boson model. As a preliminary test, the low-lying structures of Er-158 are taken to compare the theoretical calculations, and the results indicate that this nucleus could be considered as the candidate of the T(4) model with an intermediate. deformation.