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For a description of large-amplitude collective motion associated withnuclear pairing, requantization of time-dependent mean-field dynamics isperformed using the stationary-phase approximation (SPA) to the path integral.We overcome the difficulty of the SPA, which is known to be applicable tointegrable systems only, by developing a requantization approach combining theSPA with the adiabatic self-consistent collective coordinate method (ASCC+SPA).We apply the ASCC+SPA to multi-level pairing models, which are non-integrablesystems, to study the nuclear pairing dynamics. The ASCC+SPA gives a reasonabledescription of low-lying excited $0^+$ states in non-integrable pairingsystems.

Low-lying collective excited states in non-integrable pairing models based on stationary-phase approximation to path integral