A solvable extended Hamiltonian that includes multipair interactions among s and d bosons up to infinite order within the framework of the interacting boson model (IBM) is proposed to gain a better description of E(5) model results for finite-N systems. Numerical fits to low-lying energy levels and reduced E2 transition rates within this extended version of the theory are presented for various N values. The fits show that the extended Hamiltonian within the IBM provides a better description of the E(5) model results for small-N cases, while the results of the model in the large-N cases are close to those of the E(5)-β2n type models studied previously.
Publication Source (Journal or Book title)
Physical Review C - Nuclear Physics
Pan, F., Zhang, Y., Xu, H., Dai, L., & Draayer, J. (2015). Alternative solvable description of the E(5) critical point symmetry in the interacting boson model. Physical Review C - Nuclear Physics, 91 (3) https://doi.org/10.1103/PhysRevC.91.034305