Nuclear Scissors Mode with Pairing

Abstract

The coupled dynamics of the scissors mode and the isovector giant quadrupole resonance are studied using a generalized Wigner function moments method taking into account pair correlations. Equations of motion for angular momentum, quadrupole moment and other relevant collective variables are derived on the basis of the time dependent Hartree-Fock-Bogoliubov equations. Analytical expressions for energy centroids and transitions probabilities are found for the harmonic oscillator model with the quadrupole-quadrupole residual interaction and monopole pairing force. Deformation dependences of energies and $B(M1)$ values are correctly reproduced. The inclusion of pair correlations leads to a drastic improvement in the description of qualitative and quantitative characteristics of the scissors mode.

36 pages, 5 figures, the results of calculation by another method and the section concerning currents are added

References in corpus (4)

• Global Properties of Spherical Nuclei Obtained from Hartree-Fock-Bogoliubov Calculations with the Gogny Force
• The Nuclear Scissors Mode in a Solvable Model
• Pairing collectivity in medium-mass neutron-rich nuclei near drip-line
• Semiclassical evaluation of average nuclear one and two body matrix elements

Cited by in corpus (5)

• Magnetic dipole excitations in nuclei: elementary modes of nucleonic motion
• 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
• Nuclear Scissors with Pairing and Continuity Equation