The Nuclear Scissors Mode in a Solvable Model
Abstract
The coupled dynamics of the scissors mode and the isovector giant quadrupole resonance is studied in a model with separable quadrupole-quadrupole residual interactions. The method of Wigner function moments is applied to derive the dynamical equations for angular momentum and quadrupole moment. Analytical expressions for energies, B(M1)- and B(E2)-values, sum rules and flow-patterns of both modes are found for arbitrary values of the deformation parameter. Some predictions for the case of superdeformation are given. The subtle nature of the phenomenon and its peculiarities are clarified.
Cite
@article{arxiv.nucl-th/0212048,
title = {The Nuclear Scissors Mode in a Solvable Model},
author = {E. B. Balbutsev and P. Schuck},
journal= {arXiv preprint arXiv:nucl-th/0212048},
year = {2008}
}
Comments
49 pages, 3 figures. We corrected the force constant which influenced mostly the results of the superdeformed region. Flow patterns are left without any changes