The nuclear scissors mode within two approaches (Wigner function moments versus RPA)

Details The nuclear scissors mode within two approaches (Wigner function moments versus RPA) The nuclear scissors mode within two approaches (Wigner function moments versus RPA)

2005-02-14

arxiv.org/abs/nucl-th/0502036v1

Phys.Atom.Nucl. 68 (2005) 1497-1509; Yad.Fiz. 68 (2005) 1555-1567

Physics

Nuclear Physics

Nuclear Theory

39 pages

Scientific paper

10.1134/1.2053333

Two complementary methods to describe the collective motion, RPA and Wigner function moments method, are compared on an example of a simple model - harmonic oscillator with quadrupole-quadrupole residual interaction. It is shown that they give identical formulae for eigenfrequencies and transition probabilities of all collective excitations of the model including the scissors mode, which here is the subject of our special attention. The exact relation between the variables of the two methods and the respective dynamical equations is established. The normalization factor of the "synthetic" scissors state and its overlap with physical states are calculated analytically. The orthogonality of the spurious state to all physical states is proved rigorously.

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