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Nuclear Scissors with Pairing and Continuity Equation

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arxiv 0810.5213 v1 pith:GAHUBB7J submitted 2008-10-29 nucl-th

Nuclear Scissors with Pairing and Continuity Equation

classification nucl-th
keywords continuityequationequationspairingscissorsaccountbasiscare
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The coupled dynamics of the isovector and isoscalar giant quadrupole resonances and low lying modes (including scissors) are studied with the help of the Wigner Function Moments (WFM) 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 (TDHFB) equations in the harmonic oscillator model with quadrupole-quadrupole (QQ) residual interaction and a Gaussian pairing force. Special care is taken of the continuity equation.

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