Abstract
Nuclear scissors modes are considered in the frame of the Wigner function moments method generalized to take into account spin degrees of freedom and pair correlations simultaneously. A new source of nuclear magnetism, connected with counter-rotation of spins up and down around the symmetry axis (hidden angular momenta), is discovered. Its inclusion into the theory allows one to improve substantially the agreement with experimental data in the description of energies and transition probabilities of scissors modes in rare earth nuclei.
Highlights
The nuclear scissors mode was predicted by R
Nuclear scissors modes are considered in the frame of the Wigner function moments method generalized to take into account spin degrees of freedom and pair correlations simultaneously
In recent papers [10, 11] the Wigner Function Moments (WFM) method was applied for the first time to solve the Time Dependent Hartree-Fock (TDHF) equations including spin dynamics
Summary
The nuclear scissors mode was predicted by R. The most successful in the description of the energy and excitation probability of the scissors mode turned out the sum rule method [7] and RPA [8]. Very interesting qualitative features of the scissors mode were discovered with the help of Wigner Function Moments (WFM) method [9,10,11,12]. This method is a purely microscopic one, because it is based on the Time Dependent Hartree-Fock (TDHF) equation. The most remarkable result was the discovery of a new type of nuclear collective motion: rotational oscillations of "spin-up" nucleons with respect of "spin-down" nucleons (the spin scissors mode). In the present work we extend the WFM method to take into account spin degrees of freedom and pair correlations simultaneously
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