Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2008-02-25
Phys.Rev.C77:054307,2008
Physics
Nuclear Physics
Nuclear Theory
Scientific paper
10.1103/PhysRevC.77.054307
The connections between the $E(5)-$models (the original E(5) using an infinite square well, $E(5)-\beta^4$, $E(5)-\beta^6$ and $E(5)-\beta^8$), based on particular solutions of the geometrical Bohr Hamiltonian with $\gamma$-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 wavefunctions 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 $E(5)-\beta^4$ and reduces when passing through $E(5)-\beta^6$, $E(5)-\beta^8$ 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.
Arias José M.
Garcia-Ramos José-Enrique
No associations
LandOfFree
On the relation between $E(5)-$models and the interacting boson model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On the relation between $E(5)-$models and the interacting boson model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the relation between $E(5)-$models and the interacting boson model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-604029