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.

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

References in corpus (2)

• SU(3) Symmetry and Scissors Mode Vibrations in Nuclei
• Scissors Modes and Spin Excitations in Light Nuclei including $\Delta N$=2 excitations: Behaviour of ${}^{8}Be$ and ${}^{10}Be$

Cited by in corpus (8)

• Spin Scissors Mode and the Fine Structure of M1 States in Nuclei
• Experimental status of the nuclear spin scissors mode
• A new type of nuclear collective motion - the spin scissors mode
• The Nuclear Scissors Mode from Various Aspects
• Nuclear Scissors with Pairing and Continuity Equation
• Nuclear Scissors Mode with Pairing
• The nuclear scissors mode within two approaches (Wigner function moments versus RPA)
• Nuclear scissors modes and hidden angular momenta