Abstract
The coupled dynamics of the orbital and spin scissors modes is studied with the help of the Wigner Function Moments method on the basis of Time Dependent Hartree-Fock equations in the harmonic oscillator model including spin orbit potential plus quadrupole- quadrupole and spin-spin residual interactions. The relation between our results and the recent experimental data is discussed.
Highlights
The idea of the possible existence of the collective motion in deformed nuclei similar to the scissors motion continues to attract the attention of physicists who extend it on various kinds of objects, not necessary nuclei, and invent new sorts of scissors, for example, the rotational oscillations of neutron skin against a proton-neutron core [2]
The aim of this work is to get a qualitative understanding of the influence of the spin-spin force on the new states analyzed in [3], as, for instance, the spin scissors mode
As a matter of fact we will find that the spin-spin interaction does not change the general picture of the positions of excitations described in [3]
Summary
The idea of the possible existence of the collective motion in deformed nuclei similar to the scissors motion continues to attract the attention of physicists who extend it on various kinds of objects, not necessary nuclei, (for example, magnetic traps, see the review by Heyde at al [1]) and invent new sorts of scissors, for example, the rotational oscillations of neutron skin against a proton-neutron core [2]. Only the spin orbit interaction was included in the consideration, as the most important one among all possible spin dependent interactions because it enters into the mean field. 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). It turns out that the experimentally observed group of peaks in the energy interval 2-4 MeV corresponds very likely to two different types of motion: the conventional (orbital) scissors mode and the spin scissors mode. The most interesting result concerns the B(M1) values of both scissors modes – the spin-spin interaction strongly redistributes M1 strength in the favour of the spin scissors mode, that allows us to give a tentative explanation of recent experimental findings [4, 5]
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