Energy Level Statistics of the U(5) and O(6) Symmetries in the Interacting Boson Model

Details Energy Level Statistics of the U(5) and O(6) Symmetries in the Interacting Boson Model Energy Level Statistics of the U(5) and O(6) Symmetries in the Interacting Boson Model

2002-11-12

arxiv.org/abs/nucl-th/0211033v4

Phys.Rev. C67 (2003) 044304

Physics

Nuclear Physics

Nuclear Theory

38 pages, 13 figures

Scientific paper

10.1103/PhysRevC.67.044304

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 a realistic one, increasing the interaction strength of subgroup O(5) makes the statistics vary from Poisson-type to GOE-type and further recover to Poisson-type. However, in the case of $N \to \infty$, they all tend to be Poisson-type. The fluctuation property of the energy levels with backbending in high spin states in U(5) symmetry involves a signal of shape phase transition between spherical vibration and axial rotation.

Affiliated with

Also associated with

No associations

Rating

Energy Level Statistics of the U(5) and O(6) Symmetries in 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 Energy Level Statistics of the U(5) and O(6) Symmetries in the Interacting Boson Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Energy Level Statistics of the U(5) and O(6) Symmetries in the Interacting Boson Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-19519