# Nuclear scissors mode with pairing

Abstract : The coupled dynamics of the scissors mode and isovector giant quadrupole resonance are studied using a generalized Wigner function moments method taking into account the 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.
Document type :
Journal articles
Complete list of metadatas

http://hal.in2p3.fr/in2p3-00125712
Contributor : Suzanne Robert <>
Submitted on : Monday, January 22, 2007 - 2:11:44 PM
Last modification on : Wednesday, September 16, 2020 - 4:07:55 PM

### Citation

E. B. Balbutsev, L. A. Malov, P. Schuck, Michael Urban, X. Viñas. Nuclear scissors mode with pairing. Physics of Atomic Nuclei / Yadernaya Fizika, MAIK Nauka/Interperiodica, 2008, 71 (6), pp.1012-1030. ⟨10.1134/S1063778808060057⟩. ⟨in2p3-00125712⟩

Record views