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

机译:两种方法的核剪刀模式(维格纳函数矩与RPA)

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摘要

Two complementary methods to describe the collective motion, the RPA and the method of Wigner function moments, are compared using a simple model as an example-a harmonic oscillator with quadrupole-quadrupole residual interaction. It is shown that they give identical formulas for eigenfrequencies and transition probabilities of all collective excitations of the model, including the scissors mode, which is a subject of our special attention. 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. (c) 2005 Pleiades Publishing Inc.
机译:以一个简单的模型为例,比较了两种描述集体运动的互补方法RPA和Wigner函数矩方法-具有四极-四极残余相互作用的谐波振荡器。结果表明,它们为模型的所有集体激励(包括剪刀模式)的本征频率和跃迁概率给出了相同的公式,这是我们特别关注的主题。通过分析计算“合成”剪刀状态的归一化因子及其与物理状态的重叠。严格证明了杂散状态与所有物理状态的正交性。 (c)2005年Pleiades Publishing Inc.

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