Abstract
The coupled dynamics of the isovector and isoscalar giant quadrupole resonances and low-lying modes (including scissors) is studied with the help of the Wigner-function-moment method generalized to take into account pair correlations. Equations of motion for collective variables are derived on the basis of the time-dependent Hartree-Fock-Bogoliubov equations in the harmonic-oscillator model with quadrupole—quadrupole residual interaction and a Gaussian pairing force. Special care is taken of the continuity equation.
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Balbutsev, E.B., Malov, L.A., Schuck, P. et al. Nuclear scissors with pairing and continuity equation. Phys. Atom. Nuclei 72, 1305–1319 (2009). https://doi.org/10.1134/S1063778809080067
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DOI: https://doi.org/10.1134/S1063778809080067