Collective states of the odd-mass nuclei within the framework of the Interacting Vector Boson Model

Details Collective states of the odd-mass nuclei within the framework of the Interacting Vector Boson Model Collective states of the odd-mass nuclei within the framework of the Interacting Vector Boson Model

2007-05-15

arxiv.org/abs/0705.2169v2

J.Phys.G35:125101,2008

Physics

Nuclear Physics

Nuclear Theory

18 pages, 8 figures

Scientific paper

10.1088/0954-3899/35/12/125101

A supersymmetric extension of the dynamical symmetry group $Sp^{B}(12,R)$ of the Interacting Vector Boson Model (IVBM), to the orthosymplectic group $OSp(2\Omega/12,R)$ is developed in order to incorporate fermion degrees of freedom into the nuclear dynamics and to encompass the treatment of odd mass nuclei. The bosonic sector of the supergroup is used to describe the complex collective spectra of the neighboring even-even nuclei and is considered as a core structure of the odd nucleus. The fermionic sector is represented by the fermion spin group $SO^{F}(2\Omega)\supset SU^{F}(2)$. The so obtained, new exactly solvable limiting case is applied for the description of the nuclear collective spectra of odd mass nuclei. The theoretical predictions for different collective bands in three odd mass nuclei, namely $^{157}Gd$, $^{173}Yb$ and $^{163}Dy$ from rare earth region are compared with the experiment. The $B(E2)$ transition probabilities for the $^{157}Gd$ and $^{163}Dy$ between the states of the ground band are also studied. The important role of the symplectic structure of the model for the proper reproduction of the $B(E2)$ behavior is revealed. The obtained results reveal the applicability of the models extension.

Affiliated with

Also associated with

No associations

Rating

Collective states of the odd-mass nuclei within the framework of the Interacting Vector 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 Collective states of the odd-mass nuclei within the framework of the Interacting Vector Boson Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Collective states of the odd-mass nuclei within the framework of the Interacting Vector Boson Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-623187