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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.

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Physical Review C - Nuclear Physics