Abstract
With the aim of achieving a unified understanding of the pamng correlation for the normal and super systems, the ground and 1st o+ states (called pairing vibrational state) are studied using the two-level model with the pairing force. There exist two kinds of aspects for the classification of states with the same set of seniority { v J} -horizontal and vertical band aspects. The sets of operators are introduced to characterize each aspect, respectively. The former has the direct correspondence between the characteristic behaviour of phase transition and the information from the two-nucleon transfer reactions. However, it can describe only the behaviour of a phase transition, and not its mechanism. In the latter aspect it is possible to specify the four types of operators, each of which plays a characteristic role in the phase transition. It is shown that· this latter set of operators includes the eigenmode operators of pairing vibrational motion for the normal and super systems, that is, the two-boson operator Y;v=XptXn 1 and two-quasi-particle operators Y~v' in a unified manner.
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