2008
DOI: 10.1134/s1063778808060057
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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 Nevertheless, this description was not complete, because pairing was not taken into account.It i… Show more

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Cited by 17 publications
(22 citation statements)
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“…Nevertheless let us calculate the energies and B(M1) factors to get an idea of the order of magnitude of the discrepancy with experimental data. We will also compare our results with those of [3] in order to see the effect of the violation or non-violation of the continuity equation.…”
Section: Numerical Results For the Scissors Modementioning
confidence: 97%
“…Nevertheless let us calculate the energies and B(M1) factors to get an idea of the order of magnitude of the discrepancy with experimental data. We will also compare our results with those of [3] in order to see the effect of the violation or non-violation of the continuity equation.…”
Section: Numerical Results For the Scissors Modementioning
confidence: 97%
“…Further developments of the Wigner Function Moments method, namely, the switch from TDHF to Time Dependent Hartree-Fock Bogoliubov (TD-HFB) equations, i.e. taking into account pair correlations, allowed us to improve considerably the quantitative description of the scissors mode [13,14]: for rare earth nuclei the energies are reproduced with ∼ 10% accuracy and B(M1) values were reduced by about a factor of two with respect to their non superfluid values. However, they remain about two times too high with respect to experiment.…”
Section: Introductionmentioning
confidence: 99%
“…We will work with the Wigner transform [20] of equations (5). The relevant mathematical details can be found in [13]. The most essential relations are outlined in Appendix B.…”
Section: Hartree-fock-bogoliubov Equationsmentioning
confidence: 99%