The quantum phase transitional behavior of an alternative characterization of the spherical to axially deformed shape-phase transition in the interacting boson model is explored. Specifically, the usual SU(3) quadrupole-quadrupole interaction is replaced by an O(6) cubic interaction, and the transitional behaviors of the low-lying energy levels, eigenstates, isomer shifts, E2 transition rates, and expectation values of shape variables across the entire transitional region are all examined within this context. A comparison with outcomes of the usual U(5)-SU(3) transitional description shows that the spherical to axially deformed shape-phase transition can also be described within this alternative context, especially near the critical point. However, with the O(6) cubic interaction the transition is considerably smoother than for the U(5)-SU(3) case, but with the nuclear shape less well defined, even in the axially deformed limit. It is also shown that the new scheme seems better than the usual U(5)-SU(3) scheme in describing the low-lying spectrum of 152Sm with X(5) critical point symmetry. © 2012 American Physical Society.
Publication Source (Journal or Book title)
Physical Review C - Nuclear Physics
Dai, L., Pan, F., Liu, L., Wang, L., & Draayer, J. (2012). Alternative characterization of the spherical to axially deformed shape-phase transition in the interacting boson model. Physical Review C - Nuclear Physics, 86 (3) https://doi.org/10.1103/PhysRevC.86.034316