2008/02/25 by J. E. García-Ramos, J. E. Garcia-Ramos, J. M. Arias
Physics and Astronomy · #Advanced Chemical Physics Studies #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #nucl-th
paper · pdf · doi:10.1103/physrevc.77.054307
published as Phys.Rev.C77:054307,2008
arxiv created 2008/02/25 · openalex publication_date 2008/05/09 · arxiv updated 2009/12/01 · openalex created_date 2022/05/11 · openalex updated_date 2026/07/28
The connections between the E(5) models [the original E(5) using an infinite square well, E(5)-\ensuremathβ4, E(5)-\ensuremathβ6, and E(5)-\ensuremathβ8], based on particular solutions of the geometrical Bohr Hamiltonian with \ensuremathγ-unstable potentials, and the interacting boson model (IBM) are explored. For that purpose, the general IBM Hamiltonian for the U(5)-O(6) transition line is used and a numerical fit to the different E(5) models energies is performed, later on the obtained wave functions are used to calculate B(E2) transition rates. It is shown that within the IBM one can reproduce very well all these E(5) models. The agreement is the best for E(5)-\ensuremathβ4 and reduces when passing through E(5)-\ensuremathβ6, E(5)-\ensuremathβ8, and E(5), where the worst agreement is obtained (although still very good for a restricted set of lowest-lying states). The fitted IBM Hamiltonians correspond to energy surfaces close to those expected for the critical point. A phenomenon similar to the quasidynamical symmetry is observed.