Boson-conserving one-nucleon transfer operator in the interacting boson model

ar X iv : n uc l - th / 0 20 10 61 v 1 2 3 Ja n 20 02 Boson - conserving one - nucleon transfer operator in the interacting boson model

The boson-conserving one-nucleon transfer operator in the interacting boson model (IBA) is reanalyzed. Extra terms are added to the usual form used for that operator. These new terms change generalized seniority by one unit, as the ones considered up to now. The results obtained using the new form for the transfer operator are compared with those obtained with the traditional form in a simple c...

Symmetries in the Interacting Boson Model

We study the energy level statistics of the states in U(5) and O(6) dynamical symmetries of the interacting boson model and the high spin states with backbending in U(5) symmetry. In the calculations, the degeneracy resulting from the additional quantum number is eliminated manually. The calculated results indicate that the finite boson number N effect is prominent. When N has a value close to ...

The Interacting Boson Approximation Model and Applications

Global calculations with the interacting Boson model

The use of the interacting boson model is proposed for systematic calculations of nuclear properties for large regions of the nuclear chart, including exotic nuclei. In the simplest approach a constant hamiltonian is adopted for all nuclei and nuclear shape transitions are governed solely by total boson number or, equivalently, by total valence particle number. More sophisticated methods requir...

The two-boson operator

We address the generalized measurement of the two-boson operator Zγ = a1 + γa † 2 which, for |γ| 6= 1, is not normal and cannot be detected by a joint measurement of quadratures on the two bosons. We explicitly construct the minimal Naimark extension, which involves a single additional bosonic system, and present its decomposition in terms of two-boson linear SU(2) interactions. The statistics ...