Dynamical Interplay of Pairing and Quadrupole Modes in Transitional Nuclei. II

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Abstract
We develop a microscopic method to treat the mode-mode couplings between many-quasiparticle excitations and pairing rotations. The canonical transformation method with auxiliary number- and angle-variables is employed to extract the pairing rotational degree of freedom without violating the Pauli principle. In the case of single j-shell, the mode-mode couplings can be treated exactly, the analytical expressions of which are used to test the convergence of the perturbative expansion of the coupling in terms of 1/Ω.

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