Abstract

This paper are dedicated to introduce and study the spin-isospin collective excited states of nuclei, together with the relevant HF+RPA or HFB+QRPA models which are widely used for the studies of these collective excited states. Studying of these collective excited states may attain some insights and information for the spin-dependent nucleon-nucleon interactions. Previously the self-consistent Skyrme-HF+RPA model has been applied to study the GT and SD transitions in closed-shell nuclei, where the tensor force produces strong effects on the main peak energy, which provides strong constraint for the strengths of Skyrme tensor terms. For the pf shell nuclei with N ~ Z , the Isoscalar (IS) pairing force plays a determinant role for the low energy strong GT states, which may well constrain the strength of IS pairing through the excitation energies of these strong GT states in certain nuclei.

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